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Note on the Retarded van der Waals Potential within the Dipole Approximation
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| Title: | Note on the Retarded van der Waals Potential within the Dipole Approximation |
| Authors: | Miyao, Tadahiro Browse this author |
| Keywords: | retarded van der Waals potential | | non-relativistic QED | | Pauli-Fierz Hamiltonian | | dipole approximation |
| Issue Date: | 4-Jun-2020 |
| Publisher: | Institute of Mathematics of the National Academy of Sciences of Ukraine |
| Journal Title: | Symmetry integrability and geometry-methods and applications |
| Volume: | 16 |
| Start Page: | 036 |
| Publisher DOI: | 10.3842/SIGMA.2020.036 |
| Abstract: | 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. |
| Rights: | https://creativecommons.org/licenses/by-sa/4.0/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/78415 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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