| 查看: 137 | 回复: 0 | ||
| 当前主题已经存档。 | ||
[资源]
Mathematical Topics between Classical and Quantum Mechanics
|
||
|
Mathematical Topics between Classical and Quantum Mechanics * Publisher: Springer * Number Of Pages: 556 * Publication Date: 1998-12-07 * Sales Rank: 1655372 * ISBN / ASIN: 038798318X * EAN: 9780387983189 * Binding: Hardcover * Manufacturer: Springer * Studio: Springer * Average Rating: * Total Reviews: Book Description: ) This monograph draws on two traditions: the algebraic formulation of quantum mechanics and quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability. The theory of quantization and the classical limit is discussed from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. The book should be accessible to mathematicians with some prior knowledge of classical and quantum mechanics, to mathematical physicists and to theoretical physicists who have some background in functional analysis. [ Last edited by cuplgz on 2007-5-3 at 14:12 ] |
回复此楼» 猜你喜欢
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有3人回复
-
E0414, 我的本子有没有希望？
已经有9人回复
-
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有3人回复
-
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有3人回复
-
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有3人回复
-
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有4人回复
-
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有3人回复
-
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有3人回复
-
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有4人回复
-
售T0P一区SCI文章，我:8O5.51.O.54,科目齐全,可＋急
已经有5人回复
