Published January 11, 2002 | Version v1
Journal article Metadata-only

A variational expansion for the free energy of a bosonic system

Creators

  • 1. Institute of Physics and Applied Physics, Yonsei University, Seoul (Korea, Republic of) and Department of Physics and Institute for Theorectical Physics, Shanghai Jiao Tong University, Shanghai (China) and Center for Strongly Correlated Materials Research, Seoul National University (Korea, Republic of)
  • 2. Max-Planck Institute for the Physics of Complex Systems, Dresden (DE)
  • 3. Center for Strongly Correlated Materials Research, Seoul National University (KR)
  • 4. Institute of Physics and Applied Physics, Yonsei University, Seoul (KR)
  • 5. Department of Physics, Yonsei University, Wonju (KR)

Description

In this paper, a variational perturbation scheme for nonrelativistic many-fermion systems is generalized to a bosonic system. By calculating the free energy of an anharmonic oscillator model, we investigated this variational expansion scheme for its efficiency. Using the modified Feynman rules for the diagrams, we obtained the analytical expression of the free energy up to the fourth order. Our numerical results at various orders are compared with the exact and other relevant results. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

URL
http://www.iop.org/;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
35
Journal Issue
1
Journal Page Range
p. 21-32
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
33020956
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ANALYTIC FUNCTIONS; ANHARMONIC OSCILLATORS; BOSON-FERMION SYMMETRY; BOSONS; FEYNMAN DIAGRAM; FREE ENERGY; MANY-BODY PROBLEM; NUMERICAL SOLUTION; VARIATIONAL METHODS
Descriptors DEC
CALCULATION METHODS; DIAGRAMS; ENERGY; FUNCTIONS; INFORMATION; PHYSICAL PROPERTIES; SYMMETRY; THERMODYNAMIC PROPERTIES