Banach Lie-Poisson Spaces and Reduction

被引：0
|
作者：
Anatol Odzijewicz
Tudor S. Ratiu
机构：
[1] University of Bialystok,Institute of Physics
[2] Centre Bernoulli,undefined
[3] École Polytechnique Fédérale de Lausanne,undefined
来源：
Communications in Mathematical Physics | 2003年 / 243卷
关键词：
Hamiltonian System; Quantum Reduction;
D O I：
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学科分类号：
摘要：
The category of Banach Lie-Poisson spaces is introduced and studied. It is shown that the category of W*-algebras can be considered as one of its subcategories. Examples and applications of Banach Lie-Poisson spaces to quantization and integration of Hamiltonian systems are given. The relationship between classical and quantum reduction is discussed.
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页码：1 / 54
页数：53
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