Note on the Retarded van der Waals Potential within the Dipole Approximation

Miyao, Tadahiro

Symmetry integrability and geometry-methods and applications, 2020, 16, 036

Permalink : https://hdl.handle.net/2115/78415

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ファイル	フォーマット	サイズ	閲覧回数	説明
https://doi.org/10.3842/SIGMA.2020.036			11

アクセス権	open access
URI	https://hdl.handle.net/2115/78415
タイトル	Note on the Retarded van der Waals Potential within the Dipole Approximation
著者	著者名 Miyao, Tadahiro
言語	英語
キーワード	retarded van der Waals potential
	non-relativistic QED
	Pauli-Fierz Hamiltonian
	dipole approximation
発行日	2020-06-04
出版者	Institute of Mathematics of the National Academy of Sciences of Ukraine
収録物名	Symmetry integrability and geometry-methods and applications
巻(号)	16
ページ	036
抄録	We examine the dipole approximated Pauli-Fierz Hamiltonians of the nonrelativistic QED. We assume that the Coulomb potential of the nuclei together with the Coulomb interaction between the electrons can be approximated by harmonic potentials. By an exact diagonalization method, we prove that the binding energy of the two hydrogen atoms behaves as R-7, provided that the distance between atoms R is sufficiently large. We employ the Feynman's representation of the quantized radiation fields which enables us to diagonalize Hamiltonians, rigorously. Our result supports the famous conjecture by Casimir and Polder.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Creative Commons Attribution-ShareAlike 4.0 International
PISSN	1815-0659
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.3842/SIGMA.2020.036