Adiabaticity of time-dependent Hartree-Fock solutions
Journal Article
·
· Phys. Rev., C; (United States)
A tractable method is presented for the study of the adiabaticity of a given time-dependent Hartree-Fock solution. In terms of the Baranger-Veneroni approach, this amounts to extracting the two operators rho/sub 0/ and chi, for which rather simple expressions are derived. These explicit formulas are exploited to illustrate some implications of the adiabatic approximation itself and several related approximations. In particular, the compatibility of two current hypotheses for the chi operator (locality and absence of particle-particle, hole-hole matrix elements) is pointed out. Finally, the whole disucssion is exemplified by the simple case of uniform translational motion.
- Research Organization:
- W. K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125
- OSTI ID:
- 6636205
- Journal Information:
- Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 18:4; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
653006 -- Nuclear Theory-- Spontaneous & Induced Fission
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
EQUATIONS OF MOTION
FISSION
HADRON-HADRON INTERACTIONS
HARTREE-FOCK METHOD
INTERACTIONS
KINETIC ENERGY
LIQUID DROP MODEL
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
SINGLE-PARTICLE MODEL
TIME DEPENDENCE
653006 -- Nuclear Theory-- Spontaneous & Induced Fission
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
EQUATIONS OF MOTION
FISSION
HADRON-HADRON INTERACTIONS
HARTREE-FOCK METHOD
INTERACTIONS
KINETIC ENERGY
LIQUID DROP MODEL
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
SINGLE-PARTICLE MODEL
TIME DEPENDENCE