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by Gregor Fels, Alan Huckleberry, Joseph A. Wolf
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Progress in Mathematics ; 245
オンライン: http://dx.doi.org/10.1007/0-8176-4479-2
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2.

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by Yvette Kosmann-Schwarzbach
出版情報: New York, NY : Springer-Verlag New York, 2010
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-387-78866-1
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edited by Özgür Ceyhan, Yu. I. Manin, Matilde Marcolli
出版情報: Boston : Birkhäuser Boston, 2010
シリーズ名: Progress in Mathematics ; 279
オンライン: http://dx.doi.org/10.1007/978-0-8176-4831-2
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4.

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by Kang Feng, Mengzhao Qin
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
オンライン: http://dx.doi.org/10.1007/978-3-642-01777-3
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5.

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by John R. Klauder
出版情報: Boston : Birkhäuser Boston, 2011
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4791-9
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6.

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by V.S. Varadarajan
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4419-0667-0
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7.

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by Nadir Jeevanjee
出版情報: Boston : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-0-8176-4715-5
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8.

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by Stephen J. Gustafson, Israel Michael Sigal
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-642-21866-8
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9.

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by D.M. Gitman, I.V. Tyutin, B.L. Voronov
出版情報: Boston : Birkhäuser Boston, 2012
シリーズ名: Progress in Mathematical Physics ; 62
オンライン: http://dx.doi.org/10.1007/978-0-8176-4662-2
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10.

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edited by Tilman Sauer, Ulrich Majer
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
オンライン: http://dx.doi.org/10.1007/b12915
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11.

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by Franck Jedrzejewski
出版情報: Paris : Springer-Verlag Paris, 2009
オンライン: http://dx.doi.org/10.1007/978-2-287-99308-4
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12.

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edited by A.J. Kox
出版情報: New York, NY : Springer Science+Business Media, LLC, 2009
シリーズ名: Sources and Studies in the History of Mathematics and Physical Sciences ;
オンライン: http://dx.doi.org/10.1007/978-0-387-77940-9
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13.

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by Carlo Maria Becchi, Massimo D’Elia
出版情報: Milano : Springer-Verlag Milan, 2010
シリーズ名: UNITEXT, Collana di Fisica e Astronomia ;
オンライン: http://dx.doi.org/10.1007/978-88-470-1616-3
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14.

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by George Lusztig
出版情報: Boston : Springer Science+Business Media, LLC, 2010
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4717-9
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15.

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by Ambar N. Sengupta
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-1-4614-1231-1
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16.

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by Brian C. Hall
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Graduate Texts in Mathematics ; 267
オンライン: http://dx.doi.org/10.1007/978-1-4614-7116-5
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目次情報: 続きを見る
1 The Experimental Origins of Quantum Mechanics
2 A First Approach to Classical Mechanics
3 A First Approach to Quantum Mechanics
4 The Free Schrödinger Equation
5 A Particle in a Square Well
6 Perspectives on the Spectral Theorem
7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements
8 The Spectral Theorem for Bounded Sef-Adjoint Operators: Proofs
9 Unbounded Self-Adjoint Operators
10 The Spectral Theorem for Unbounded Self-Adjoint Operators
11 The Harmonic Oscillator
12 The Uncertainty Principle
13 Quantization Schemes for Euclidean Space
14 The Stone–von Neumann Theorem
15 The WKB Approximation
16 Lie Groups, Lie Algebras, and Representations
17 Angular Momentum and Spin
18 Radial Potentials and the Hydrogen Atom
19 Systems and Subsystems, Multiple Particles
V Advanced Topics in Classical and Quantum Mechanics
20 The Path-Integral Formulation of Quantum Mechanics
21 Hamiltonian Mechanics on Manifolds
22 Geometric Quantization on Euclidean Space
23 Geometric Quantization on Manifolds
A Review of Basic Material
References. - Index
1 The Experimental Origins of Quantum Mechanics
2 A First Approach to Classical Mechanics
3 A First Approach to Quantum Mechanics
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edited by Bertrand Duplantier
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Progress in Mathematical Physics ; 63
オンライン: http://dx.doi.org/10.1007/978-3-0348-0359-5
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Foreword
Time and Relativity, Thibault Damour
(Ir)reversibility and Entropy, Cédric Villani
(Ir)réversibilité et entropie, Cédric Villani
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale, Christopher Jarzynski
Time Measurement in the XXIst Century, Christophe Salomon
Time’s Arrow and Eddington’s Challenge, Huw Price
Image of Time’s Irreversibility, Catherine de Mitry
Image de l'irréversibilité du Temps, Catherine de Mitry
Foreword
Time and Relativity, Thibault Damour
(Ir)reversibility and Entropy, Cédric Villani
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edited by Albert N. Shiryaev, S. R. S. Varadhan, Ernst L. Presman
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 33
オンライン: http://dx.doi.org/10.1007/978-3-642-33549-5
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Part I Scientific Papers: David J. Aldous: When Knowing Early Matters: Gossip, Percolation and Nash Equilibria
Vadim Arkin and Alexander Slastnikov: A Mathematical Model of Investment Incentives
Guus Balkema, Paul Embrechts and Natalia Nolde: The Shape of Asymptotic Dependence
Ole E. Barndorff-Nielsen, Jose Manuel Corcuera and Mark Podolskij: Limit theorems for functionals of higher order differences of Brownian semi-stationary processes
 Jean Bertoin and Marc Yor: Retrieving Information from Subordination
Algimantas Bikelis: Asymptotic Expansions for Distributions of Sums of Independent Random Vectors
 Alexandr A. Borovkov and Konstantin A. Borovkov: An Extension of the Concept of Slowly Varying Function with Applications to Large Deviation Limit Theorems
Ekaterina Bulinskaya: Optimal and Asymptotically Optimal Control for Some Inventory Models
Suzanne Cawston and Lioudmila Vostrikova: Levy Preservation and Associated Properties for f -divergence Minimal Equivalent Martingale Measures
Francesco Cellarosi, Yakov G. Sinai: Non-Standard Limit Theorems in Number Theory.- Linan Chen and Daniel W. Stroock: Additive Functions and Gaussian Measures
Gennadii Chistyakov and Friedrich Gotze: Free Infinitely Divisible Approximations of n-fold Free Convolutions
Gerd Christoph, Vladimir V. Ulyanov and Yasunori Fujikoshi: Accurate Approximation of  Correlation Coefficients by Short Edgeworth-Chebyshev Expansion and Its Statistical Applications
 Shakir K. Formanov and Tamara A. Formanova: The Stein-Tikhomirov Method and Berry-Esseen Inequality for Sampling Sums from a Finite Population of Independent Random Variables
Nicko Gamkrelidze: On One Inequality for Characteristic Functions
Bronius Grigelionis: On the Nonlinear Filtering Equations for Superprocesses in Random Environment
Vijay Gupta and Tengiz Shervashidze: Upper Bounds for Bernstein Basis Functions
 Ildar Ibragimov and Dmitry Zaporozhets: On Distribution of Zeros of Random Polynomials in Complex Plane
Peter Jagers and Fima C. Klebaner: Dependence and Interaction in Branching Processes
 Gyula O.H. Katona: Testing Functional Connection between Two Random Variables
Kalyanapuram R.Parthasarathy: The Symmetry Group of Gaussian States in L2(Rn)
 Ernst Presman: Solution of the Optimal Stopping Problem for One-dimensional Diffusion Based on a Modification of the Payoff Function
Part II Interviews: Friedrich Götze and Willem R. van Zwet: The times of Yuri Vasilyevich Prokhorov.- Larry Shepp: A Conversation with Yuri Vasilyevich Prokhorov.
Part I Scientific Papers: David J. Aldous: When Knowing Early Matters: Gossip, Percolation and Nash Equilibria
Vadim Arkin and Alexander Slastnikov: A Mathematical Model of Investment Incentives
Guus Balkema, Paul Embrechts and Natalia Nolde: The Shape of Asymptotic Dependence
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by Stephen Bruce Sontz
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-319-15829-7
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目次情報: 続きを見る
Introduction
First Order Differential Calculus
Fodc's of a Hopf Algebra
Adjoint Co-action
Covariant Bimodules
Covariant Fodc's
The Braid Groups
An Interlude: Some Abstract Nonsense
The Braided Exterior Algebra
Higher Order Differential Calculus
Structures
Quantum Principal Bundles
Finite Classical Groups
Dunkl Operators as Covariant Derivatives in a QPB
What Next?
Introduction
First Order Differential Calculus
Fodc's of a Hopf Algebra
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by Naofumi Honda, Takahiro Kawai, Yoshitsugu Takei
出版情報: Tokyo : Springer Japan : Imprint: Springer, 2015
シリーズ名: SpringerBriefs in Mathematical Physics ; 4
オンライン: http://dx.doi.org/10.1007/978-4-431-55702-9
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1. Definition and basic properties of virtual turning Points
2. Application to the Noumi-Yamada system with a large Parameter
3. Exact WKB analysis of non-adiabatic transition problems for 3-levels
A. Integral representation of solutions and the Borel resummed WKBsolutions
1. Definition and basic properties of virtual turning Points
2. Application to the Noumi-Yamada system with a large Parameter
3. Exact WKB analysis of non-adiabatic transition problems for 3-levels
21.

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by Brigitte Bidégaray-Fesquet
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名: Mathématiques & Applications ; 49
オンライン: http://dx.doi.org/10.1007/3-540-37725-5
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22.

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by Maurice Gosson
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Operator Theory: Advances and Applications ; 166
オンライン: http://dx.doi.org/10.1007/3-7643-7575-2
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23.

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by Marco Pettini
出版情報: New York, NY : Springer Science+Business Media, 2007
シリーズ名: Interdisciplinary Applied Mathematics ; 33
オンライン: http://dx.doi.org/10.1007/978-0-387-49957-4
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24.

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edited by Yoshiaki Maeda, Takushiro Ochiai, Peter Michor, Akira Yoshioka
出版情報: Boston, MA : Birkhäuser Boston, 2007
シリーズ名: Progress in Mathematics ; 252
オンライン: http://dx.doi.org/10.1007/978-0-8176-4530-4
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25.

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by Gabriella Tarantello
出版情報: Boston, MA : Birkhäuser Boston, 2008
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 72
オンライン: http://dx.doi.org/10.1007/978-0-8176-4608-0
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26.

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by Lajos Molnár
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1895
オンライン: http://dx.doi.org/10.1007/3-540-39944-5
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27.

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by Hans G. Feichtinger, Bernard Helffer, Michael P. Lamoureux, Nicolas Lerner, Joachim Toft ; edited by J. -M. Morel, F. Takens, B. Teissier, Luigi Rodino, M. W. Wong
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1949
オンライン: http://dx.doi.org/10.1007/978-3-540-68268-4
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28.

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by Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Yizhao Hou ; edited by Naoufel Ben Abdallah, Giovanni Frosali
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1946
オンライン: http://dx.doi.org/10.1007/978-3-540-79574-2
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29.

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by Dan Abramovich, Marcos Mariño, Michael Thaddeus, Ravi Vakil ; edited by J. -M. Morel, F. Takens, B. Teissier, Kai Behrend, Marco Manetti
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1947
オンライン: http://dx.doi.org/10.1007/978-3-540-79814-9
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30.

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by Vladislav Kharchenko
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2150
オンライン: http://dx.doi.org/10.1007/978-3-319-22704-7
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目次情報: 続きを見る
Elements of noncommutative algebra
Poincar´e-Birkhoff-Witt basis
Quantizations of Kac-Moody algebras
Algebra of skew-primitive elements
Multilinear operations
Braided Hopf algebras
Binary structures
Algebra of primitive nonassociative polynomials
Elements of noncommutative algebra
Poincar´e-Birkhoff-Witt basis
Quantizations of Kac-Moody algebras
31.

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by Stephen Bruce Sontz
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-40767-4
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目次情報: 続きを見る
Introduction to this Path
Viewpoint
Neither Particle nor Wave
Schrödinger's Equation
Operators and Canonical Quantization
The Harmonic Oscillator
Interpreting: Mathematics
Interpreting: Physics
The Language of Hilbert Space
Interpreting: Measurement
The Hydrogen Atom
Angular Momentum
The Rotation Group SO(3)
Spin and SU(2)
Bosons and Fermions
Classical and Quantum Probability
The Heisenberg Picture
Uncertainty (Optional)
Speaking of Quantum Theory (Optional)
Complementarity (Optional)
Axioms (Optional)
And Gravity?
Measure Theory: A Crash Course
Introduction to this Path
Viewpoint
Neither Particle nor Wave
32.

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edited by Pablo Miranda, Nicolas Popoff, Georgi Raikov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Latin American Mathematics Series – UFSCar subseries ;
オンライン: https://doi.org/10.1007/978-3-030-55556-6
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Commutator methods for N-body Schrödinger operators
Resolvent estimates and resonance free regions for Schrödinger operators with matrix-valued potentials
One-dimensional discrete Anderson model in a decaying random potential: From a.c. spectrum to dynamical localization
On non-selfadjoint operators with finite discrete spectrum
Pseudo-differential perturbations of the Landau Hamiltonian
Semiclassical surface wave tomography of isotropic media
Persistence of point spectrum for perturbations of one-dimensional operators with discrete spectra
Resonances for a system of Schrödinger operators above an energy-level crossing
Nonexistence result for wave operators in massive relativistic system
Quantized calculus for perturbed massive Dirac operator on noncommutative Euclidian space
On the explicit semiclassical limiting eigenvalue (resonance) distribution for the Zeeman (Stark) hydrogen atom Hamiltonian
Negative spectrum of the Robin Laplacian
On some integral operators appearing in scattering theory, and their resolutions
The strong Scott conjecture: The density of heavy atoms close to the nucleous
Commutator methods for N-body Schrödinger operators
Resolvent estimates and resonance free regions for Schrödinger operators with matrix-valued potentials
One-dimensional discrete Anderson model in a decaying random potential: From a.c. spectrum to dynamical localization
33.

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by Asao Arai
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Mathematical Physics Studies ;
オンライン: https://doi.org/10.1007/978-981-15-2180-5
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目次情報: 続きを見る
Mathematical Preliminaries
Representations of Canonical Commutation Relations with Finite
Aharonov–Bohm Effect and Inequivalent Representations of CCR
Time Operators
Representations of Canonical Anti-commutation Relations with Finite Degrees of Freedom
Elements of the Theory of Boson Fock Spaces
Elements of the Theory of Fermion Fock Spaces
Representations of CCR with Infinite Degrees of Freedom
Representations of CAR with Infinite Degrees of Freedom
Physical Correspondences in Quantum Field Theory
Mathematical Preliminaries
Representations of Canonical Commutation Relations with Finite
Aharonov–Bohm Effect and Inequivalent Representations of CCR
34.

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edited by Vladimir Dobrev
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 335
オンライン: https://doi.org/10.1007/978-981-15-7775-8
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目次情報: 続きを見る
1 PlenaryTalks, T. Kobayashi, Topics on global analysis of manifolds and representation theory of reductive groups
T. Kobayashi and B. Speh, A hidden symmetry of a branching law
I. Todorov, Exceptional quantum algebra for the standard model of particle physics
M. de Leeuw, B. Eden, D. le Plat, and T. Meier, Polylogarithms from the bound state S-matrix
M. Henkel and S. Stoimenov, Meta-conformal invariance and their covariant correlation functions
I. L. Buchbinder, S. Fedoruk, A.P. Isaev, Infinite spin particles and super particles
E. Ivanov, Supersymmetric Calogero-type models via gauging in superspace
I. Kostov, The Octagon form factor in N = 4SYM and free fermions
P. Phillips and G. La Nave, Nother’s second theorem as an obstruction to charge quantization
G. W. Semenoff, Entanglement and the Infrared
A.V. Smilga, Comments on the Newlander-Nirenberg theorem
N.I. Stoilova and J. Van der Jeugt, A class of representations of the orthosymplectic Lie superalgebras B(n,n) and B(∞,∞)
K. Yoshida, Recent progress on Yang-Baxter deformation and generalized supergravity
G. Manolakos, P. Manousselis and G. Zoupanos, Gauge Theories on Fuzzy Spaces and Gravity
String Theories and Gravity Theories, D. Benisty, E. Guendelman, A. Kaganovich, E. Nissimov, and S. Pacheva, Modified Gravity Theories Based on the Non-Canonical Volume-Form Formalism
A. Marrani, Non-linear symmetries in Maxwell-Einstein gravity:from Freudenthal duality to pre-homogeneous vector spaces
H. Partouche and B. de Vaulchier, Phase transitions at high supersymmetry breaking scale in string theory
F. Riccioni, Exotic branes and exotic dualities in supergravity
H. Dimov, R.C. Rashkov and T. Vetsov, Thermodynamic information geometry and applications in holography
D. Staicova, The role of the slope in the multi-measure cosmological model
D. Benisty, E.I. Guendelman and J. Struckmeier, Gauge theory of gravity based on the correspondence between the 1st and the 2nd order formalisms
3 IntegrableSystems, C. Burdik and O. Navratil, Nested Bethe Ansatz for RTT–algebra of Uq(sp(2n)) type
O. Vaneeva, O. Magda and A. Zhalij, Equivalence groupoid and enhanced group classification of a class of generalized Kawahara equations
C. Rim, Interplay between minimal gravity and intersection theory
Y. Ohkubo, Generalized Macdonald functions, AGT correspondence and intertwiners of DIM algebra
4 Representation Theory, W. M. McGovern, Closures of K-orbits in the flag variety for Sp(2n,R)
I. Smilga, Action of the restricted Weyl group on the L-invariant vectors of a representation
E. Ongong’a, J. Ongaro, S. Silvestrov, Hom-Lie structures on complex 4-dimensional Lie algebras
V.K. Dobrev, Multiplet classification and invariant differential operators over the Lie algebra F′4
A. Langlois-Remillard and R. Oste, An exceptional symmetry algebra for the 3D Dirac–Dunkl operator
J. Hrivnak and L. Motlochova, Graphene dots via discretizations of Weyl-orbit functions
T. Hayashi, A construction of (g,K)-modules over commutative rings
I. Barza and D. Ghisa, Lie groups actions on non orientable Klein surface
5 Quantum Groups and Deformations, T. Popov, Quantum diagonal algebra and pseudo-plactic algebra
M. Nesterenko and S. Posta, Contractions of realizations
P. Back, Multi-parameter formal deformations of ternary hom-Nambu-Lie algebras
6 Applications to Quantum Theory, S. Stoimenov and M. Henkel, Meta-conformal invariance in the directed Glauber-Ising chain
I. Salom and V. Dmitrasinovic, Relativistic three-body harmonic oscillator
J. Mashford, An introduction to spectral regularization for quantum field theory
M. Hewitt, Relative quantum states, observations and moduli stacks
M. Blasone, P. Jizba and L. Smaldone, Dynamical generation of flavour vacuum
O.C. Stoica, A representation of the wave-function on 3-dimensional space
Various Mathematical Results, J. Fullwood, On a Grothendieck-Brieskorn relation for elliptic Calabi-Yaus
A. Ganchev, Control and composability in deep learning -brief overview by a learner
C. Anghel, N. Buruiana and D. Cheptea, Lie theory and infinitesimal extensions in algebraic geometry
J. Ecker, The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in general tensor densities modules
P. Benito and J. Roldan-Lopez, Derivations and automorphisms of free nilpotent Lie algebras and their quotients
1 PlenaryTalks, T. Kobayashi, Topics on global analysis of manifolds and representation theory of reductive groups
T. Kobayashi and B. Speh, A hidden symmetry of a branching law
I. Todorov, Exceptional quantum algebra for the standard model of particle physics
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by Matteo Campanella, David Jou, Maria Stella Mongiovì
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: UNIPA Springer Series ;
オンライン: https://doi.org/10.1007/978-3-030-44207-1
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目次情報: 続きを見る
1 Fundamental assumptions
2 The state of a quantum system as a subsystem of a composite system
3 Relation between the state of a system as isolated and as open
4 Universality of the probability function
5 Appendix A
6 Appendix B
7 Appendix C
8 Appendix D.
1 Fundamental assumptions
2 The state of a quantum system as a subsystem of a composite system
3 Relation between the state of a system as isolated and as open
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by Stephen J. Gustafson, Israel Michael Sigal
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Universitext ;
オンライン: https://doi.org/10.1007/978-3-030-59562-3
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目次情報: 続きを見る
1 Physical Background
2 Dynamics
3 Observables
4 Quantization
5 Uncertainty Principle and Stability of Atoms and Molecules
6 Spectrum and Dynamics
7 Special Cases
8 Bound States and Variational Principle
9 Scattering States
Existence of Atoms and Molecules
11 Perturbation Theory: Feshbach-Schur Method
12 Born-Oppenheimer Approximation and Adiabatic Dynamics
13 General Theory of Many-particle Systems
14 Self-consistent Approximations
15 The Feynman Path Integral
16 Semi-classical Analysis
17 Resonances
18 Quantum Statistics
19 Open Quantum Systems
20 The Second Quantization
21 Quantum Electro-Magnetic Field – Photons
22 Standard Model of Non-relativistic Matter and Radiation
23 Theory of Radiation
24 Renormalization Group
25 Mathematical Supplement: Spectral Analysis
26 Mathematical Supplement: The Calculus of Variations
27 Comments on Literature, and Further Reading
References
Index
1 Physical Background
2 Dynamics
3 Observables
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by Jet Nestruev
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Graduate Texts in Mathematics ; 220
オンライン: https://doi.org/10.1007/978-3-030-45650-4
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目次情報: 続きを見る
Foreword
Preface
1. Introduction
2. Cutoff and Other Special Smooth Functions on R^n
3. Algebras and Points
4. Smooth Manifolds (Algebraic Definition)
5. Charts and Atlases
6. Smooth Maps
7. Equivalence of Coordinate and Algebraic Definitions
8. Points, Spectra and Ghosts
9. The Differential Calculus as Part of Commutative Algebra
10. Symbols and the Hamiltonian Formalism
11. Smooth Bundles
12. Vector Bundles and Projective Modules
13. Localization
14. Differential 1-forms and Jets
15. Functors of the differential calculus and their representations
16. Cosymbols, Tensors, and Smoothness
17. Spencer Complexes and Differential Forms
18. The (co)chain complexes that come from the Spencer Sequence
19. Differential forms: classical and algebraic approach
20. Cohomology
21. Differential operators over graded algebras
Afterword
Appendix
References
Index
Foreword
Preface
1. Introduction
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by Inge S. Helland
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-81923-1
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1. The epistemic view upon science
2. Statistical inference
3. Inference in an epistemic process
4. Towards quantum theory
5. Aspects of quantum theory
6. Macroscopic consequences
1. The epistemic view upon science
2. Statistical inference
3. Inference in an epistemic process
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edited by Sergio Albeverio, Anindita Balslev, Ricardo Weder
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 348
オンライン: https://doi.org/10.1007/978-3-030-68490-7
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S. Albeverio and R. Weder, Introduction to the scientific contributions in the book
S. Albeverio and I. Karabash, Asymptotics of random resonances generated by a point process of delta-interactions
M. S. Ashbaugh, F. Gesztesy, L. Hermi, K. Kirsten, L. Littlejohn and H. Tossounian, Green’s function and Euler’s formula for ζ(2n)
P. Bérard and B. Helffer, On Courant’s nodal domain property for linear combinations of eigenfunctions
Part II: A. Boutet de Monvel and L. Zielinski, Asymptotic behavior of large eigenvalues of the two-photon Rabi model
J.-Michel Combes and P. Hislop, Some remarks on spectral averaging and the local density of states for random Schrödinger operators on L²(ℝd)
R. Froese and I. Herbst, Resonances in the one dimensional Stark effect in the limit of small field
P. Kurasov and J. Muller, On the spectral gap for networks of beams
K. Nicholas Leibovic, Some notes in the context of binocular space perception
T. Paul, Symbolic calculus for singular curve operators
Y. N. Petridis and M. S. Risager, Higher order deformations of hyperbolic spectra
S. K. Sekatskii, On the generalized Li’s criterion equivalent to the Riemann hypothesis and its first applications
M. Spreafico and A. Zaccagnini, Regularizing infinite products by the asymptotics of finite products
R. Weder, Trace maps under weak regularity assumptions
S. Albeverio and R. Weder, Introduction to the scientific contributions in the book
S. Albeverio and I. Karabash, Asymptotics of random resonances generated by a point process of delta-interactions
M. S. Ashbaugh, F. Gesztesy, L. Hermi, K. Kirsten, L. Littlejohn and H. Tossounian, Green’s function and Euler’s formula for ζ(2n)
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by Tuncay Aktosun, Ricardo Weder
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Applied Mathematical Sciences ; 203
オンライン: https://doi.org/10.1007/978-3-030-38431-9
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The matrix Schrödinger equation and the characterization of the scattering data
Direct scattering I
Direct scattering II
Inverse scattering
Some explicit examples
Mathematical preliminaries
The matrix Schrödinger equation and the characterization of the scattering data
Direct scattering I
Direct scattering II
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by Mathieu Lewin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Mathématiques et Applications ; 87
オンライン: https://doi.org/10.1007/978-3-030-93436-1
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Préface
Chapter. 1
Introduction à la mécanique quantique : l’atome d’hydrogène
Chapter. 2
Auto-adjonction
Chapter. 3
Critères d’auto-adjonction : Rellich, Kato & Friedrichs
Chapter. 4
Théorème spectral et calcul fonctionnel
Chapter. 5
Spectre des opérateurs auto-adjoints
Chapter. 6
Systèmes à N particules, atomes, molécules
Chapter. 7
Opérateurs de Schrödinger périodiques et propriétés électroniques des matériaux
Préface
Chapter. 1
Introduction à la mécanique quantique : l’atome d’hydrogène
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by Fabio Nicola, S. Ivan Trapasso
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Lecture Notes in Mathematics ; 2305
オンライン: https://doi.org/10.1007/978-3-031-06186-8
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by Yvette Kosmann-Schwarzbach
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Universitext ;
オンライン: https://doi.org/10.1007/978-3-030-94360-8
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Introduction
1. General Facts About Groups
2. Representations of Finite Groups
3. Representations of Compact Groups
4. Lie Groups and Lie Algebras
5. Lie Groups SU(2) and SO(3)
6. Representations of SU(2) and SO(3)
7. Spherical Harmonics
8. Representations of SU(3) and Quarks
9. Spin Groups and Spinors
Problems and Solutions
Endnote
Bibliography.-Index
Introduction
1. General Facts About Groups
2. Representations of Finite Groups
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by Asao Arai
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2022
シリーズ名: SpringerBriefs in Mathematical Physics ; 46
オンライン: https://doi.org/10.1007/978-981-19-5678-2
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1. Boson Fock Space and Bose Field
2. Fermion Fock Space and Fermi Field
3. Boson-Fermion Fock Space and Supersymmetric Quantum Fields
4. Applications to Models in Supersymmetric Quantum Field Theory
1. Boson Fock Space and Bose Field
2. Fermion Fock Space and Fermi Field
3. Boson-Fermion Fock Space and Supersymmetric Quantum Fields
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by Arnout Ceulemans
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-3-031-09528-3
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Part I: BOSONS AND FERMIONS
The Impossible Theorem
Bosons and Fermions
Boson-Fermion Interactions
PART II: DYNAMIC SYMMETRIES
The Rabi Hamiltonian
The E x e Orbital Doublet
The Spin Quartet Γ 8 x (e + t2) System and the Symplectic Group Sp(4)
Ansatz for the Jahn-Teller Triplet Instability
The Icosahedral Quartet and SO(9) SO(4) Symmetry Breaking
SO(14) SO(5) Symmetry Breaking and the Jahn-Teller Quintet Instability
Jahn's and Teller's Last Case: the Spinor Sextet
PART III: TOPOGRAPHY
Conical Intersections and Quantum Fields
Topography and Chemical Reactivity
Epilogue
APPENDICES
Appendix A The Displaced Oscillator
Appendix B Derivation of the Coupling Coefficients
Appendix C SU(n), SO(n), Sp(2n) Lie Algebras
Appendix D The Birkhoff Transformation
Appendix E Dirac's Monopole
Appendix F Yang's Monopole
Appendix G Topological Graph Theory
Part I: BOSONS AND FERMIONS
The Impossible Theorem
Bosons and Fermions
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by Nima Moshayedi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Lecture Notes in Mathematics ; 2311
オンライン: https://doi.org/10.1007/978-3-031-05122-7
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