Spectral Asymptotics of the Non-self-adjoint Harmonic Oscillator

نویسنده

  • E. B. Davies
چکیده

We obtain an explicit asymptotic formula for the norms of the spectral projections of the non-self-adjoint harmonic oscillator H. We deduce that the spectral expansion of e−Ht is norm convergent if and only if t is greater than a certain explicit positive constant.

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تاریخ انتشار 2003