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Showing 1 to 3 of 3 for “"Schrödinger operator"”.
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Geometrical approximation methods for the discrete spectra of Schrödinger operators
… reliable bounds for the eigenvalues of the Schrödinger operator [Special characters omitted.] . We introduce a three-parameter variational function, to determine an upper bound to the ground-state energy, of the supersingular spiked harmonic oscillator potentials [Special characters …
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Vague convergence of spectral shift functions for periodic restrictions of one-dimensional Schrodinger operators
… with self-adjoint one-dimensional Schr\"odinger operators on intervals of the form $(-\ell,\ell)$ with periodic boundary conditions to the full-line spectral shift function in the infinite volume limit $\ell\to \infty$. The approach employed relies on the use of a Krein-type resolvent …
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Krein's identity and trace formulas for half-line Schrodinger operators
… consider self-adjoint extensions of the minimal operator generated by the differential expression $\cL = - d^2/dx^2+V$ on the half-line $[0,\infty)$, where $V$ is a real-valued function integrable with respect to the weight $1+x$. The self-adjoint extensions are of Schr\"odinger-type and form a …