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2008-03-21 - Article/Dans un journal avec peer-review - Anglais - 16 page(s)

Silvestre-Brac B., Mathieu Vincent , "Spin-dependent operators in correlated Gaussian bases" in Phys. Rev. E, 77, Issue 3, 1-16

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

Abstract(s) :

(Anglais) In their textbook, Suzuki and Varga [Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems (Springer, Berlin, 1998)] present the stochastic variational method with the correlated Gaussian basis in a very exhaustive way. The matrix elements for central potentials are expressed in an elegant form, but the elements for spin-dependent operators, when treated, are given as very cumbersome expressions. We find many formulas for those elements. Their expressions are given in terms of the same geometrical functions that appear in the case of central potentials. These functions obtain therefore a universal status; this property is very useful for numerical applications.

Notes :
  • (Anglais) arXiv:0712.0673
Identifiants :
  • DOI : 10.1103/PhysRevE.77.036706