Exact Stochastic Reformulation of Non-Relativistic Quantum Dynamics
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0407036,
title = {Exact Stochastic Reformulation of Non-Relativistic Quantum Dynamics},
author = {Murat Cetinbas and Joshua Wilkie},
journal= {arXiv preprint arXiv:quant-ph/0407036},
year = {2007}
}