Finding gaps in a spectrum

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dc.creatorGiacomini, Hector
dc.creatorMouchet, Amaury
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:28:55Z
dc.date.available2026-07-07T08:28:55Z
dc.descriptionWe propose a method for finding gaps in the spectrum of a differential operator. When applied to the one-dimensional Hamiltonian of the quartic oscillator, a simple algebraic algorithm is proposed that, step by step, separates with a remarkable precision all the energies even for a double-well configuration in a tunnelling regime. Our strategy may be refined and generalised to a large class of 1d-problems.
dc.identifierhttps://arxiv.org/abs/0706.3800
dc.identifierhttp://arxiv.org/abs/0706.3800
dc.identifierJournal of Physics A Mathematical and Theoretical 40, 39 (2007) F921-F928
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137789
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleFinding gaps in a spectrum
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