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Teoreticheskaya i Matematicheskaya Fizika, 1976, Volume 26, Number 3, Pages 414–418
(Mi tmf3241)
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This article is cited in 8 scientific papers (total in 8 papers)
Derivation of the Schrödinger equation from scale invariance
V. Ya. Kreinovich
Abstract:
It is shown that ff one postulates an equation of nonrelativistic quantum mechanics in the form $\partial\psi/\partial t=f(V,\psi,\psi^*)$, where $V$ is the potential energy, and requires that this equation, like the action (of the usual form) be invariant under the group of transformations $\mathbf x\to\lambda\mathbf x$, $t\to\mu(\lambda)t$, and also imposes certain other weak restrictions, these conditions uniquely lead to the Schrödinger equation.
Received: 10.06.1975
Citation:
V. Ya. Kreinovich, “Derivation of the Schrödinger equation from scale invariance”, TMF, 26:3 (1976), 414–418; Theoret. and Math. Phys., 26:3 (1976), 282–285
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https://www.mathnet.ru/eng/tmf3241 https://www.mathnet.ru/eng/tmf/v26/i3/p414
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Abstract page: | 594 | Full-text PDF : | 354 | First page: | 1 |
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