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Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones. (English) Zbl 1269.81050

MSC:
81Q37 Quantum dots, waveguides, ratchets, etc.
35P20 Asymptotic distributions of eigenvalues in context of PDEs
47F05 General theory of partial differential operators (should also be assigned at least one other classification number in Section 47-XX)
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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