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2021-03-25 - Article/Dans un journal avec peer-review - Anglais - 8 page(s)

Semay Claude , Willemyns Cintia , "Quasi Kepler's third law for quantum many-body systems" in European Physical Journal Plus, 136, 342

  • Codes CREF : Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211)
  • Unités de recherche UMONS : Physique nucléaire et subnucléaire (S824)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) The Kepler's third law is a relation between the period and the energy of two classical particles interacting via a gravitational potential. Recent works showed that this law could be extended, at least approximately, to classical three-body systems, or even many-body classical systems. So, a classical quasi Kepler's third law seems to exist. In this paper, approximate analytical solutions are computed for quantum self-gravitating particles with different masses. The results give strong indications in favor of the existence of a quasi Kepler's third law for such systems. The relevance of the proposal is checked with accurate numerical data for the ground state of self-gravitating identical bosons and with numerical estimations for systems with identical particles plus a different one. Connections between the quantum and classical systems are discussed.

Identifiants :
  • DOI : 10.1140/epjp/s13360-021-01313-2
  • arXiv : 2005.06973

Mots-clés :
  • (Anglais) Kepler's third law
  • (Anglais) Many-body quantum system