A reformulation of Hilbert's tenth problem through Quantum Mechanics

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dc.creatorKieu, Tien D
dc.date2001-11-12
dc.date2003-10-08
dc.date.accessioned2026-07-07T06:03:00Z
dc.date.available2026-07-07T06:03:00Z
dc.descriptionInspired by Quantum Mechanics, we reformulate Hilbert's tenth problem in the domain of integer arithmetics into either a problem involving a set of infinitely coupled differential equations or a problem involving a Shrödinger propagator with some appropriate kernel. Either way, Mathematics and Physics could be combined for Hilbert's tenth problem and for the notion of effective computability.
dc.identifierhttps://arxiv.org/abs/quant-ph/0111063
dc.identifierhttp://arxiv.org/abs/quant-ph/0111063
dc.identifierProc Roy Soc A 460 (2004) 1535 (Final version with modifications)
dc.identifierdoi:10.1098/rspa.2003.1266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89827
dc.subjectQuantum Physics
dc.titleA reformulation of Hilbert's tenth problem through Quantum Mechanics
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