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Ali, S. Twareque

Geometric Methods in Physics

Ali, S. Twareque - Geometric Methods in Physics, ebook

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ISBN: 9783319317564
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Table of contents

Part I. Quantum Structures: Gérard Emch in memoriam

1. Gérard G. Emch
S. Twareque Ali

2. The Gérard I knew for Sixty Years!
Antoinette Emch-Dériaz

3. Pseudo-bosons and Riesz Bi-coherent States
F. Bagarello

4. Entropy of Completely Positive Maps and Applications to Quantum Information Theory
Ichiro Fujimoto

5. Some Comments on Indistinguishable Particles and Interpretation of the Quantum Mechanical Wave Function
Gerald A. Goldin

6. Hyperbolic Flows and the Question of Quantum Chaos
Geoffrey L. Sewell

7. A New Proof of the Helton–Howe–Carey–Pincus Trace Formula
Arup Chattopadhyay, Kalyan B. Sinha

8. Quasi-classical Calculation of Eigenvalues: Examples and Questions
Tomoyo Kanazawa, Akira Yoshioka

Part II. Representation Theory and Harmonic Analysis

9. Supergroup Actions and Harmonic Analysis
Alexander Alldridge

10. Representations of Nilpotent Lie Groups via Measurable Dynamical Systems
Ingrid Beltiţă, Daniel Beltiţă

11. Symbolic Interpretation of the Molien Function: Free and Non-free Modules of Covariants
Guillaume Dhont, Boris I. Zhilinskií

12. Momentum Maps for Smooth Projective Unitary Representations
Bas Janssens, Karl-Hermann Neeb

13. Canonical Representations for Hyperboloids: an Interaction with an Overalgebra
Vladimir F. Molchanov

14. On p-adic Colligations and ‘Rational Maps’ of Bruhat–Tits Trees
Yury A. Neretin

15. Resonances for the Laplacian: the Cases BC2 and C2 (except SO0(p, 2) with p > 2 odd)
J. Hilgert, A. Pasquale, T. Przebinda

16. Howe’s Correspondence and Characters
Tomasz Przebinda

Part III. Quantum Mechanics and Integrable Systems

17. Local Inverse Scattering
A. V. Domrin

18. Painlevé Equations and Supersymmetric Quantum mechanics
David J. Fernández C.

19. Change in Energy Eigenvalues Against Parameters
Toshihiro Iwai, Boris Zhilinskii

20. Time-dependent Pais–Uhlenbeck Oscillator and Its Decomposition
Hirosuke Kuwabara, Tsukasa Yumibayashi, Hiromitsu Harada

21. Quantum Walks in Low Dimension
Tatsuya Tate

Part IV. Algebraic Structures

22. Center-symmetric Algebras and Bialgebras: Relevant Properties and Consequences
Mahouton Norbert Hounkonnou, Mafoya Landry Dassoundo

23.
N-point Virasoro Algebras Considered as Krichever–Novikov Type Algebras
Martin Schlichenmaier

Part V. Field Theory and Quantization

24. Star Products on Graded Manifolds and α’-corrections to Double Field Theory
Andreas Deser

25. Adiabatic Limit in Ginzburg–Landau and Seiberg–Witten Equations
Armen Sergeev

26. Variational Tricomplex and BRST Theory
A. A. Sharapov

27. Quantization of Hitchin’s Moduli Space of a Non-orientable Surface
Siye Wu

Part VI. Complex Geometry

28. Ramadanov Theorem for Weighted Bergman Kernels on Complex Manifolds
Zbigniew Pasternak-Winiarski, Paweł M. Wójcicki

29. A Characterization of Domains of Holomorphy by Means of Their Weighted Skwarczyński Distance
Zbigniew Pasternak-Winiarski, Paweł M. Wójcicki

Part VII. Special Talk by Bogdan Mielnik

30. Science and its Constraints (an unfinished story)
Bogdan Mielnik

Keywords: Mathematics, Group Theory and Generalizations, Global Analysis and Analysis on Manifolds, Mathematical Methods in Physics

Editor
 
 
 
 
 
Publisher
Springer
Publication year
2016
Language
en
Edition
1
Series
Trends in Mathematics
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319317564
Printed ISBN
978-3-319-31755-7

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