A new quantum statistical evaluation method for time correlation functions

Journal Article · Wed Feb 01 04:00:00 EST 1989 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01019775· OSTI ID:5724048

Loss, D; Schoeller, H

Considering a system of N identical interacting particles, which obey Fermi-Dirac or Bose-Einstein statistics, the authors derive new formulas for correlation functions of the type C(t) = < /Sigma/ /sub i = 1//sup N/ A/sub i/(t) /Sigma//sub j=1//sup N/ B/sub j/ > (where B/sub j/ is diagonal in the free-particle states) in the thermodynamic limit. Thereby they apply and extend a superoperator formalism, recently developed for the derivation of long-time tails in semiclassical systems. As an illustrative application, the Boltzmann equation value of the time-integrated correlation function C(t) is derived in a straight-forward manner. Due to exchange effects, the obtained /cflx t/-matrix and the resulting scattering cross section, which occurs in the Boltzmann collision operator, are now functionals of the Fermi-Dirac or Bose-Einstein distribution.

• Research Organization: Universitaet Zuerich (Switzerland)
• OSTI ID: 5724048
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 54:3-4; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
657002 -- Theoretical &amp; Mathematical Physics-- Classical &amp; Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOLTZMANN EQUATION
BOSE-EINSTEIN STATISTICS
BOSONS
BOUNDARY CONDITIONS
CORRELATION FUNCTIONS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXCHANGE INTERACTIONS
FERMI STATISTICS
FERMIONS
FUNCTIONS
INTERACTIONS
LIOUVILLE THEOREM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PHASE SPACE
QUANTUM MECHANICS
QUANTUM OPERATORS
SCATTERING
SERIES EXPANSION
SPACE
STATISTICAL MECHANICS
SUPEROPERATORS
THERMODYNAMICS
TIME DEPENDENCE
TRANSPORT THEORY