
We investigate a numerical method for studying resonances in quantum mechanics. We prove rigorously that this method yields accurate approximations to resonance energies and widths for shape resonances in the semiclassical limit.
semiclassical limit, numerical method, FOS: Physical sciences, Quantum scattering theory, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 530, quantun mechanics, 81Q05, 510, energies and widths, Software, source code, etc. for problems pertaining to quantum theory, Scattering theory for PDEs, shape resonances, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis
semiclassical limit, numerical method, FOS: Physical sciences, Quantum scattering theory, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 530, quantun mechanics, 81Q05, 510, energies and widths, Software, source code, etc. for problems pertaining to quantum theory, Scattering theory for PDEs, shape resonances, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis
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