Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products
The Commutation relation for the field creation and annihilation operators is shown to be preserved explicitly if the transient operators products are evaluated from the quantum Langevin equations that contain noise operators with non-vanishing expectation (mean) values. The well-known Einstein rela...
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2010
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my.um.eprints.79512019-10-09T07:24:40Z http://eprints.um.edu.my/7951/ Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products Ooi, Chong Heng Raymond Berman, P.R. QC Physics The Commutation relation for the field creation and annihilation operators is shown to be preserved explicitly if the transient operators products are evaluated from the quantum Langevin equations that contain noise operators with non-vanishing expectation (mean) values. The well-known Einstein relation, which is valid for the vanishing mean value, is inapplicable here. For a two-level atom initially in arbitrary state interacting with quantum vacuum radiation, detailed steps are provided that may be useful for calculations involving transient dynamics using the full quantum formalism, particularly in evaluating products involving the noise operators, the initial (time) field operator and initial atomic operators. The cross products of these operators contribute to the preservation of the commutation relation. (C) 2009 Elsevier B.V. All rights reserved. Elsevier 2010 Article PeerReviewed Ooi, Chong Heng Raymond and Berman, P.R. (2010) Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products. Physica E: Low-dimensional Systems and Nanostructures, 42 (3). pp. 407-410. ISSN 1386-9477 https://doi.org/10.1016/j.physe.2009.06.018 doi:10.1016/j.physe.2009.06.018 |
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QC Physics Ooi, Chong Heng Raymond Berman, P.R. Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products |
| description |
The Commutation relation for the field creation and annihilation operators is shown to be preserved explicitly if the transient operators products are evaluated from the quantum Langevin equations that contain noise operators with non-vanishing expectation (mean) values. The well-known Einstein relation, which is valid for the vanishing mean value, is inapplicable here. For a two-level atom initially in arbitrary state interacting with quantum vacuum radiation, detailed steps are provided that may be useful for calculations involving transient dynamics using the full quantum formalism, particularly in evaluating products involving the noise operators, the initial (time) field operator and initial atomic operators. The cross products of these operators contribute to the preservation of the commutation relation. (C) 2009 Elsevier B.V. All rights reserved. |
| format |
Article |
| author |
Ooi, Chong Heng Raymond Berman, P.R. |
| author_facet |
Ooi, Chong Heng Raymond Berman, P.R. |
| author_sort |
Ooi, Chong Heng Raymond |
| title |
Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products |
| title_short |
Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products |
| title_full |
Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products |
| title_fullStr |
Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products |
| title_full_unstemmed |
Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products |
| title_sort |
preservation of bosonic commutation relation: explicit evaluation of quantum langevin operator products |
| publisher |
Elsevier |
| publishDate |
2010 |
| url |
http://eprints.um.edu.my/7951/ https://doi.org/10.1016/j.physe.2009.06.018 |
| _version_ |
1648736109152174080 |
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13.250246 |