Group theoretical approach to the intertwined Hamiltonians

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dc.creatorCariñena, José F.
dc.creatorC., David J. Fernández
dc.creatorRamos, Arturo
dc.date2003-11-20
dc.date.accessioned2026-07-07T04:30:44Z
dc.date.available2026-07-07T04:30:44Z
dc.descriptionWe show that the finite difference Bäcklund formula for the Schrödinger Hamiltonians is a particular element of the transformation group on the set of Riccati equations considered by two of us in a previous paper. Then, we give a group theoretical explanation to the problem of Hamiltonians related by a first order differential operator. A generalization of the finite difference algorithm relating eigenfunctions of {\emph three} different Hamiltonians is found, and some illustrative examples of the theory are analyzed, finding new potentials for which one eigenfunction and its corresponding eigenvalue is exactly known.
dc.identifierhttps://arxiv.org/abs/math-ph/0311029
dc.identifierhttp://arxiv.org/abs/math-ph/0311029
dc.identifierAnnals Phys. 292 (2001) 42-66
dc.identifierdoi:10.1006/aphy.2001.6179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57567
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleGroup theoretical approach to the intertwined Hamiltonians
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