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＜電子ブック＞
Geometric Methods in Physics : XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014 / edited by Piotr Kielanowski, Pierre Bieliavsky, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov
(Trends in Mathematics. ISSN:2297024X)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2015
本文言語	英語
大きさ	IX, 326 p. 11 illus., 1 illus. in color : online resource
著者標目	Kielanowski, Piotr editor Bieliavsky, Pierre editor Odzijewicz, Anatol editor Schlichenmaier, Martin editor Voronov, Theodore editor SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Quantum computers FREE:Group Theory and Generalizations FREE:Global Analysis and Analysis on Manifolds FREE:Quantum Computing
一般注記	Preface -- Part I: Higher Structures and Non-commutative Geometry -- S. Azzali, C. Lévy, C. Neira-Jiménez and S. Paycha: Traces of Holomorphic Families of Operators on the Noncommutative Torus and on Hilbert Modules -- D. Bashkirov and A. Voronov: r∞- Matrices, Triangular L∞- Bialgebras, and Quantum∞ Groups -- R. Fernandes: Normal Forms and Lie Groupoid Theory -- M. Markl: Higher Braces via Formal (Non)commutative Geometry -- A. Sitarz: Conformally Rescaled Noncommutative Geometries -- Part II: Quantm Mechanics and Field Theory -- S. Twareque Ali: On Some Quaternionic Coherent States and Wavelets -- I. Aremua, E. Baloïtcha and M. N. Hounkonnou: Supersymmetric Vector Coherent States for Systems with Zeeman Coupling and Spin-orbit Interactions -- D.S. Kaparulin and S.L. Lyakhovich: Energy and Stability of Pais-Uhlenbeck Oscillator -- Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki and Hiroshi Umetsu: Deformation Quantization with Separation of Variables and Gauge Theories -- Ali Mostafazadeh: Physics of Spectral Singularities -- Armen Sergeev: On the Moduli Space of Yang-Mills Fields on ℝ^4 -- A. A. Sharapov: On Covariant Poisson Brackets in Field Theory -- Part III: Groups and Algebras -- G. Chadzitaskos, L. Háková and O. Kajínek: Weyl Group Orbit Functions in Image Processing -- V.F. Molchanov: Poisson and Fourier Transforms for Tensor Products and an Overalgebra -- N. Moshchevitin: Unipotent Flow on SL2(ℤ)\SL2(ℝ): from Dynamics to Elementary Number Theory -- Martin Schlichenmaier: Lie Superalgebras of Krichever-Novikov Type -- E.G. Vishnyakova: On n-ary Lie algebras of type (r; l) -- Part IV: Integrable Systems and Special Functions -- A. Dobrogowska and G. Jakimowicz: The class of (q; h) –Hahn Orthogonal Polynomials -- A. Dobrogowska and T. Goliński: Examples of Hamiltonian Systems on theSpace of Deformed Skew-symmetric Matrices -- Y. A. Neretin: Matrix Beta-integrals: an Overview -- A. Savin and B. Sternin: Differential Equations on Complex Manifolds -- E. Schmeidel, J. Zonenberg and B. Łupińska: Asymptotic Properties of Solutions of Neutral Type Difference System with Delays -- E. Shemyakova: Orbits of Darboux Groupoid for Hyperbolic Operators of Order Three -- Part V: Special Economic Session -- B. Mielnik: From Nicolaus Copernicus Economical Law up to the Present Day Economic Disasters -- Ł. Hardt: Economics – Physics of Social Sciences or Art? This book presents a selection of papers based on the XXXIII Białowieża Workshop on Geometric Methods in Physics, 2014. The Białowieża Workshops are among the most important meetings in the field and attract researchers from both mathematics and physics. The articles gathered here are mathematically rigorous and have important physical implications, addressing the application of geometry in classical and quantum physics. Despite their long tradition, the workshops remain at the cutting edge of ongoing research. For the last several years, each Białowieża Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented; some of the lectures are reproduced here. The unique atmosphere of the workshop and school is enhanced by its venue, framed by the natural beauty of the Białowieża forest in eastern Poland. The volume will be of interest to researchers and graduate students in mathematical physics, theoretical physics and mathematmtics HTTP:URL=https://doi.org/10.1007/978-3-319-18212-4

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