Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Reflectionless Discrete Schrödinger Operators are Spectrally Atypical. |
| Συγγραφείς: |
VandenBoom, Tom1 tv4@rice.edu |
| Πηγή: |
Communications in Mathematical Physics. Apr2018, Vol. 359 Issue 2, p499-514. 16p. |
| Θεματικοί όροι: |
*Schrödinger operator, *Spectral sequences (Mathematics), *Hilbert space, *Jacobi operators, *Borel sets |
| Περίληψη: |
We prove that, if an isospectral torus contains a discrete Schrödinger operator with nonconstant potential, the shift dynamics on that torus cannot be minimal. Consequently, we specify a generic sense in which finite unions of nondegenerate closed intervals having capacity one are not the spectrum of any reflectionless discrete Schrödinger operator. We also show that the only reflectionless discrete Schrödinger operators having zero, one, or two spectral gaps are periodic. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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