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Quantum Monte Carlo for momentum dependent interactions
Projection based quantum Monte Carlo methods (e.g. diffusion or Green's function Monte Carlo) have been used very successively to calculate the ground state properties of a variety of physical systems, ranging from nuclear physics and condensed matter to quantum chemistry.
However, most current implementations are formulated in real space, and as such locality of the interaction in real space is crucial for their success. I will report on our recent investigations in trying to develop similar (projection based) quantum Monte Carlo methods, but for momentum dependent interactions (for example, the recent effective field theory based models of nuclear interactions). The focus will be on building accurate, yet computable guiding wave functions and short time propagators in momentum space.