What do we know about wave function nodes?

dc.creatorBressanini, D.
dc.creatorCeperley, D. M.
dc.creatorReynolds, P. J.
dc.date2001-06-12
dc.date.accessioned2026-07-07T06:02:14Z
dc.date.available2026-07-07T06:02:14Z
dc.descriptionAlthough quantum Monte Carlo is, in principal, an exact method for solving the Schroedinger equation, it is well-known that systems of Fermions still pose a challenge. Thus far all solutions to the "sign problem" remain inefficient (or wrong). The fixed-node approach, however, is efficient, and in many situations remains the best approach. If only we could find the exact nodes, or at least a systematic way to improve the nodes, we would, in effect, bypass the sign problem. Unfortunately, very little is known about wave function nodes, and a systematic study has never been attempted, despite the obvious consequences for improving quantum simulations that such knowledge might generate. In this paper we study the nodal surfaces of simple atomic systems.
dc.descriptionAccepted by World Scientific for publication. More material on nodes at http://www.unico.it/~dario/nodes
dc.identifierhttps://arxiv.org/abs/quant-ph/0106062
dc.identifierhttp://arxiv.org/abs/quant-ph/0106062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89535
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectAtomic Physics
dc.titleWhat do we know about wave function nodes?
dc.typetext

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