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Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2008

Spin dependent operators in correlated gaussian bases

Abstract

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 with the correlated Gaussian basis in a very exhaustive way. The matrix elements for central potentials are put under a pleasant form but the elements for spin dependent operators, when treated, are given as very cumbersome expressions. In this paper, we find a lot of new formulae for those elements. Their expressions are given in terms of the same geometrical functions that appear in the case of central potentials. These functions get therefore a universal status; this property is very useful for numerical applications.

Dates and versions

in2p3-00194800 , version 1 (07-12-2007)

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Cite

B. Silvestre-Brac, V. Mathieu. Spin dependent operators in correlated gaussian bases. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 77, pp.036706. ⟨10.1103/PhysRevE.77.036706⟩. ⟨in2p3-00194800⟩
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