Bifurcation sets of the self-consistent flow in generalized SU(2) models
Journal Article
·
· Phys. Rev. C; (United States)
We analyze the possible bifurcations of the stationary points of the self-consistent flow on the Bloch sphere. We propose a generalized SU(2) model Hamiltonian for which, by means of a geometrically simple classification, we find the topologically invariant regions of the mean field flow in the space of interaction parameters. The borders of these regions are the bifurcation sets corresponding to general nonthermodynamic phase transitions. When these separatrices are crossed, the mean field flow undergoes a qualitative change. We also examine the consequences of the catastrophical configurations on the exact dynamics in quasispin space.
- Research Organization:
- Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
- OSTI ID:
- 7145490
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 38:1; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BLOCH THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
HAMILTONIANS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MEAN-FIELD THEORY
PARITY
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PHASE SPACE
PHASE TRANSFORMATIONS
QUANTUM OPERATORS
SELF-CONSISTENT FIELD
SPACE
SPIN
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
VARIATIONAL METHODS
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BLOCH THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
HAMILTONIANS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MEAN-FIELD THEORY
PARITY
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PHASE SPACE
PHASE TRANSFORMATIONS
QUANTUM OPERATORS
SELF-CONSISTENT FIELD
SPACE
SPIN
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
VARIATIONAL METHODS