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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Miyao, Tadahiro
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210714
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Note on the Retarded van der Waals Potential within the Dipole Approximation. Tadahiro Miyao. SIGMA 16 (2020), 036, 34 pages

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 b...