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1. Cycle Spaces of Flag Domains : A Complex Geometric Viewpoint
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. Groups and Symmetries : From Finite Groups to Lie Groups. First
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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3. Arithmetic and Geometry Around Quantization
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. Symplectic Geometric Algorithms for Hamiltonian Systems
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. A Modern Approach to Functional Integration. 1
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. Reflections on Quanta, Symmetries, and Supersymmetries
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. An Introduction to Tensors and Group Theory for Physicists. 1
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. Mathematical Concepts of Quantum Mechanics
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. Self-adjoint Extensions in Quantum Mechanics : General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials
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. David Hilbert's Lectures on the Foundations of Physics 1915-1927 : Relativity, Quantum Theory and Epistemology
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. Modèles aléatoires et physique probabiliste
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. The Scientific Correspondence of H. A. Lorentz : Volume I
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. Introduction to Quantum Groups
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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14. Representing Finite Groups : A Semisimple Introduction
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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15. Quantum Theory for Mathematicians
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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16. Time : Poincaré Seminar 2010
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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目次情報: 続きを見る
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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17. Prokhorov and Contemporary Probability Theory : In Honor of Yuri V. Prokhorov
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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目次情報: 続きを見る
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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18. Principal Bundles : The Quantum Case
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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19. Virtual Turning Points
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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目次情報: 続きを見る
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
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20. Hiérarchie de modèles en optique quantique : De Maxwell-Bloch à Schrödinger non-linéaire
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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21. Symplectic Geometry and Quantum Mechanics
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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22. Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
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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23. From Geometry to Quantum Mechanics : In Honor of Hideki Omori
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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24. Selfdual Gauge Field Vortices : An Analytical Approach
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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25. Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces
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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26. Pseudo-Differential Operators : Quantization and Signals
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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27. Quantum Transport : Modelling, Analysis and Asymptotics — Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 11–16, 2006
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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28. Enumerative Invariants in Algebraic Geometry and String Theory : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 6–11, 2005
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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29. Quantum Lie Theory : A Multilinear Approach. 1st ed. 2015
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