Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1998-03-31
Schrödinger Operators with Moving Point Perturbations and Related Solvable Models of Quantum Mechanical SystemsV.A. Geyler and I.V. Chudaev (1) Ogarev University Mordovia, Saransk, Russian Federation
(2) Ogarev University Mordovia, Saransk, Russian Federation
A class of explicitly solvable models including those of low-dimensional systems in a magnetic field is considered. The spectral analysis of these models is reduced to the investigation of the spectrum of an ordinary differential operator perturbed by a point potential with varying support. The complete analysis of the variation of the eigenvalues and elgenfunctions with position of the potential support is given.
Keywords: Schrödinger operators, point perturbation, low-dimensional systems in a magnetic field, impurity in a well
Geyler V.A., Chudaev I.V.: Schrödinger Operators with Moving Point Perturbations and Related Solvable Models of Quantum Mechanical Systems. Z. Anal. Anwend. 17 (1998), 37-55. doi: 10.4171/ZAA/807