Ground-state correlations are introduced via a unitary operator ${e}^{\mathrm{iF}}$ , which is determined by the variational principle. It is surmised that the diagonal part of the transformed Hamiltonian ${H}^{\ensuremath{'}}={e}^{\ensuremath{-}iF}H{e}^{\mathrm{iF}}$ provides a better starting point for any approximate calculation than the corresponding part of $H$ . The method yields good results for a solvable model.Ground-state correlations are introduced via a unitary operator ${e}^{\mathrm{iF}}$, which is determined by the variational principle. It is surmised that the diagonal part of the transformed Hamiltonian ${H}^{\ensuremath{'}}={e}^{\ensuremath{-}iF}H{e}^{\mathrm{iF}}$ provides a better starting point for any approximate calculation than the corresponding part of $H$. The method yields good results for a solvable model.

Physical ReviewOct 20, 19695 citations

Stochastic variational method with a correlated Gaussian basis

Kálmán Varga, Y. Suzuki

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 facilitate a fully analytical calculation of the matrix elements. The nonlinear parameters of the trial function are selected by a stochastic technique. The method has proved efficient, accurate, and seems feasible for any few-body bound-state problems emerging in atomic or nuclear physics. \textcopyright{} 1996 The American Physical Society.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 facilitate a fully analytical calculation of the matrix elements. The nonlinear parameters of the trial function are selected by a stochastic technique. The method has proved efficient, accurate, and seems feasible for any few-body bound-state problems emerging in atomic or nuclear physics. \textcopyright{} 1996 The American Physical Society.

Physical Review AMar 1, 199660 citations

Statistical correlations in nuclear many-body states

Dimitri Kusnezov, B. ALEX BROWN, Vladimir Zelevinsky

Physics Letters BSep 1, 199620 citations

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

Kálmán Varga, Y. Suzuki

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.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.

arXiv:nucl-th/9508023Physical Review CDec 1, 1995410 citations

VARIATIONAL STUDY OF THE NUCLEAR MANY-BODY PROBLEM.

Masumi Yamada, K. Ohshima

Oct 31, 19680 citations

Ground-state correlations are introduced via a unitary operator

{e}^{\mathrm{iF}}

, which is determined by the variational principle. It is surmised that the diagonal part of the transformed Hamiltonian ${H}^{\ensuremath{'}}={e}^{\ensuremath{-}iF}H{e}^{\mathrm{iF}}$ provides a better starting point for any approximate calculation than the corresponding part of

H

. The method yields good results for a solvable model.