Quantum quasiballistic dynamics and thick point spectrum View Full Text


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Article Info

DATE

2019-03-02

AUTHORS

Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira

ABSTRACT

We obtain dynamical lower bounds for some self-adjoint operators with pure point spectrum in terms of the spacing properties of their eigenvalues. In particular, it is shown that for systems with thick point spectrum, typically in Baire’s sense, the dynamics of each initial condition (with respect to some orthonormal bases of the space) presents a quasiballistic behaviour. We present explicit applications to some Schrödinger operators. More... »

PAGES

1-16

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URI

http://scigraph.springernature.com/pub.10.1007/s11005-019-01166-y

DOI

http://dx.doi.org/10.1007/s11005-019-01166-y

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https://app.dimensions.ai/details/publication/pub.1112503034


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