Semi-Classical Limit and Least Action Principle Revisited with (min,+) Path Integral and Action-Particle Duality - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Russian Journal of Mathematical Physics Année : 2020

Semi-Classical Limit and Least Action Principle Revisited with (min,+) Path Integral and Action-Particle Duality

(1) , (2) , (3)
1
2
3

Résumé

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.
Fichier principal
Vignette du fichier
minplus_path_integral_hal.pdf (320.73 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02892760 , version 1 (20-07-2020)

Identifiants

Citer

Abdelouahab Kenoufi, Michel Gondran, Alexandre Gondran. Semi-Classical Limit and Least Action Principle Revisited with (min,+) Path Integral and Action-Particle Duality. Russian Journal of Mathematical Physics, 2020, 27 (1), pp.61-75. ⟨10.1134/S1061920820010069⟩. ⟨hal-02892760⟩
56 Consultations
205 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More