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NATO ASI series. Series B : Physics

Spin-Dependent Generalized Collective Model

Martin Greiner, Dirk Heumann, W. Scheid, G. Braunss, Peter Oto Hess

Published Jan 1, 1994• 0 citations
Publisher
DOI
10.1007/978-1-4615-2568-4_24

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We derive an exact probabilistic representation for the evolution of a Hubbard model with site- and spin-dependent hopping coefficients and site-dependent interactions in terms of an associated stochastic dynamics of a collection of Poisson processes. In a recent paper 1 we provided an exact probabilistic expression for the real time or the imaginary time evolution of a Fermi system, in particular a Hubbard model, in terms of an associated stochastic dynamics of a collection of Poisson processes. Here, we generalize the result 1 to the case of a Hubbard model with site- and spin-dependent hopping coefficients and site-dependent interactions. This situation is of interest if disorder is present 2. Let us consider the Hubbard Hamiltonian
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