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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 2, Pages 239–248
DOI: https://doi.org/10.4213/tmf636 (Mi tmf636) 		 
This article is cited in 15 scientific papers (total in 15 papers)

$p$-Adic and adelic harmonic oscillator with a time-dependent frequency

G. S. Djordjeviča, B. G. Dragovichbc

a University of Niš
b Steklov Mathematical Institute, Russian Academy of Sciences
c University of Belgrade
Full-text PDF (227 kB) Citations (15)
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DOI: https://doi.org/10.4213/tmf636
Abstract: The classical and quantum formalism for a $p$-adic and adelic harmonic oscillator with a time-dependent frequency is developed, and general formulas are obtained for the main theoretical quantities. In particular, the $p$-adic propagator is calculated, and the existence of a simple vacuum state as well as adelic quantum dynamics is shown. A spatial discreteness and a $p$-adic quantum mechanical phase are noted.
Received: 24.09.1999
Revised: 20.01.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 2, Pages 1059–1067
DOI: https://doi.org/10.1007/BF02551077
Bibliographic databases:
Language: Russian
Citation: G. S. Djordjevič, B. G. Dragovich, “$p$-Adic and adelic harmonic oscillator with a time-dependent frequency”, TMF, 124:2 (2000), 239–248; Theoret. and Math. Phys., 124:2 (2000), 1059–1067
Citation in format AMSBIB
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\crossref{https://doi.org/10.1007/BF02551077}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:54
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