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Geometric Methods in Physics

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This book features a selection of articles based on the XXXIV Biaowiea Workshop on Geometric Methods in Physics, 2015. The article... Weiterlesen
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This book features a selection of articles based on the XXXIV Biaowiea 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 Biaowiea 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 Biaowiea 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 Biaowiea forest in eastern Poland.


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 Belti and Daniel Belti: 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 '-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 Pawe M. Wójcicki: Ramadanov theorem for weighted Bergman kernels on complex manifolds.- Zbigniew Pasternak-Winiarski and Pawe M. Wójcicki: A characterization of domains of holomorphy by means of their weighted Skwarczyski distance.- Special Talk by Bogdan Mielnik: Science and its Constraints (an unfinished story).


Titel: Geometric Methods in Physics
Untertitel: XXXIV Workshop, Biaowiea, Poland, June 28 July 4, 2015
EAN: 9783319317564
ISBN: 978-3-319-31756-4
Digitaler Kopierschutz: Wasserzeichen
Format: E-Book (pdf)
Herausgeber: Birkhäuser
Genre: Grundlagen
Anzahl Seiten: 396
Veröffentlichung: 28.07.2016
Jahr: 2016
Untertitel: Englisch
Dateigrösse: 5.3 MB

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