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Teoreticheskaya i Matematicheskaya Fizika, 1976, Volume 26, Number 3, Pages 414–418 (Mi tmf3241)  

This article is cited in 8 scientific papers (total in 8 papers)

Derivation of the Schrödinger equation from scale invariance

V. Ya. Kreinovich
Full-text PDF (537 kB) Citations (8)
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
English version:
Theoretical and Mathematical Physics, 1976, Volume 26, Issue 3, Pages 282–285
DOI: https://doi.org/10.1007/BF01032102
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Kre76}
\by V.~Ya.~Kreinovich
\paper Derivation of the Schr\"odinger equation from scale invariance
\jour TMF
\yr 1976
\vol 26
\issue 3
\pages 414--418
\mathnet{http://mi.mathnet.ru/tmf3241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=449261}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 26
\issue 3
\pages 282--285
\crossref{https://doi.org/10.1007/BF01032102}
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  • https://www.mathnet.ru/eng/tmf3241
  • https://www.mathnet.ru/eng/tmf/v26/i3/p414
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :354
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