Coupled angular momentum model for the Josephson junction

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1982

OSTI ID:6912285

DiRienzo, A L

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 using Anderson's pseudospin concept in superconductivity. Along with this, a new state vector, which affords a more complete description of the constant-charge-imbalance mode of the junction, is explicitly constructed. 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. A perturbation theory calculation is carried out within the full pseudo-angular-momentum equations of motion to determine how this approach differs from the earlier ones.

• Research Organization: Arizona Univ., Tucson (USA)
• OSTI ID: 6912285
• Country of Publication: United States
• Language: English

Related Subjects

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656101* -- Solid State Physics-- Superconductivity-- General Theory-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
HAMILTONIANS
JOSEPHSON JUNCTIONS
JUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUANTUM OPERATORS
SUPERCONDUCTING JUNCTIONS
TENSORS
VECTORS