Concerning a New Method in the Theory of Superconductivity; O NOVOM METHODE V TEORII SVERKHPROVODIMOSTI. III

Technical Report · Tue Jan 01 04:00:00 EST 1957

OSTI ID:4783348

Bogolyubov, N N

In the recent past many breakthroughs have been achieved in the solution of statistical problems in physics by the method of the summation of important limits. Using this method the same results attained in previous works can be obtained in the theory of superconductivity. Previous studies in this field have been carried out with the help of canonical transformations and the principle of compensation for limits with dangerous'' energy denominators. In the place of the Frolich hamiltonian the Bardeen hamiltonian is used since both are equivalent for the calculation of electron-photon interaction as it influences the dynamics of electrons close to the Fermi level. Also the Bardeen hamiltonian is significantly easier to use, and a connection with the ideas of Bardeen, Cooper, and Schrieffer can be established immediately. The present results agree with those obtained by Bardeen et al. The method used here, however, turns out to be highly descriptive. The method of canonical transformations is much more basic; using it one can easily obtain the desired approximations. It also allows one to calculate various thermodynamical quantities. (TTT)

• Research Organization: Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
• NSA Number: NSA-16-015266
• OSTI ID: 4783348
• Report Number(s): JINR-P-99
• Country of Publication: USSR
• Language: English

Related Subjects

CANONICAL ENSEMBLE
DIFFERENTIAL EQUATIONS
ELECTRONS
FERMIONS
HAMILTONIAN
INTERACTIONS
MATHEMATICS
PHOTONS
PHYSICS
STATISTICS
SUPERCONDUCTIVITY
THERMODYNAMICS