 |
Journal articles
Semi-Classical Limit and Least Action Principle Revisited with (min,+) Path Integral and Action-Particle Duality
Abstract : One shows that the Feynman’s Path Integral designed for quantum mechanics has an analogous in classical mechanics, the so-called (min, +) Path Integral. This former is build on (min, +)-algebra and (min, +)-analysis which permit to handle in a linear way non-linear problems occurring in mathematical physics. The Hamilton-Jacobi equations and their solutions within this mathematical framework, are introduced and yield to a new interpretation expressed in a duality between action field and particle.
Cited literature [46 references]
https://hal-enac.archives-ouvertes.fr/hal-02892760
Contributor : Laurence Porte <>
Submitted on : Monday, July 20, 2020 - 10:13:41 AM
Last modification on : Tuesday, October 20, 2020 - 10:32:06 AM
Contributor : Laurence Porte <>
Submitted on : Monday, July 20, 2020 - 10:13:41 AM
Last modification on : Tuesday, October 20, 2020 - 10:32:06 AM
Files
minplus_path_integral_hal.pdf
Files produced by the author(s)