Mixed quantum mechanical periodic and potential wall problem |
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Authors: | Paolo Vanini |
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Affiliation: | (1) Mathematik Departement, ETH Zürich, CH-8092 Zürich, Switzerland |
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Abstract: | We consider the Schrödinger equation with an even-square integrable potential of period one on the negative real axis and a wall potential of heighta > 0 on the positive real axis. The spectrum of this Schrödinger equation is determined and it is proved that bounded solutions never exist if the energyE < a is lying in a gap of the periodic spectrum. |
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Keywords: | 81Q05 |
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