Existence of bound states in quantum waveguides under weak conditions
- Cite this article as:
- Renger, W. & Bulla, W. Lett Math Phys (1995) 35: 1. doi:10.1007/BF00739151
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.