Lagrangian for Diffusion in Curved Phase Space
Open Access
- 10 January 1977
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 38 (2) , 51-53
- https://doi.org/10.1103/physrevlett.38.51
Abstract
A Lagrangian is obtained by deriving the path-integral representation of the diffusion process. It can be applied, e.g., to nonequilibrium thermodynamics and to quantized motion in general relativity. In second quantization it is shown to lead to a particularly well-behaved energy-momentum tensor as a source of gravity.Keywords
This publication has 6 references indexed in Scilit:
- Generalized Onsager-Machlup function and classes of path integral solutions of the Fokker-Planck equation and the master equationZeitschrift für Physik B Condensed Matter, 1976
- Onsager-Machlup Function for one dimensional nonlinear diffusion processesZeitschrift für Physik B Condensed Matter, 1975
- Statistical Dynamics of Classical SystemsPhysical Review A, 1973
- Quantum Statistics in Optics and Solid-State PhysicsPublished by Springer Nature ,1973
- An Operator Calculus Having Applications in Quantum ElectrodynamicsPhysical Review B, 1951
- Mathematical Formulation of the Quantum Theory of Electromagnetic InteractionPhysical Review B, 1950