Klein-Gordon and Schrodinger equations for a free particle in the rest frame

被引：1

作者：

Salomatov, V. N. ^{[1
]}

机构：

[1] Irkutsk State Transport Univ, 15 Tchernyshevsky St, Irkutsk 664074, Russia

来源：

PHYSICS ESSAYS | 2020年 / 33卷 / 01期

关键词：

Relativistic Particle; Helmholtz Equation; Principle of Correspondence; Discreteness of the Rest Mass Spectrum; NONRELATIVISTIC LIMIT; DIRAC;

D O I：

10.4006/0836-1398-33.1.10

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A system of two equations is found that has solutions which coincide with the solutions of the Klein-Gordon equation in the rest frame. This system includes the Schrodinger equation for a free neutral spinless particle. Using the Schrodinger equation as an additional condition for solving the Klein-Gordon equation in the rest frame leads to two Helmholtz equations. Helmholtz equations can be solved by specifying a particle model and boundary conditions. One of the Helmholtz equations leads to discreteness of the rest masses of relativistic particles. (C) 2019 Physics Essays Publication.

引用

页码：10 / 12

页数：3