Pseudospectra, the Harmonic Oscillator and Complex Resonances

نویسنده

  • E B Davies
چکیده

We prove that non-self-adjoint harmonic and anharmonic oscillator operators have non-trivial pseudospectra. As a consequence, the computation of high energy resonances by the dilation analyticity technique is not numerically stable.

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تاریخ انتشار 1998