| Hardcover ISBN: | 978-0-8218-4040-5 |
| Product Code: | TRANS2/216 |
| List Price: | $175.00 |
| MAA Member Price: | $157.50 |
| AMS Member Price: | $140.00 |
| eBook ISBN: | 978-1-4704-3427-4 |
| Product Code: | TRANS2/216.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| Hardcover ISBN: | 978-0-8218-4040-5 |
| eBook: ISBN: | 978-1-4704-3427-4 |
| 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: | 978-0-8218-4040-5 |
| Product Code: | TRANS2/216 |
| List Price: | $175.00 |
| MAA Member Price: | $157.50 |
| AMS Member Price: | $140.00 |
| eBook ISBN: | 978-1-4704-3427-4 |
| Product Code: | TRANS2/216.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| Hardcover ISBN: | 978-0-8218-4040-5 |
| eBook ISBN: | 978-1-4704-3427-4 |
| 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 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) 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
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
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) 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
