TY - JOUR A1 - Bányai, Ladislaus Alexander T1 - The non-relativistic many-body quantum-mechanical Hamiltonian with diamagnetic current-current interaction T2 - International journal of theoretical physics N2 - 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. KW - Many-body KW - Non-relativistic QED KW - 1/c 2 electronic Hamiltonian KW - Current-curent interaction KW - Diamagnetism Y1 - 2021 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/71009 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-710091 SN - 1572-9575 N1 - Open Access funding enabled and organized by Projekt DEAL. VL - 60 IS - 6 SP - 2236 EP - 2243 PB - Springer Science + Business Media B.V. CY - New York, NY ER -