THEORY OF SUPERCONDUCTIVITY

Journal Article · Thu Feb 15 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.125.1244· OSTI ID:4799487

Liu, S H

Recently, Eliashberg derived the theory of superconductivity by the Green's function technique. The energygap equation was deduced by a self- consistent calculation. The result is similar to the integral equation of Bardeen, Cooper, and Schrieffer except that the effective electron interaction potential is different from the Bardeen-Pines potential as well as the Bogoliubov potential. These differences are discussed, and it is shown that the dangerous terms'' in the Bogoliubov theory may be calculated in a different manner. The compensation of these dangerous terms leads to the result of Eliashberg. Therefore, the self-consistent calculation of Eliashberg is but a different interpretation of Bogoliubov's idea. However, it is argued that the most reliable way of treating the problem should be the variational method because it gives the lowest ground-state energy. This method gives all the results of Bogoliubov in the lowest order of approximation, but is free from arbitrary interpretations. (auth)

• Research Organization: International Business Machines Corp., Yorktown Heights, N.Y.
• NSA Number: NSA-16-013780
• OSTI ID: 4799487
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 125; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ATOMIC MODELS
DIFFERENTIAL EQUATIONS
ELECTRONS
ENERGY
ENERGY LEVELS
EQUATIONS
GREEN FUNCTION
INTERACTIONS
MATHEMATICS
PHYSICS
QUANTUM MECHANICS
SOLIDS
SUPERCONDUCTIVITY
VARIATIONAL METHOD
VARIATIONS