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

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

2000-05-06

arxiv.org/abs/quant-ph/0005027v1

Theor.Math.Phys. 124 (2000) 1059-1067; Teor.Mat.Fiz. 124 (2000) 239-248

Physics

Quantum Physics

10 pages

Scientific paper

10.1007/BF02551077

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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