Welsh eigenvalues of radially periodic Schrödinger operators (Q1270940)

From MaRDI portal





scientific article; zbMATH DE number 1218652
Language Label Description Also known as
English
Welsh eigenvalues of radially periodic Schrödinger operators
scientific article; zbMATH DE number 1218652

    Statements

    Welsh eigenvalues of radially periodic Schrödinger operators (English)
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    12 July 1999
    0 references
    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.
    0 references
    Welsh eigenvalues
    0 references
    0 references

    Identifiers