Three theorems of quantum mechanics and their classical counterparts

[en] The Hellmann-Feynman, virial and comparison theorems are three fundamental theorems of quantum mechanics. For the first two, counterparts exist for classical mechanics with relativistic or nonrelativistic kinetic energy. It is shown here that these three theorems are valid for classical mechanics with a nonstandard kinetic energy. This brings some information about the connections between the quantum and classical worlds. Constraints about the functional form of the kinetic energy are also discussed.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Semay, Claude ; Université de Mons > Faculté des Sciences > Service de Physique nucléaire et subnucléaire

Language :

English

Title :

Three theorems of quantum mechanics and their classical counterparts

Publication date :

18 June 2018

Journal title :

European Journal of Physics

ISSN :

0143-0807

Publisher :

Institute of Physics Publishing, United Kingdom

Volume :

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S824 - Physique nucléaire et subnucléaire

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Available on ORBi UMONS :

since 24 May 2018

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Bibliography

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