Schrödinger operators with dynamically defined potentials
2016 ◽
Vol 37
(6)
◽
pp. 1681-1764
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Keyword(s):
In this survey we discuss spectral and quantum dynamical properties of discrete one-dimensional Schrödinger operators whose potentials are obtained by real-valued sampling along the orbits of an ergodic invertible transformation. After an introductory part explaining basic spectral concepts and fundamental results, we present the general theory of such operators, and then provide an overview of known results for specific classes of potentials. Here we focus primarily on the cases of random and almost periodic potentials.
Keyword(s):
2001 ◽
Vol 64
(1)
◽
pp. 125-143
◽
Keyword(s):
2009 ◽
Vol 20
(3-4)
◽
pp. 265-273
◽
Keyword(s):
1993 ◽
Vol 158
(1)
◽
pp. 45-66
◽
2017 ◽
Vol 18
(6)
◽
pp. 2075-2085
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