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The asymptotic Casimir–Polder potential from second‐order perturbation theory and its generalization for anisotropic polarizabilities
Author(s) -
Craig D. P.,
Power E. A.
Publication year - 1969
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560030613
Subject(s) - casimir effect , sigma , anisotropy , hamiltonian (control theory) , mathematical physics , physics , perturbation theory (quantum mechanics) , quantum mechanics , generalization , order (exchange) , van der waals force , molecule , mathematical analysis , mathematics , mathematical optimization , finance , economics
Abstract It is shown how the leading term for very large R of the Casimir–Polder potential, that is the term varying as R −7 , arises in second‐order perturbation theory applied to the interaction Hamiltonian − \documentclass{article}\pagestyle{empty}\begin{document}$ - \sum\limits_\sigma {\frac{1}{2}\alpha (\sigma){\rm E}^{ \bot ^2 } (\sigma)} $\end{document} . The generalization to anisotropic molecules is calculated and the angular dependence of the long range intermolecular potential in this case is given explicitly in terms of the principal polarizabilities and their corresponding directions of the two molecules.