Phys. Rev. B 45, 14100–14107 (1992)Bound states in twisting tubesReceived 25 November 1991; published in the issue dated 15 June 1992 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. © 1992 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.45.14100
DOI:
10.1103/PhysRevB.45.14100
PACS:
73.20.Dx, 03.65.Ge, 84.40.Sr
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.