Explicit evaluation of certain Gaussian functional integrals arising in problems of statistical physics
- 1 February 1982
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (2) , 243-249
- https://doi.org/10.1063/1.525343
Abstract
An explicit formula is presented for a (conditional) Wiener integral, the integrand of which is an exponential of a general quadratic functional of the path. The functional integrals arising in non-Markovian Gaussian approximations to various problems of statistical physics (e.g., theory of the large polaron, theory of disordered systems) are easily recovered as special cases.Keywords
This publication has 20 references indexed in Scilit:
- The Feynman effective mass of the polaronPhysical Review B, 1979
- Electron density of states in a Gaussian random potential: Path-integral approachPhysical Review B, 1979
- Notes on infinite determinants of Hilbert space operatorsAdvances in Mathematics, 1977
- Path integrals for a nonadditive actionTheoretical and Mathematical Physics, 1975
- Comment on 'exact evaluation of a path integral relating to an electron gas in a random potential'Journal of Physics A: General Physics, 1975
- Path-integral theory of a model disordered systemJournal of Physics C: Solid State Physics, 1974
- Exact evaluation of a path integral relating to an electron gas in a random potentialJournal of Physics A: Mathematical, Nuclear and General, 1974
- Linear and Nonlinear Electronic Transport in Electron-Phonon Systems: Self-Consistent Approach within the Path-Integral FormalismPhysical Review B, 1971
- Magnetization of Slow Electrons in a Polar CrystalPhysical Review B, 1962
- Slow Electrons in a Polar CrystalPhysical Review B, 1955