[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. However, the Fourier transform of these functions and their application to the management of a relativistic kinetic energy operator are missing and cannot be found in the literature. In this paper we present these interesting formulas. We also give a derivation for formulations concerning central potentials.
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 :
Few-body problem in terms of correlated Gaussians
Publication date :
11 October 2007
Journal title :
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics