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Reflection symmetries and absence of eigenvalues for one-dimensional Schrödinger operators |
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| Authors: | David Damanik Dirk Hundertmark |
| Institution: | Department of Mathematics 253--37, California Institute of Technology, Pasadena, California 91125 ; Department of Mathematics 253--37, California Institute of Technology, Pasadena, California 91125 |
| Abstract: | We prove a criterion for absence of decaying solutions for one-dimensional Schrödinger operators. As necessary input, we require infinitely many centers of local reflection symmetry and upper and lower bounds for the traces of the associated transfer matrices. |
| Keywords: | Schr\"odinger operators eigenvalue problem local reflection symmetries |
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