Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Nonrelativistic Quantum-Mechanical Hamiltonian with Diamagnetic Current-Current Interaction

Version 1 : Received: 28 January 2021 / Approved: 28 January 2021 / Online: 28 January 2021 (22:27:22 CET)

How to cite: Bányai, L.A. The Nonrelativistic Quantum-Mechanical Hamiltonian with Diamagnetic Current-Current Interaction. Preprints 2021, 2021010598 (doi: 10.20944/preprints202101.0598.v1). Bányai, L.A. The Nonrelativistic Quantum-Mechanical Hamiltonian with Diamagnetic Current-Current Interaction. Preprints 2021, 2021010598 (doi: 10.20944/preprints202101.0598.v1).

Abstract

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 form 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.

Subject Areas

diamagnetism; current-current; interaction; non-relativistic QED

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