Eigenvalue Asymptotics in a Twisted Waveguide

Details Eigenvalue Asymptotics in a Twisted Waveguide Eigenvalue Asymptotics in a Twisted Waveguide

2008-08-11

arxiv.org/abs/0808.1528v2

Mathematics

Spectral Theory

18 pages

Scientific paper

We consider a twisted quantum wave guide, and are interested in the spectral
analysis of the associated Dirichlet Laplacian H. We show that if the
derivative of rotation angle decays slowly enough at infinity, then there is an
infinite sequence of discrete eigenvalues lying below the infimum of the
essential spectrum of H, and obtain the main asymptotic term of this sequence.

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