A possible generalization of the Schrodinger equation based on the Gauss principle of least squares

被引：0

作者：

Yan, CC ^{[1
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Fis, Rio De Janeiro, Brazil

来源：

FOUNDATIONS OF PHYSICS LETTERS | 2000年 / 13卷 / 04期

关键词：

Gauss' principle; Schrodinger's equation; non-linear equation; Fermi-Dirac statistics; non-deforming wave packet;

D O I：

10.1023/A:1007823728164

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The linear Schrodinger equation is generalized into non-linear equation based on the Gauss' principle of least squares. The weight function is assigned in such a way that it might be interpreted as occupation number density of hidden particles that obey the Fermi-Dirac stastistics. It is shown that the motion of a free particle, according to the so generalized non-linear equation, is described by a well behaved nondeforming wave packet moving with a constant velocity, in contrast to the always deforming wave packet according to the linear Schrodinger equation.

引用

页码：369 / 378

页数：10

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