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Welsh eigenvalues of radially periodic Schrödinger operators - MaRDI portal

Welsh eigenvalues of radially periodic Schrödinger operators (Q1270940)

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scientific article; zbMATH DE number 1218652
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Welsh eigenvalues of radially periodic Schrödinger operators
scientific article; zbMATH DE number 1218652

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    Welsh eigenvalues of radially periodic Schrödinger operators (English)
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    12 July 1999
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    The authors find conditions under which the radially periodic Schrödinger operator in \(L_2(\mathbb{R}^2)\), defined by \(T= -\Delta+ V\), where \(V(x)= q(| x|)\) and \(q\) is even and periodic, has a nonempty lower spectrum. The case when \(q(r)= \cos(r)\) (Welsh eigenvalues) is considered separately.
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    Welsh eigenvalues
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