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

页码：303 / 312

页数：10

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