Geometric Methods in Physics (eBook)

Preface.- Part I:Quantum Structures: Gérard Emch in memoriam.- S. Twareque Ali.- Antoinette Emch: The Gérard I knew for 60 years!.- F. Bagarello: Pseudo-bosons and Riesz bi-coherent states.- Ichiro Fujimoto: Entropy of completely positive maps and applications to quantum information theory.- Gerald A. Goldin: Some comments on indistinguishable particles and interpretation of the quantum mechanical wave function.- Geoffrey L. Sewell: Hyperbolic Flows and the Question of Quantum Chaos.- Arup Chattopadhyay and Kalyan B. Sinha: A New Proof of the Helton-Howe-Carey-Pincus Trace Formula.- Akira Yoshioka: Quasi-Classical Calculation of Eigenvalues – Examples and a Question.- Part II:Representation Theory and Harmonic Analysis.- Alexander Alldridge: Supergroup actions and harmonic analysis.- Ingrid Beltiţă and Daniel Beltiţă: Representations of nilpotent Lie groups via measurable dynamical systems.- Guillaume Dhont and Boris I. Zhilinskií: Symbolic interpretation of the Molien function: free and non-free modules of covariants.- Bas Janssens: Momentum Maps for Smooth Projective Unitary Representations.- Vladimir F. Molchanov: Canonical representations for hyperboloids: an interaction with an overalgebra.- Yury A. Neretin: On p-adic colligations and `rational maps' of  Bruhat-Tits trees.- J. Hilgert, A. Pasquale and T. Przebinda: Resonances for the Laplacian: the cases BC2 and C2 (except SO0(p,2) with p>2 odd).- Tomasz Przebinda: Howe's Correspondence and Characters.- Part III:Quantum Mechanics and Integrable Systems.- A. V. Domrin: Local inverse scattering.- David J. Fernández C.: Painlevé equations and supersymmetric quantum mechanics.- Toshihiro Iwai and Boris I. Zhilinskií: Change in energy eigenvalues against parameters.- Hirosuke Kuwabara and Tsukasa Yumibayashi: Time dependent Pais-Uhlenbeck oscillator and its decomposition.- Tatsuya Tate: Quantum walks in low dimension.- Part IV:Algebraic Structures.- Mahouton Norbert Hounkonnou and Mafya Landry Dassoundo: Center-symmetric algebras  and bialgebras: relevant properties and  consequences.- Martin Schlichenmaier: N-point Virasoro algebras considered as Krichever-Novikov type algebras.- Part V:Field Theory and Quantization.- Andreas Deser: Star products on graded manifolds and α'-corrections to double field theory.- Armen Sergeev: Adiabatic limit in Ginzburg-Landau and Seiberg-Witten equations.- A. A. Sharapov: Variational tricomplex and BRST theory.- Siye Wu: Quantisation of Hitchin's moduli space of a non-orientable surface.- Part VI:Complex Geometry.- Zbigniew Pasternak-Winiarski and Paweł M. Wójcicki: Ramadanov theorem for weighted Bergman kernels on complex manifolds.- Zbigniew Pasternak-Winiarski and Paweł M. Wójcicki: A characterization of domains of holomorphy by means of their weighted Skwarczyński distance.- Special Talk by Bogdan Mielnik: Science and its Constraints (an unfinished story).