Method of time-ordered products in polaron theory
Journal Article
·
· Theor. Math. Phys.; (United States)
The method of time-ordered products is used to investigate the equilibrium thermodynamic properties of the Frolich model in polaron theory. The polaron free energy at finite temperatures is calculated on the basis of Bogolyubov's variational principle. The trial functional is chosen in the most general form corresponding to an arbitrary number of harmonic oscillators interacting with the electron. An upper bound for the polaron ground-state energy is obtained and studied in the case of weak coupling and low temperatures. It is shown that the accuracy of the bound increases with increasing number of oscillators.
- Research Organization:
- V.A. Steklov Mathematics Inst., USSR Academy of Sciences
- OSTI ID:
- 6920306
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 67:1; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOGOLYUBOV TRANSFORMATION
BOUNDARY CONDITIONS
CANONICAL TRANSFORMATIONS
ELECTRON-PHONON COUPLING
ENERGY LEVELS
EQUILIBRIUM
FOURIER TRANSFORMATION
GROUND STATES
HAMILTONIANS
HARMONIC OSCILLATOR MODELS
INTEGRAL TRANSFORMATIONS
LATTICE VIBRATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
ORTHOGONAL TRANSFORMATIONS
PERTURBATION THEORY
POLARONS
QUANTUM OPERATORS
QUASI PARTICLES
TRANSFORMATIONS
WEAK-COUPLING MODEL
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOGOLYUBOV TRANSFORMATION
BOUNDARY CONDITIONS
CANONICAL TRANSFORMATIONS
ELECTRON-PHONON COUPLING
ENERGY LEVELS
EQUILIBRIUM
FOURIER TRANSFORMATION
GROUND STATES
HAMILTONIANS
HARMONIC OSCILLATOR MODELS
INTEGRAL TRANSFORMATIONS
LATTICE VIBRATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
ORTHOGONAL TRANSFORMATIONS
PERTURBATION THEORY
POLARONS
QUANTUM OPERATORS
QUASI PARTICLES
TRANSFORMATIONS
WEAK-COUPLING MODEL