Hamilton's principle and Schrodinger's equation derived from Gauss' principle of least squares

被引：4

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 / 01期

关键词：

Gauss' principle of least squares; Hamilton's principle; Schrodinger equation; non-linear equations; linearization;

D O I：

10.1023/A:1007773720600

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the Hamilton's principle in classical mechanics and the Schrodinger equation in quantum mechanics can both be derived from an application of Gauss' principle of least squares.

引用

页码：79 / 87

页数：9

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