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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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Main Authors: Ooi, Chong Heng Raymond, Berman, P.R.
Format: Article
Published: Elsevier 2010
Subjects:
QC Physics
Online Access:http://eprints.um.edu.my/7951/
https://doi.org/10.1016/j.physe.2009.06.018
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spelling 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
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QC Physics
spellingShingle 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
score 13.211869

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