The non-relativistic many-body quantum-mechanical Hamiltonian with diamagnetic current-current interaction
- We extend the standard solid-state quantum mechanical Hamiltonian containing only Coulomb interactions between the charged particles by inclusion of the (transverse) current-current diamagnetic interaction starting from the non-relativistic QED restricted to the states without photons and neglecting the retardation in the photon propagator. This derivation is supplemented with a derivation of an analogous result along the non-rigorous old classical Darwin-Landau-Lifshitz argumentation within the physical Coulomb gauge.
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| Author: | Ladislaus Alexander BányaiORCiDGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-710091 |
| DOI: | https://doi.org/10.1007/s10773-021-04842-9 |
| ISSN: | 1572-9575 |
| Parent Title (English): | International journal of theoretical physics |
| Publisher: | Springer Science + Business Media B.V. |
| Place of publication: | New York, NY |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2021/06/04 |
| Date of first Publication: | 2021/06/04 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2023/03/28 |
| Tag: | 1/c 2 electronic Hamiltonian; Current-curent interaction; Diamagnetism; Many-body; Non-relativistic QED |
| Volume: | 60 |
| Issue: | 6 |
| Page Number: | 8 |
| First Page: | 2236 |
| Last Page: | 2243 |
| Note: | Open Access funding enabled and organized by Projekt DEAL. |
| HeBIS-PPN: | 508898919 |
| Institutes: | Physik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - CC BY - Namensnennung 4.0 International |
