dorsal/arxiv
View SchemaSymmetries of the free Schrodinger Equation
| Authors | G. A. Kotel'nikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9612049 |
| URL | https://arxiv.org/abs/quant-ph/9612049 |
| Journal | Journal of Russian Laser Research, 23 (2002) 565-579 |
Abstract
An algorithm is proposed for research into the symmetrical properties of theoretical and mathematical physics equations. The application of this algorithm to the free Schrodinger equation permited us to establish that in addition to the known Galilei symmetry, the free Schrodinger equation possesses also the relativistic symmetry in some generalized sense. This property of the free Schrodinger equation permits the equation to be extended into the relativistic area of movements of a particle being studied.
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"abstract": "An algorithm is proposed for research into the symmetrical properties of\ntheoretical and mathematical physics equations. The application of this\nalgorithm to the free Schrodinger equation permited us to establish that in\naddition to the known Galilei symmetry, the free Schrodinger equation possesses\nalso the relativistic symmetry in some generalized sense. This property of the\nfree Schrodinger equation permits the equation to be extended into the\nrelativistic area of movements of a particle being studied.",
"arxiv_id": "quant-ph/9612049",
"authors": [
"G. A. Kotel\u0027nikov"
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"journal_ref": "Journal of Russian Laser Research, 23 (2002) 565-579",
"title": "Symmetries of the free Schrodinger Equation",
"url": "https://arxiv.org/abs/quant-ph/9612049"
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