QUANTIZATION OF A HAMILTONIAN SYSTEM WITH AN INFINITE NUMBER OF DEGREES OF FREEDOM

被引：0
|
作者：
ZHIDKOV, PE
机构：
[1] Bogoliubov Theoretical Laboratory, Joint Institute for Nuclear Research, Dubna, 141980, Moscow Region
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1995年 / 33卷 / 04期
关键词：
Mathematics Subject Classifications (1991): 81S99; 81T25;
D O I：
10.1007/BF00749684
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a method of quantization of a discrete Hamiltonian system with an infinite number of degrees of freedom. Our approach is analogous to the usual finite-dimensional quantum mechanics. We construct an infinite-dimensional Schrodinger equation. We show that it is possible to pass from the finite-dimensional quantum mechanics to our construction in the limit when the number of particles tends to infinity. Rigorous mathematical methods are used.
引用
收藏
页码：303 / 312
页数：10
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