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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Discrete spectrum of Schroedinger operators with oscillating decaying potentials
![]() Discrete spectrum of Schroedinger operators with oscillating decaying potentialsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Mustapha Amrani. Periodic and Ergodic Spectral Problems We consider the Schroedinger operator $H_{ta W} = -Delta + ta W$, self-adjoint in $L2(Rd)$, $d geq 1$. Here $ta$ is a non constant almost periodic function, while $W$ decays slowly and regularly at infinity. We study the asymptotic behaviour of the discrete spectrum of $H_{ta W}$ near the origin, and due to the irregular decay of $ta W$, we encounter some non semiclassical phenomena; in particular, $H_{ta W}$ has less eigenvalues than suggested by the semiclassical intuition. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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