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Exact Stochastic Reformulation of Non-Relativistic Quantum Dynamics

Murat Cetinbas·Joshua Wilkie
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Abstract

We show that any non-relativistic quantum N-body dynamics problem with pairwise interactions can be exactly reformulated in terms of N well behaved 1-body stochastic density equations. Specifically, the time evolving N-body density matrix is written as an average of tensor products of 1-body densities each of which obeys a stochastic evolution equation. Such decompositions can be constructed for any mixture of fermions and bosons. The evolution equations for the 1-body densities preserve norm, Hermiticity and positivity.

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Murat Cetinbas, Joshua Wilkie. 2004-07-05. Exact Stochastic Reformulation of Non-Relativistic Quantum Dynamics. https://arxiv.org/abs/quant-ph/0407036

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