Quantum Algebras and Poisson Geometry in Mathematical Physics

Author:   M.V. Karasev
Publisher:   American Mathematical Society
Volume:   No. 216
ISBN:  

9780821840405


Pages:   277
Publication Date:   01 December 2005
Format:   Hardback
Availability:   To order   Availability explained
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Quantum Algebras and Poisson Geometry in Mathematical Physics


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Overview

This collection presents new and interesting applications of Poisson geometry to some fundamental well-known problems in mathematical physics. In addition to advanced Poisson geometry, the methods used by the authors include unexpected algebras with non-Lie commutation relations, nontrivial (quantum) Kahlerian structures of hypergeometric type, dynamical systems theory, semiclassical asymptotics, and more. The volume is suitable for graduate students and researchers interested in mathematical physics. Other AMS publications by M. Karasev include """"Nonlinear Poisson Brackets""""; """"Geometry and Quantization"""", """"Coherent Transform, Quantization, and Poisson Geometry"""", and """"Asymptotic Methods for Wave and Quantum Problems"""".

Full Product Details

Author:   M.V. Karasev
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 216
Weight:   0.737kg
ISBN:  

9780821840405


ISBN 10:   0821840401
Pages:   277
Publication Date:   01 December 2005
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances by M. Karasev Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields by M. Karasev and E. Novikova Poisson structures and linear Euler systems over symplectic manifolds by Y. Vorobjev Poisson equivalence over a symplectic leaf by Y. Vorobjev.

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