Authors: Đorđević, Goran
Dragović, Branko 
Title: p-ADIC and adelic harmonic oscillator with a time-dependent frequency
Journal: Theoretical and Mathematical Physics
Volume: 124
Issue: 2
First page: 1059
Last page: 1067
Issue Date: 1-Jan-2000
Rank: M23
ISSN: 0040-5779
DOI: 10.1007/BF02551077
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.
Publisher: Springer

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