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p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency

Goran S. Djordjevic·Branko Dragovich
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Abstract

The classical and quantum formalism for a p-adic and adelic harmonic oscillator with time-dependent frequency is developed, and general formulae for main theoretical quantities are obtained. In particular, the p-adic propagator is calculated, and the existence of a simple vacuum state as well as adelic quantum dynamics is shown. Space discreteness and p-adic quantum-mechanical phase are noted.

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Goran S. Djordjevic, Branko Dragovich. 2000-05-06. p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency. https://doi.org/10.1007/bf02551077

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