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Open Quantum Systems Decoherence
Soft quantum waveguides with an explicit cut-locus
arXiv
Authors: Sylwia Kondej, David Krejcirik, Jan Kriz
Year
2020
Paper ID
22061
Status
Preprint
Abstract Read
~2 min
Abstract Words
82
Citations
N/A
Abstract
We consider two-dimensional Schroedinger operators with an attractive potential in the form of a channel of a fixed profile built along an unbounded curve composed of a circular arc and two straight semi-lines. Using a test-function argument with help of parallel coordinates outside the cut-locus of the curve, we establish the existence of discrete eigenvalues. This is a special variant of a recent result of Exner in a non-smooth case and via a different technique which does not require non-positive constraining potentials.
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- We consider two-dimensional Schroedinger operators with an attractive potential in the form of a channel of a fixed profile built along an unbounded curve composed of a...
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