Similarities and differences between the Gaussian and random phase approximation for the partition function

Journal Article · Fri Dec 31 23:00:00 EST 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.49.131· OSTI ID:5286785

Puddu, G ^[1]

---

1. Dipartimento di Fisica dell'Universita' di Milano, Via Celoria 16, I-20133 Milano (Italy)

Analogies and differences between the random phase approximation (RPA) and the Gaussian approximation at finite temperature are discussed. A comparison is made for Hartree and Hartree-Fock temperature dependent mean fields. Some ambiguities, in the definition of the Hartree mean field and in the relative correction, are analyzed. In a solvable model with a repulsive potential, the Gaussian approximation and the RPA, both built from the Hartree mean field, are found more reliable than the RPA built from a Hartree-Fock mean field.

• OSTI ID: 5286785
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 49:1; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663120* -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
EVALUATION
FUNCTIONS
HARTREE-FOCK METHOD
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTITION FUNCTIONS
RANDOM PHASE APPROXIMATION
STATISTICAL MODELS