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A Rigorous Formulation of the Boson Method in Superconductivity
Author(s) -
Matsumoto H.,
Umezawa H.
Publication year - 1976
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19760240702
Subject(s) - formalism (music) , superconductivity , boson , path integral formulation , physics , mathematics , mathematical physics , quantum mechanics , art , musical , visual arts , quantum
A rigorous formulation of the boson method in superconductivity is presented. Assuming the local gauge invariance and presence of a phase‐dependent order parameter and utilizing the path‐integral formalism, we derive a set of macroscopic equations which control all the superconducting states. These equations are model‐independent. They contain certain functions and parameters which should be calculated for a given model. Using this rigorous formulation, we study what kind of approximations are involved in the usual formulation of the boson method and how these approximations can be improved.