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Existence of bound states in quantum waveguides under weak conditions

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Abstract

The existence of bound states in a plane quantum waveguide is proved under weak conditions: Within a bounded set a more general shape than a curved parallel strip is admitted and the curvature of the reference curve need not be differentiable. Furthermore, no upper bound for the width of the strip is required.

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Renger, W., Bulla, W. Existence of bound states in quantum waveguides under weak conditions. Lett Math Phys 35, 1–12 (1995). https://doi.org/10.1007/BF00739151

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  • DOI: https://doi.org/10.1007/BF00739151

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