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Quasiparticle, charge, and energy conservation in weak‐coupling superconductors
Author(s) -
Mathews W. N.
Publication year - 1978
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220900136
Subject(s) - quasiparticle , hamiltonian (control theory) , physics , conservation law , quantum mechanics , wave function , charge conservation , superconductivity , quantum electrodynamics , charge (physics) , condensed matter physics , mathematics , mathematical optimization
The conservation of quasiparticles, electric charge, and energy in weak‐coupling superconductors is discussed and correlated with the interpretation of the quasiparticles as particle and hole excitations. The formulation employed is that of the Bogolyubov‐de Gennes equations. In the absence of spin‐dependent interactions these equations are written in the form of a time‐dependent Schrödinger equation with a two‐component wave function and a two‐by‐two matrix Hamiltonian. Accordingly, the desired conservation laws are discussed on much the same basis as in ordinary quantum theory. The generalization to permit nonlocal quasiparticle and pair potentials and spin‐dependent interactions is briefly presented.