Zero-curvature solutions of the one-dimensional Schrodinger equation

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dc.creatorBelloni, M.
dc.creatorDoncheski, M. A.
dc.creatorRobinett, R. W.
dc.date2004-10-13
dc.date.accessioned2026-07-07T06:11:06Z
dc.date.available2026-07-07T06:11:06Z
dc.descriptionWe discuss special k=sqrt{2m(E-V(x))/\hbar^2}=0 (i. e. zero-curvature) solutions of the one-dimensional Schrodinger equation in several model systems which have been used as idealized versions of various quantum well structures. We consider infinite well plus Dirac delta function cases (where E=V(x)=0) and piecewise-constant potentials, such as asymmetric infinite wells (where E=V(x)=V_0>0). We also construct supersymmetric partner potentials for several of the zero-energy solutions in these cases. One application of zero-curvature solutions in the infinite well plus delta-function case is the construction of `designer' wavefunctions, namely zero-energy wavefunctions of essentially arbitrary shape, obtained through the proper placement and choice of strength of the delta-functions.
dc.description13 pages, 2 embedded .eps figures; a slightly shortened version of this manuscript was submitted to Phys. Rev. A as a Brief Report: Fig. 2 was removed in the Phys. Rev. A version, as were some minor details from the text, in order to meet the length requirements for a Brief Report
dc.identifierhttps://arxiv.org/abs/quant-ph/0410104
dc.identifierhttp://arxiv.org/abs/quant-ph/0410104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92438
dc.subjectQuantum Physics
dc.titleZero-curvature solutions of the one-dimensional Schrodinger equation
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