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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 Connect in order to contact the contributor
Submitted on : Monday, July 20, 2020 - 10:13:41 AM
Last modification on : Wednesday, November 3, 2021 - 5:38:15 AM
Long-term archiving on: : Tuesday, December 1, 2020 - 1:12:51 AM
Contributor : Laurence Porte Connect in order to contact the contributor
Submitted on : Monday, July 20, 2020 - 10:13:41 AM
Last modification on : Wednesday, November 3, 2021 - 5:38:15 AM
Long-term archiving on: : Tuesday, December 1, 2020 - 1:12:51 AM
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