dorsal/arxiv
View SchemaPeriodic systems in time: double-well potential
| Authors | Sergei P. Maydanyuk |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410010 |
| URL | https://arxiv.org/abs/nucl-th/0410010 |
Abstract
Time analysis of oscillations of a particle between wells in the one-dimensional double-well potential with infinite high outside walls, based on wave packet use and energy spectrum analysis, is presented. For the double-well potential of the form $x^{2}+1/x^{2}$ in the external regions, an exact analytical solution of the energy spectrum is found (by standard QM approach), an analysis of oscillation periodicity is fulfilled, an approach for exact analitical calculation of the oscillation period is proposed (for the first time for the double-well potential).
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"date_created": "2026-03-02T18:00:00.603000Z",
"date_modified": "2026-03-02T18:00:00.603000Z",
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"abstract": "Time analysis of oscillations of a particle between wells in the\none-dimensional double-well potential with infinite high outside walls, based\non wave packet use and energy spectrum analysis, is presented. For the\ndouble-well potential of the form $x^{2}+1/x^{2}$ in the external regions, an\nexact analytical solution of the energy spectrum is found (by standard QM\napproach), an analysis of oscillation periodicity is fulfilled, an approach for\nexact analitical calculation of the oscillation period is proposed (for the\nfirst time for the double-well potential).",
"arxiv_id": "nucl-th/0410010",
"authors": [
"Sergei P. Maydanyuk"
],
"categories": [
"nucl-th",
"quant-ph"
],
"title": "Periodic systems in time: double-well potential",
"url": "https://arxiv.org/abs/nucl-th/0410010"
},
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