Resonances for matrix Schrödinger operators. (English) Zbl 1258.35068

Summary: We study the resonances of matrix Schrödinger operators, motivated by the Born-Oppenheimer approximation. We give a simple criterion for the potential to generate resonances. This criterion also gives the location of the resonances generated.


35J10 Schrödinger operator, Schrödinger equation
35A20 Analyticity in context of PDEs
35P05 General topics in linear spectral theory for PDEs
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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