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- W2029743345 abstract "It is shown that there exist bound states of the operator H±λ=−(d2/dx2) +∑m∈Zδ(⋅−(2m+1)π)±λW, W being an L1(−∞,+∞) non-negative function, in every sufficiently far gap of the spectrum of H0=−d2/dx2 +∑m∈Zδ(⋅−(2m+1)π). Such an operator represents the Schrödinger Hamiltonian of a Kronig–Penney-type crystal with a localized impurity. The analyticity of the greatest (resp. lowest) eigenvalue of Hλ (resp. H−λ) occurring in a spectral gap as a function of the coupling constant λ when W is assumed to have an exponential decay is also proven." @default.
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- W2029743345 date "1989-06-01" @default.
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- W2029743345 title "Spectral properties of the Kronig–Penney Hamiltonian with a localized impurity" @default.
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- W2029743345 doi "https://doi.org/10.1063/1.528320" @default.
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