Bohr-Sommerfeld quantization of pseudospin Hamiltonians

Journal Article · Mon Sep 29 04:00:00 EDT 1980 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.45.1088· OSTI ID:6936971

Shankar, R

It is shown here how to map the problem with pseudospin J into an equivalent one in which 1/J plays the role of h and canonical variables exist at the classical level. Bohr-Sommerfeld quantization of the equivalent theory is found to produce a spectrum in very good agreement with the exact results for the Lipkin-Meshkov-Glick model at J=15 and 25. The method readily extends to the SU(n) case.

• Research Organization: J. Willard Gibbs Laboratory, Yale University, New Haven, Connecticut 06520
• DOE Contract Number: EY-76-C-02-3075
• OSTI ID: 6936971
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 45:13; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
BOHR THEORY
CLASSICAL MECHANICS
EIGENVALUES
FEYNMAN PATH INTEGRAL
FUNCTIONS
HAMILTONIANS
INTEGRALS
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
PARTICLE PROPERTIES
PARTITION FUNCTIONS
PHASE SPACE
QUANTUM OPERATORS
SPACE
SPIN
SU GROUPS
SYMMETRY GROUPS