Fundamental equations of quantum mechanics in time-varying domain

被引：3

作者：

Gaffour, Lakhdar ^{[1
,2
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Sidi Bel Abbes, Algeria

[2] ENSP, LSIIT, Strasbourg, France

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2008年 / 47卷 / 04期

关键词：

wave equation; wave function; quantum mechanics; time-varying boundary value problems; time-varying domains;

D O I：

10.1007/s10773-007-9510-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fundamental equations of quantum mechanics in time-varying domain are presented. The used method consists in transforming the variable domain into a fixed domain. The transformation has to be covariant in relation to the wavefunction. The new fundamental equations turn out to be a generalization of the classical equations established in a Newtonian space-time. When the time-varying domain becomes stationary, we find again the fundamental equations of the classical quantum mechanics.

引用

页码：859 / 864

页数：6

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