p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency
Quantum Physics
2009-11-06 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.quant-ph/0005027,
title = {p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency},
author = {Goran S. Djordjevic and Branko Dragovich},
journal= {arXiv preprint arXiv:quant-ph/0005027},
year = {2009}
}
Comments
10 pages