Geometric Methods in Physics: XXXIV Workshop, Bialowieża, Poland, June 28 - July 4, 2015

ISBN-13: 9783319317557 / Angielski / Twarda / 2016 / 396 str.

Piotr Kielanowski; S. Twareque Ali; Pierre Bieliavsky

Opis

This book features a selection of articles based on the XXXIV Bia owie a Workshop on Geometric Methods in Physics, 2015. The articles presented are mathematically rigorous, include important physical implications and address the application of geometry in classical and quantum physics. Special attention deserves the session devoted to discussions of Gerard Emch's most important and lasting achievements in mathematical physics. The Bia owie a workshops are among the most important meetings in the field and gather participants from mathematics and physics alike. Despite their long tradition, the Workshops remain at the cutting edge of ongoing research. For the past several years, the Bia owie a Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented. The unique atmosphere of the Workshop and School is enhanced by the venue, framed by the natural beauty of the Bia owie a forest in eastern Poland."

Spis treści

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).

Blurb

This book features a selection of articles based on the XXXIV Białowieża Workshop on Geometric Methods in Physics, 2015. The articles presented are mathematically rigorous, include important physical implications and address the application of geometry in classical and quantum physics. Special attention deserves the session devoted to discussions of Gerard Emch's most important and lasting achievements in mathematical physics.

The Białowieża workshops are among the most important meetings in the field and gather participants from mathematics and physics alike. Despite their long tradition, the Workshops remain at the cutting edge of ongoing research. For the past several years, the Białowieża Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented. The unique atmosphere of the Workshop and School is enhanced by the venue, framed by the natural beauty of the Białowieża forest in eastern Poland.