Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis

Details Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis

1995-08-14

arxiv.org/abs/nucl-th/9508023v1

Phys.Rev.C52:2885-2905,1995

Physics

Nuclear Physics

Nuclear Theory

39 pages (revtex) + 3 figures (appended as compressed uuencoded .ps files)

Scientific paper

10.1103/PhysRevC.52.2885

Precise variational solutions are given for problems involving diverse fermionic and bosonic $N=2-7$-body systems. The trial wave functions are chosen to be combinations of correlated Gaussians, which are constructed from products of the single-particle Gaussian wave packets through an integral transformation, thereby facilitating fully analytical calculations of the matrix elements. The nonlinear parameters of the trial function are chosen by a stochastic technique. The method has proved very efficient, virtually exact, and it seems feasible for any few-body bound-state problems emerging in nuclear or atomic physics.

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