Symmetries of the Free Schrödinger Equation

被引:0
作者
G. A. Kotel'nikov
机构
[1] “Kurchatov Institute”,Russian Research Center
来源
Journal of Russian Laser Research | 2002年 / 23卷
关键词
electromagnetic waves symmetries; Schrödinger equation; Lorentz invariance; symmetries;
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中图分类号
学科分类号
摘要
An algorithm is proposed for studying the symmetry properties of equations used in theoretical and mathematical physics. The application of this algorithm to the free Schrödinger equation permits one to establish that, in addition to the known Galilei symmetry, the free Schrödinger equation possesses also relativistic symmetry in some generalized sense. This property of the free Schrödinger equation provides an extension of the equation into the relativistic domain of the free particle motion under study.
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页码:565 / 579
页数:14
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