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.
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