Asymptotic distribution of resonances in one dimension. (English) Zbl 0955.35057

Summary: We determine the leading asymptotics of the resonance counting function for a class of Schrödinger operators in one dimension whose potentials may have non-compact support, i.e. is super-exponentially decreasing.


35P20 Asymptotic distributions of eigenvalues in context of PDEs
35J10 Schrödinger operator, Schrödinger equation
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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