Quantum-state representations in a strong quantizing magnetic field: Pairing theory of superconductivity

Journal Article · Fri Nov 01 00:00:00 EST 1991 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.44.10280· OSTI ID:6029782

Rajagopal, A K; Ryan, J C ^[1]

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1. Naval Research Laboratory, Washington, D.C. (USA)

Two of the commonly used basis states of an electron in a strong quantizing magnetic field ( orbit center'' and angular momentum''), their interrelation, and physical interpretations are described briefly here. Their relative utility in elucidating various physical aspects is exhibited by examining (1) the exact solution of the linearized superconducting gap equation, and (2) the matrix elements of a plane wave in both representations. It is shown that the two-particle matrix element of the contact interaction, {ital {bar V}}{delta}({bold r}{sub 1}{minus}{bold r}{sub 2}), in the orbit-center representation is separable in the relative orbit centers. A complete set of solutions of the linearized gap equation is thereby obtained.

• OSTI ID: 6029782
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 44:18; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SUPERCONDUCTIVITY
COOPER PAIRS
ELECTRON CORRELATION
ANALYTICAL SOLUTION
ENERGY GAP
MATRIX ELEMENTS
WAVE FUNCTIONS
CORRELATIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FUNCTIONS
PHYSICAL PROPERTIES
665411* - Basic Superconductivity Studies- (1992-)