Publication | Closed Access
ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT
44
Citations
8
References
2002
Year
Spectral TheoryQuantum ScienceAsymptotic BehaviorQuantum Lattice SystemEngineeringPhysicsApplied PhysicsCondensed Matter PhysicsDisordered Quantum SystemAbstract Let ω0Quantum ChaosFunctional AnalysisBand-gap Structure
ABSTRACT Let Ω0 be a domain in the cube , and let be a function that equals 1 inside Ω0, equals τ in , and that is extended periodically to R n . It is known that, in the limit , the spectrum of the operator exhibits the band-gap structure. We establish the asymptotic behavior of the density of states function in the bands.
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