Feynman's variational principle for a polaron in a magnetic field

Journal Article · Thu Aug 01 04:00:00 EDT 1985 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01033531· OSTI ID:7166557

Gorshkov, S N; Fedyanin, V K; Rodriguez, C; Zabrodin, A V

The authors investigate the validity of the generalization of Feynman's variational inequality in polaron theory to the case of an arbitrary nonvanishing constant magnetic field. It is shown that when an anisotropic trial quadratic action is used this generalization is not valid. For the linear polaron model in the case of isotropic trial quadratic action the validity of the Feynman variational inequality is proved for all temperatures, coupling constants, and magnetic fields.

• Research Organization: Joint Institute for Nuclear Research, Dubna
• OSTI ID: 7166557
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 62:2; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
ELECTRON-PHONON COUPLING
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FEYNMAN PATH INTEGRAL
HAMILTONIANS
INTEGRALS
LEPTONS
MAGNETIC FIELDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PARTICLE MODELS
POLARONS
QUANTUM OPERATORS
QUASI PARTICLES
QUASIPARTICLE-PHONON MODEL
SINGLE-PARTICLE MODEL
VARIATIONAL METHODS