Monte-Carlo solution of Schrödinger's equation☆

Abstract A new Monte-Carlo method is presented for the calculation of the ground-state wavefunction and energy value of the many-body Schrodinger equation. Several refinements to the iterative scheme, including the use of variational wavefunctions to improve the energy estimate and a variance reducing technique, are also discussed. The method allows for a straightforward treatment of repulsive potentials. It is applied to several problems including the three-nucleon problem with simple two-body forces.

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