Spectral behavior of quasi periodic potentials |
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Authors: | P Sarnak |
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Institution: | (1) Courant Institute of Mathematical Sciences, 251 Mercer Street, 10012 New York, NY, USA |
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Abstract: | Spectral properties of Schrödinger operators of the typeH
=–+V, where is the Laplacian,V a quasiperiodic potential and a coupling constant, are developed.V is taken to be finite sum of exponentials with generic frequencies. For small a strong stability is shown. On the other hand, examples (in the finite diffeence case) are given, for which a transition in the type of spectrum occurs, as is increased.Research supported in part by grant NSF MCS 7900813 |
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