dorsal/arxiv
View SchemaTransient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation
| Authors | Marcos Moshinsky, Emerson Sadurní |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511212 |
| URL | https://arxiv.org/abs/quant-ph/0511212 |
| DOI | 10.3842/SIGMA.2005.003 |
| Journal | SIGMA 1 (2005), 003, 9 pages |
Abstract
Transient phenomena in quantum mechanics have been of interest to one of the authors (MM) since long ago and, in this paper, we focus on the problem of a potential V_- which for negative times gives rise to bound states and is suddenly changed at t=0 to a potential V_+ which includes V_- plus a perturbed term. An example will be the deuteron (where the proton and neutron are assumed to interact through an oscillator potential) submitted to a sudden electrostatic field. The analysis for t>0 can be carried out with the help of appropriate Feynmann propagators and we arrive at the result that the separation between the nucleons has an amplitude that depends on the intensity of the electrostatic field, but its period continues to be related with the inverse of the frequency of the oscillator proposed for the interaction. A general approximate procedure for arbitrary problems of this type is also presented at the end.
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"abstract": "Transient phenomena in quantum mechanics have been of interest to one of the\nauthors (MM) since long ago and, in this paper, we focus on the problem of a\npotential V_- which for negative times gives rise to bound states and is\nsuddenly changed at t=0 to a potential V_+ which includes V_- plus a perturbed\nterm. An example will be the deuteron (where the proton and neutron are assumed\nto interact through an oscillator potential) submitted to a sudden\nelectrostatic field. The analysis for t\u003e0 can be carried out with the help of\nappropriate Feynmann propagators and we arrive at the result that the\nseparation between the nucleons has an amplitude that depends on the intensity\nof the electrostatic field, but its period continues to be related with the\ninverse of the frequency of the oscillator proposed for the interaction. A\ngeneral approximate procedure for arbitrary problems of this type is also\npresented at the end.",
"arxiv_id": "quant-ph/0511212",
"authors": [
"Marcos Moshinsky",
"Emerson Sadurn\u00ed"
],
"categories": [
"quant-ph"
],
"doi": "10.3842/SIGMA.2005.003",
"journal_ref": "SIGMA 1 (2005), 003, 9 pages",
"title": "Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation",
"url": "https://arxiv.org/abs/quant-ph/0511212"
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