Ground state of many-body lattice systems: an analytical probabilistic approach

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dc.creatorOstilli, Massimo
dc.creatorPresilla, Carlo
dc.date2004-07-29
dc.date2004-11-16
dc.date.accessioned2026-07-07T02:59:29Z
dc.date.available2026-07-07T02:59:29Z
dc.descriptionOn the grounds of a Feynman-Kac--type formula for Hamiltonian lattice systems we derive analytical expressions for the matrix elements of the evolution operator. These expressions are valid at long times when a central limit theorem applies. As a remarkable result we find that the ground-state energy as well as all the correlation functions in the ground state are determined semi-analytically by solving a simple scalar equation. Furthermore, explicit solutions of this equation are obtained in the noninteracting case.
dc.identifierhttps://arxiv.org/abs/cond-mat/0407756
dc.identifierhttp://arxiv.org/abs/cond-mat/0407756
dc.identifierNew J.Phys. 6 (2004) 107
dc.identifierdoi:10.1088/1367-2630/6/1/107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24527
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.subjectProbability
dc.subjectQuantum Physics
dc.titleGround state of many-body lattice systems: an analytical probabilistic approach
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