Symplectic manifolds, coadjoint orbits, and Mean Field Theory
Conference
·
· Int. J. Theor. Phys.; (United States)
OSTI ID:6770573
Mean field theory is given a geometrical interpretation as a Hamiltonian dynamical system. The Hartree-Fock phase space is the Grassmann manifold, a symplectic submanifold of the projective space of the full many-fermion Hilbert space. The integral curves of the Hartree-Fock vector field are the time-dependent Hartree-Fock solutions, while the critical points of the energy function are the time-independent states. The mean field theory is generalized beyond determinants to coadjoint orbit spaces of the unitary group; the Grassmann variety is the minimal coadjoint orbit.
- Research Organization:
- Tulane Univ., New Orleans, LA
- OSTI ID:
- 6770573
- Report Number(s):
- CONF-8505305-
- Conference Information:
- Journal Name: Int. J. Theor. Phys.; (United States) Journal Volume: 25:5
- Country of Publication:
- United States
- Language:
- English
Similar Records
Coadjoint orbits and conformal field theory
Marsden{endash}Weinstein reduction on graded symplectic manifolds
Natural star-products on symplectic manifolds and related quantum mechanical operators
Thesis/Dissertation
·
Sun Aug 01 00:00:00 EDT 1993
·
OSTI ID:10192472
Marsden{endash}Weinstein reduction on graded symplectic manifolds
Journal Article
·
Fri Feb 28 23:00:00 EST 1997
· Journal of Mathematical Physics
·
OSTI ID:467261
Natural star-products on symplectic manifolds and related quantum mechanical operators
Journal Article
·
Thu May 15 00:00:00 EDT 2014
· Annals of Physics (New York)
·
OSTI ID:22314801
Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATOMIC MODELS
BANACH SPACE
ELECTRONIC STRUCTURE
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HAMILTONIANS
HARTREE-FOCK METHOD
HILBERT SPACE
LEPTONS
LIE GROUPS
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MEAN-FIELD THEORY
PHASE SPACE
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SP GROUPS
SPACE
SYMMETRY GROUPS
TIME DEPENDENCE
VECTOR FIELDS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATOMIC MODELS
BANACH SPACE
ELECTRONIC STRUCTURE
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HAMILTONIANS
HARTREE-FOCK METHOD
HILBERT SPACE
LEPTONS
LIE GROUPS
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MEAN-FIELD THEORY
PHASE SPACE
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SP GROUPS
SPACE
SYMMETRY GROUPS
TIME DEPENDENCE
VECTOR FIELDS