Multiplicities of the Eigenvalues of the Discrete Schrödinger Equation in Any Dimension

نویسندگان

  • DAN BURGHELEA
  • THOMAS KAPPELER
چکیده

The following von Neumann-Wigner type result is proved: The set of potentials a: T —► R (r Ç ZN), with the property that the corresponding discrete Schrödinger equation A¿ + a has multiple eigenvalues when considered with certain boundary conditions, is an algebraic set of codimension> 2 within Rr.

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تاریخ انتشار 2010