← Back to search

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

A. K. Rajagopal, J. C. Ryan

DOI 10.1103/PhysRevB.44.10280 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

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, V¯δ(r1-r2), 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.

Similar papers