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Generalized Local Charge Conservation in Many-Body Quantum Mechanics

Author

Listed:
  • F. Minotti

    (Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires C1428EGA, Argentina
    Instituto de Física Interdisciplinaria y Aplicada (INFINA), CONICET-Universidad de Buenos Aires, Buenos Aires C1428EGA, Argentina)

  • G. Modanese

    (Faculty of Engineering, Free University of Bozen-Bolzano, I-39100 Bolzano, Italy)

Abstract

In the framework of the quantum theory of many-particle systems, we study the compatibility of approximated non-equilibrium Green’s functions (NEGFs) and of approximated solutions of the Dyson equation with a modified continuity equation of the form ∂ t ⟨ ρ ⟩ + ( 1 − γ ) ∇ · ⟨ J ⟩ = 0 . A continuity equation of this kind allows the e.m. coupling of the system in the extended Aharonov–Bohm electrodynamics, but not in Maxwell electrodynamics. Focusing on the case of molecular junctions simulated numerically with the Density Functional Theory (DFT), we further discuss the re-definition of local current density proposed by Wang et al., which also turns out to be compatible with the extended Aharonov–Bohm electrodynamics.

Suggested Citation

  • F. Minotti & G. Modanese, 2025. "Generalized Local Charge Conservation in Many-Body Quantum Mechanics," Mathematics, MDPI, vol. 13(5), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:892-:d:1607133
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