dorsal/arxiv
View Schemap-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency
| Authors | Goran S. Djordjevic, Branko Dragovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005027 |
| URL | https://arxiv.org/abs/quant-ph/0005027 |
| DOI | 10.1007/BF02551077 |
| Journal | Theor.Math.Phys. 124 (2000) 1059-1067; Teor.Mat.Fiz. 124 (2000) 239-248 |
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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"abstract": "The classical and quantum formalism for a p-adic and adelic harmonic\noscillator with time-dependent frequency is developed, and general formulae for\nmain theoretical quantities are obtained. In particular, the p-adic propagator\nis calculated, and the existence of a simple vacuum state as well as adelic\nquantum dynamics is shown. Space discreteness and p-adic quantum-mechanical\nphase are noted.",
"arxiv_id": "quant-ph/0005027",
"authors": [
"Goran S. Djordjevic",
"Branko Dragovich"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1007/BF02551077",
"journal_ref": "Theor.Math.Phys. 124 (2000) 1059-1067; Teor.Mat.Fiz. 124 (2000)\n 239-248",
"title": "p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency",
"url": "https://arxiv.org/abs/quant-ph/0005027"
},
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