Symmetry-conserving variational dynamics: Application to quasispin systems

Journal Article · Thu Dec 01 04:00:00 EST 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.28.2472· OSTI ID:5265838

Solari, H G; Hernandez, E S

A time-dependent variational procedure is proposed that possesses the same constants of the motion as the exact many-body Schroedinger dynamics. The class of trial wave functions is larger than the manifold of Slater determinants that supports the time-dependent Hartree-Fock dynamics. These wave functions can be regarded as superpositions of the eigenfunctions of the conserved observable of interest and the variational equations display the usual parametric structure, with properly admixed energy gradients and the symplectic metric tensor. In an application to the Lipkin-Meshkov-Glick model, significant improvements over the usual mean-field or determinantal dynamics can be achieved.

• Research Organization: Consejo Nacional de Investigaciones Cientificas y Tecnicas, Buenos Aires, Argentina
• OSTI ID: 5265838
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 28:6; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HARTREE-FOCK METHOD
MANY-BODY PROBLEM
METRICS
NUCLEAR STRUCTURE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
SPIN
TIME DEPENDENCE
VARIATIONAL METHODS
WAVE FUNCTIONS