E. B. Davies
Abstract
We prove that non–self–adjoint harmonic and anharmonic oscillator operators have non–trivial pseudo–spectra. As a consequence, the computation of high–energy resonances by the dilation analyticity technique is not numerically stable.
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We prove that non–self–adjoint harmonic and anharmonic oscillator operators have non–trivial pseudo–spectra. As a consequence, the computation of high–energy resonances by the dilation analyticity technique is not numerically stable.
Key concepts: Anharmonicity, Harmonic oscillator, Spectral line, Computation, Physics, Harmonic, Dilation (metric space), Quantum mechanics