Schr\"odinger operators with singular Gordon potentials
classification
🧮 math.SP
math-phmath.MP
keywords
gordonpotentialssingulardistributionsodingeroperatorsschrapproximated
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Singular Gordon potentials are defined to be distributions from the space W^{-1}_{2,unif}(R) that are sufficiently fast approximated by periodic ones. We prove that Schr\"odinger operators with singular Gordon potentials have no point spectrum and show that a rich class of quasiperiodic distributions consists of singular Gordon potentials.
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