Bound states in twisting tubes
- 15 June 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 45 (24), 14100-14107
- https://doi.org/10.1103/physrevb.45.14100
Abstract
The wave equation subject to Dirichlet boundary conditions has a bound state in an infinite tube of constant cross section in any number of dimensions, provided that the tube is not exactly straight. We prove this result, develop Green’s-function methods to find the energy eigenvalue, and solve some simple cases. We discuss the implications for quantum systems and electromagnetic waveguides.Keywords
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