Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation
Transient phenomena in quantum mechanics have been of interest to one of the authors (MM) for a long ago and, 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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2005 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209357 |
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| Cite this: | Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation / M. Moshinsky, E. Sadurní // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 5 назв. — англ. |
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Moshinsky, M. Sadurní, E. 2025-11-19T12:31:40Z 2005 Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation / M. Moshinsky, E. Sadurní // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 5 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81V35; 81Q05 https://nasplib.isofts.kiev.ua/handle/123456789/209357 https://doi.org/10.3842/SIGMA.2005.003 Transient phenomena in quantum mechanics have been of interest to one of the authors (MM) for a long ago and, 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 Feynman 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 to 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation |
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Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation Moshinsky, M. Sadurní, E. |
| title_short |
Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation |
| title_full |
Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation |
| title_fullStr |
Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation |
| title_full_unstemmed |
Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation |
| title_sort |
transient phenomena in quantum bound states subjected to a sudden perturbation |
| author |
Moshinsky, M. Sadurní, E. |
| author_facet |
Moshinsky, M. Sadurní, E. |
| publishDate |
2005 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Transient phenomena in quantum mechanics have been of interest to one of the authors (MM) for a long ago and, 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 Feynman 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 to 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/209357 |
| citation_txt |
Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation / M. Moshinsky, E. Sadurní // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 5 назв. — англ. |
| work_keys_str_mv |
AT moshinskym transientphenomenainquantumboundstatessubjectedtoasuddenperturbation AT sadurnie transientphenomenainquantumboundstatessubjectedtoasuddenperturbation |
| first_indexed |
2025-11-26T05:35:49Z |
| last_indexed |
2025-11-26T05:35:49Z |
| _version_ |
1850885960249638912 |