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

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Submitted:

28 January 2021

Posted:

28 January 2021

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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.
Keywords: 
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Subject: 
Physical Sciences  -   Acoustics
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