General approach to potentials with two known levels

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dc.creatorDolya, S. N.
dc.creatorZaslavskii, O. B.
dc.date2000-12-29
dc.date2001-02-20
dc.date.accessioned2026-07-07T10:54:58Z
dc.date.available2026-07-07T10:54:58Z
dc.descriptionWe present the general form of potentials with two given energy levels $E_{1}$, $E_{2}$ and find corresponding wave functions. These entities are expressed in terms of one function $ξ(x)$ and one parameter $ΔE=E_{2}$-$E_{1}$. We show how the quantum numbers of both levels depend on properties of the function $ξ(x)$. Our approach does not need resorting to the technique of supersymmetric (SUSY) quantum mechanics but automatically generates both the potential and superpotential.
dc.description14 pages, REVTeX 3.0. In v.2 misprints and inaccuracies in presentation corrected, discussion of 3-dim. case added. In v.3 misprint in eq. 41, several typos and inaccuracies in English corrected. To be published in J. of Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/quant-ph/0012151
dc.identifierhttp://arxiv.org/abs/quant-ph/0012151
dc.identifierJ.Phys.A34:1981-1990,2001
dc.identifierdoi:10.1088/0305-4470/34/10/303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185973
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleGeneral approach to potentials with two known levels
dc.typetext

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