Geometric coupling thresholds in a two-dimensional strip

Details Geometric coupling thresholds in a two-dimensional strip Geometric coupling thresholds in a two-dimensional strip

2002-06-18

arxiv.org/abs/quant-ph/0206113v1

Journal of Mathematical Physics. 2002. V. 43. No. 12. P. 6265-6278.

Physics

Quantum Physics

Scientific paper

10.1063/1.1519941

We consider the Laplacian in a strip $\mathbb{R}\times (0,d)$ with the boundary condition which is Dirichlet except at the segment of a length $2a$ of one of the boundaries where it is switched to Neumann. This operator is known to have a non-empty and simple discrete spectrum for any $a>0$. There is a sequence $0

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