Spectral and scattering theory for the adiabatic oscillator and related potentials. (English) Zbl 0422.35064
MSC:
35P25 | Scattering theory for PDEs |
34L99 | Ordinary differential operators |
34E20 | Singular perturbations, turning point theory, WKB methods for ordinary differential equations |
35J10 | Schrödinger operator, Schrödinger equation |
47A40 | Scattering theory of linear operators |
Keywords:
Schrödinger operator; absolutely continuous spectrum; wave operators; oscillating potentials; unitary equivalence; adiabatic oscillator; essential spectrumReferences:
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