dorsal/arxiv
View SchemaAnalysis of nonperturbative fluctuations in a triple-well potential
| Authors | J. Casahorran |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103010 |
| URL | https://arxiv.org/abs/quant-ph/0103010 |
| DOI | 10.1016/S0375-9601(01)00265-1 |
| Journal | Phys.Lett. A283 (2001) 285-290 |
Abstract
We consider the quantum tunneling phenomenon in a well-behaved triple-well potential. As required by the semiclassical approximation we take into account the quadratic fluctuations over the instanton which represents as usual the localised finite-action solution of the euclidean equation of motion. The determinants of the quadratic differential operators at issue are evaluated by means of the Gelfang-Yaglom method. In doing so the explicit computation of the conventional ratio of determinants takes as reference the harmonic oscillator whose frequency is the average of the individual frequencies derived from the non-equivalent minima of the potential. Eventually the physical effects of the multi-instanton configurations are included in this approach. As a matter of fact we obtain information about the energies of the ground-state and the two first excited levels of the discrete spectrum at issue.
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"abstract": "We consider the quantum tunneling phenomenon in a well-behaved triple-well\npotential. As required by the semiclassical approximation we take into account\nthe quadratic fluctuations over the instanton which represents as usual the\nlocalised finite-action solution of the euclidean equation of motion. The\ndeterminants of the quadratic differential operators at issue are evaluated by\nmeans of the Gelfang-Yaglom method. In doing so the explicit computation of the\nconventional ratio of determinants takes as reference the harmonic oscillator\nwhose frequency is the average of the individual frequencies derived from the\nnon-equivalent minima of the potential. Eventually the physical effects of the\nmulti-instanton configurations are included in this approach. As a matter of\nfact we obtain information about the energies of the ground-state and the two\nfirst excited levels of the discrete spectrum at issue.",
"arxiv_id": "quant-ph/0103010",
"authors": [
"J. Casahorran"
],
"categories": [
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"doi": "10.1016/S0375-9601(01)00265-1",
"journal_ref": "Phys.Lett. A283 (2001) 285-290",
"title": "Analysis of nonperturbative fluctuations in a triple-well potential",
"url": "https://arxiv.org/abs/quant-ph/0103010"
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