[en] 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.
Research center :
AGIF - Algèbre, Géométrie et Interactions fondamentales
Disciplines :
Physics
Author, co-author :
Silvestre-Brac, B.
Mathieu, Vincent ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire
Language :
English
Title :
Spin-dependent operators in correlated Gaussian bases
Publication date :
21 March 2008
Journal title :
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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