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Quantum Algebras and Poisson Geometry in Mathematical Physics

About this Title

M. V. Karasev, Moscow Institute of Electronics and Mathematics, Moscow, Russia, Editor. Translated by Maria Shishkova

Publication: American Mathematical Society Translations: Series 2
Publication Year: 2005; Volume 216
ISBNs: 978-0-8218-4040-5 (print); 978-1-4704-3427-4 (online)
DOI: https://doi.org/10.1090/trans2/216
MathSciNet review: MR2169279
MSC: Primary 00B50; Secondary 53D17, 81-06

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Table of Contents

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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