ON APPLICATION OF QUANTUM FIELD THEORY METHODS TO PROBLEMS OF QUANTUM STATISTICS AT FINITE TEMPERATURES

Journal Article · Sun Mar 01 00:00:00 EST 1959 · Zhur. Eksptl'. i Teoret. Fiz.

OSTI ID:4264799

Abrikosov, A A; Gor'kov, L P; Dzyaloshinskii, I E

S>A formulation of the thermodynamic perturbation theory is proposed which permits the application of quantum field theory methods to quantum statistics at finite temperatures. The method is an extension of the Matsubara technique and is based on expansion of the Green's functions in Fourier series in an imaginary time variable. The technique thus arrived at differs from the usual diagram technique for T = 0 in that summation over discrete values of the imaginary frequency is substituted for integration over the frequencies. The analytical properties of Fourier components of Green's functions are investigated. It is shown that due to the possibility of analytic continuation for solution of various kinetic and nonstationary problems, it is sufficient to know the corresponding equilibrium Green's functions. (auth)

• Research Organization: Inst. of Problems in Physics, Academy of Sciences, U.S.S.R.
• NSA Number: NSA-13-012855
• OSTI ID: 4264799
• Journal Information: Zhur. Eksptl'. i Teoret. Fiz., Journal Name: Zhur. Eksptl'. i Teoret. Fiz. Vol. Vol: 36
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

FIELD THEORY
FOURIER ANALYSIS
FREQUENCY
GREEN FUNCTION
MATHEMATICS
OSCILLATIONS
PERTURBATION THEORY
PHYSICS AND MATHEMATICS
QUANTUM MECHANICS
STATISTICS
TEMPERATURE
THERMODYNAMICS