Quantum extension of the Vlasov method

Journal Article · Wed Aug 01 00:00:00 EDT 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.42.610· OSTI ID:6479331

Lee, S J ^[1]

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1. Physics Department, McGill University, Montreal, Quebec (Canada)

The quantum correction to the Vlasov equation is considered using the Wigner transform of the time-dependent Hartree-Fock equation without truncation in {h bar} order. Decomposing the Wigner function in terms of test particles with the form factor in a phase space, quantum extension of the Vlasov equation determines the equation of motion of the test particle which follows classical dynamics. The discrimination between the quantum and classical limits is related to a density matrix condition which constrains the distribution of test particles.

• OSTI ID: 6479331
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 42:2; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOLTZMANN-VLASOV EQUATION
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FORM FACTORS
HARTREE-FOCK METHOD
HEAVY ION REACTIONS
MECHANICS
MULTIPOLES
NUCLEAR REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM MECHANICS
TIME DEPENDENCE
WIGNER THEORY