The evaluation of the interaction potential of two non-polar molecules in Green function approach

In this research, by assuming that the vacuum electric field fluctuations can convert a molecule (or an atom) into an oscillating electric dipole, the interaction potential of the two atoms or two non-polar molecules is calculated in terms of the molecular polarizabilities and the distance between t...

Full description

Bibliographic Details
Main Authors: H Falinejad, S Falahati
Format: Article
Language:English
Published: Isfahan University of Technology 2022-02-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/article_1753_48849dc0ee409147a245d35d46ef1734.pdf
_version_ 1797996824056823808
author H Falinejad
S Falahati
author_facet H Falinejad
S Falahati
author_sort H Falinejad
collection DOAJ
description In this research, by assuming that the vacuum electric field fluctuations can convert a molecule (or an atom) into an oscillating electric dipole, the interaction potential of the two atoms or two non-polar molecules is calculated in terms of the molecular polarizabilities and the distance between them. Considering the net electric field at the position of a molecule as a sum of the vacuum electric field and the electric field due to the induced electric dipole of the other molecule, and substituting in the quadratic stark shift formula, the interaction potential of the two molecules is related to the vacuum electric field correlation function. By writing the interaction potential in terms of the imaginary parts of vector potential Green function tensor components (via the fluctuation- dissipation theorem and Kubo’s formula in statistical mechanics) and computing the required Green function components, the interaction potential between the two molecules is evaluated. The small and large distances limits of the general formula investigated and the consistencies with the previous works are shown.‎
first_indexed 2024-04-11T10:23:35Z
format Article
id doaj.art-41ae20695e3048639bd8dee77daa426b
institution Directory Open Access Journal
issn 1682-6957
2345-3664
language English
last_indexed 2024-04-11T10:23:35Z
publishDate 2022-02-01
publisher Isfahan University of Technology
record_format Article
series Iranian Journal of Physics Research
spelling doaj.art-41ae20695e3048639bd8dee77daa426b2022-12-22T04:29:40ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642022-02-0121478379110.47176/ijpr.21.4.310331753The evaluation of the interaction potential of two non-polar molecules in Green function approachH Falinejad0S Falahati1Persian Gulf University, BushehrPersian Gulf University, BushehrIn this research, by assuming that the vacuum electric field fluctuations can convert a molecule (or an atom) into an oscillating electric dipole, the interaction potential of the two atoms or two non-polar molecules is calculated in terms of the molecular polarizabilities and the distance between them. Considering the net electric field at the position of a molecule as a sum of the vacuum electric field and the electric field due to the induced electric dipole of the other molecule, and substituting in the quadratic stark shift formula, the interaction potential of the two molecules is related to the vacuum electric field correlation function. By writing the interaction potential in terms of the imaginary parts of vector potential Green function tensor components (via the fluctuation- dissipation theorem and Kubo’s formula in statistical mechanics) and computing the required Green function components, the interaction potential between the two molecules is evaluated. The small and large distances limits of the general formula investigated and the consistencies with the previous works are shown.‎http://ijpr.iut.ac.ir/article_1753_48849dc0ee409147a245d35d46ef1734.pdfvacuum electric fieldquadratic stark efectmolecular polarizabilityelectric field correlation functionfluctuation- dissipation theoremvector potential green function
spellingShingle H Falinejad
S Falahati
The evaluation of the interaction potential of two non-polar molecules in Green function approach
Iranian Journal of Physics Research
vacuum electric field
quadratic stark efect
molecular polarizability
electric field correlation function
fluctuation- dissipation theorem
vector potential green function
title The evaluation of the interaction potential of two non-polar molecules in Green function approach
title_full The evaluation of the interaction potential of two non-polar molecules in Green function approach
title_fullStr The evaluation of the interaction potential of two non-polar molecules in Green function approach
title_full_unstemmed The evaluation of the interaction potential of two non-polar molecules in Green function approach
title_short The evaluation of the interaction potential of two non-polar molecules in Green function approach
title_sort evaluation of the interaction potential of two non polar molecules in green function approach
topic vacuum electric field
quadratic stark efect
molecular polarizability
electric field correlation function
fluctuation- dissipation theorem
vector potential green function
url http://ijpr.iut.ac.ir/article_1753_48849dc0ee409147a245d35d46ef1734.pdf
work_keys_str_mv AT hfalinejad theevaluationoftheinteractionpotentialoftwononpolarmoleculesingreenfunctionapproach
AT sfalahati theevaluationoftheinteractionpotentialoftwononpolarmoleculesingreenfunctionapproach
AT hfalinejad evaluationoftheinteractionpotentialoftwononpolarmoleculesingreenfunctionapproach
AT sfalahati evaluationoftheinteractionpotentialoftwononpolarmoleculesingreenfunctionapproach