Hardcover ISBN:  9780821840405 
Product Code:  TRANS2/216 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470434274 
Product Code:  TRANS2/216.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821840405 
eBook: ISBN:  9781470434274 
Product Code:  TRANS2/216.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 
Hardcover ISBN:  9780821840405 
Product Code:  TRANS2/216 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470434274 
Product Code:  TRANS2/216.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821840405 
eBook ISBN:  9781470434274 
Product Code:  TRANS2/216.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 216; 2005; 277 ppMSC: Primary 53; 81; Secondary 33
This collection presents new and interesting applications of Poisson geometry to some fundamental wellknown problems in mathematical physics. In addition to advanced Poisson geometry, the methods used by the authors include unexpected algebras with nonLie commutation relations, nontrivial (quantum) Kählerian 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 .
ReadershipGraduate students and research mathematicians interested in mathematical physics.

Table of Contents

Chapters

Mikhail Karasev — Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances

Mikhail Karasev and Elena Novikova — Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields

Yurii Vorobjev — Poisson structures and linear Euler systems over symplectic manifolds

Yurii Vorobjev — Poisson equivalence over a symplectic leaf


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This collection presents new and interesting applications of Poisson geometry to some fundamental wellknown problems in mathematical physics. In addition to advanced Poisson geometry, the methods used by the authors include unexpected algebras with nonLie commutation relations, nontrivial (quantum) Kählerian 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 .
Graduate students and research mathematicians interested in mathematical physics.

Chapters

Mikhail Karasev — Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances

Mikhail Karasev and Elena Novikova — Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields

Yurii Vorobjev — Poisson structures and linear Euler systems over symplectic manifolds

Yurii Vorobjev — Poisson equivalence over a symplectic leaf