Generalized Local Charge Conservation in Many-Body Quantum Mechanics

F. Minotti and G. Modanese ()
Additional contact information
F. Minotti: Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires C1428EGA, Argentina
G. Modanese: Faculty of Engineering, Free University of Bozen-Bolzano, I-39100 Bolzano, Italy

Mathematics, 2025, vol. 13, issue 5, 1-10

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.

Keywords: extended Aharonov–Bohm electrodynamics; non-equilibrium Green’s functions; Dyson equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/5/892/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/5/892/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:5:p:892-:d:1607133

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().