Coupled angular momentum model for the Josephson junction

Journal Article · Fri Jul 01 04:00:00 EDT 1983 · Am. J. Phys.; (United States)

DOI:https://doi.org/10.1119/1.13172· OSTI ID:5891639

DiRienzo, A L; Young, R A

A model for the Josephson junction is constructed based on two macroscopic angular momentum vectors. These vectors, which interact via a Heisenberg-like Hamiltonian, are defined by using Anderson's pseudospin concept in superconductivity. The resulting equations of motion lead directly to the basic Josephson results and at the same time provide a simple physical picture for the dynamical behavior of the junction. Both the Anderson (n,phi) and Feynman two-state models of the junction are shown to be equivalent to a restricted form of the angular momentum approach. The process of formulating the junction problem in terms of pseudo-angular-momentum together with the above identification constitutes a microscopic derivation of the Feynman method.

• Research Organization: Department of Physics, University of Arizona, Tucson, Arizona 85721
• OSTI ID: 5891639
• Journal Information: Am. J. Phys.; (United States), Journal Name: Am. J. Phys.; (United States) Vol. 51:7; ISSN AJPIA
• Country of Publication: United States
• Language: English

Related Subjects

656001* -- Condensed Matter Physics-- Solid-State Plasma
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
BCS THEORY
COMMUTATION RELATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
HAMILTONIANS
JOSEPHSON JUNCTIONS
JUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SUPERCONDUCTING JUNCTIONS