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Bound states in continuum of complex potentials generated by supersymmetric quantum mechanics |
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| Institution: | a Faculty of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11120, Belgrade, Yugoslavia b School of Electronic and Electrical Engineering, University of Leeds, Woodhouse Lane, Leeds LS2 9JT, UK |
| Abstract: | It is shown that bound states in continuum can be generated by applying supersymmetric quantum mechanics to real potentials in such a way that the transformed potential becomes complex. Three cases of the initial potential are considered in more detail: flat potential, step potential and rectangular quantum well. The conditions are found for the existence of bound state in continuum in these cases, as well as the expressions for the wavefunction of this state and the corresponding complex potential in analytic form. |
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