The few-body problem in terms of correlated gaussians

Details The few-body problem in terms of correlated gaussians The few-body problem in terms of correlated gaussians

2007-06-15

arxiv.org/abs/0706.2300v1

Phys.Rev.E76:046702,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages

Scientific paper

10.1103/PhysRevE.76.046702

In their textbook, Suzuki and Varga [Y. Suzuki and K. Varga, {\em Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems} (Springer, Berlin, 1998)] present the stochastic variational method in a very exhaustive way. In this framework, the so-called correlated gaussian bases are often employed. General formulae for the matrix elements of various operators can be found in the textbook. However the Fourier transform of correlated gaussians 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 formulae. We give also a derivation for new formulations concerning central potentials; the corresponding formulae are more efficient numerically than those presented in the textbook.

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