You need JavaScript to view this

Path integral solutions of the master equation. [Lagrangian function, Ehrenfest-type theorem, Cauchy method, inverse functions]

Abstract

The lagrangian in the path integral solution of the master equation of a stationary Markov process is derived by application of the Ehrenfest-type theorem of quantum mechanics and the Cauchy method of finding inverse functions. Applied to the non-linear Fokker-Planck equation the authors reproduce the result obtained by integrating over Fourier series coefficients and by other methods.
Authors:
Etim, E; Basili, C [1] 
  1. Rome Univ. (Italy). Ist. di Matematica
Publication Date:
Aug 21, 1978
Product Type:
Journal Article
Reference Number:
AIX-10-427660; EDB-79-108796
Resource Relation:
Journal Name: Phys. Lett., A; (Netherlands); Journal Volume: 67:4
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MARKOV PROCESS; FEYNMAN PATH INTEGRAL; EQUATIONS OF MOTION; FOKKER-PLANCK EQUATION; HAMILTONIANS; INTEGRAL EQUATIONS; INTEGRALS; LAGRANGIAN FUNCTION; QUANTUM MECHANICS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; STOCHASTIC PROCESSES; 657001* - Theoretical Physics- General & Miscellaneous- (-1987)
OSTI ID:
6124098
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: PYLAA
Submitting Site:
INIS
Size:
Pages: 246-248
Announcement Date:
May 01, 1979

Citation Formats

Etim, E, and Basili, C. Path integral solutions of the master equation. [Lagrangian function, Ehrenfest-type theorem, Cauchy method, inverse functions]. Netherlands: N. p., 1978. Web.
Etim, E, & Basili, C. Path integral solutions of the master equation. [Lagrangian function, Ehrenfest-type theorem, Cauchy method, inverse functions]. Netherlands.
Etim, E, and Basili, C. 1978. "Path integral solutions of the master equation. [Lagrangian function, Ehrenfest-type theorem, Cauchy method, inverse functions]." Netherlands.
@misc{etde_6124098,
title = {Path integral solutions of the master equation. [Lagrangian function, Ehrenfest-type theorem, Cauchy method, inverse functions]}
author = {Etim, E, and Basili, C}
abstractNote = {The lagrangian in the path integral solution of the master equation of a stationary Markov process is derived by application of the Ehrenfest-type theorem of quantum mechanics and the Cauchy method of finding inverse functions. Applied to the non-linear Fokker-Planck equation the authors reproduce the result obtained by integrating over Fourier series coefficients and by other methods.}
journal = []
volume = {67:4}
journal type = {AC}
place = {Netherlands}
year = {1978}
month = {Aug}
}