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.
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}
}
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}
}