p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency
Djordjevic, Goran S. ; Dragovich, Branko
arXiv, 0005027 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-05-06
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0005027,
     author = {Djordjevic, Goran S. and Dragovich, Branko},
     title = {p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0005027}
}

Djordjevic, Goran S.; Dragovich, Branko. p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0005027/