Abstract
A method is described by which the short-time Green's function Monte Carlo solution to the many-body Schrödinger equation can be used to calculate directly the energy difference between two related systems. This procedure is called the differential Green's function Monte Carlo method, and involves the use of correlated random walks in the sampling of the two systems. The differential Green's function Monte Carlo method is described in a form which is suitable for calculations in which the same trial wavefunction can be used to simulate the two systems. The method is illustrated by the calculation of the dipole moment of lithium hydride.
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