Monte-Carlo solution of Schrödinger's equation☆

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Abstract

A new Monte-Carlo method is presented for the calculation of the ground-state wavefunction and energy value of the many-body Schrödinger 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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☆

Supported by the Australian Research Grants Committee.

†

Present Address: U.K.A.E.A. Research Group, Culham Laboratory, Abingdon, Berkshire, U.K.

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