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Q: Fachverband Quantenoptik und Photonik

Q 59: Quantum Effects: Interference and Correlations

Q 59.6: Talk

Friday, March 18, 2011, 11:45–12:00, SCH A01

Trapping particles in bent waveguides — •Emerson Sadurni and Wolfgang Schleich — Institut fuer Quantenphysik, Ulm Universitaet, Albert-Einstein Allee 11 89081 Ulm - Germany

Is it possible to trap a quantum particle in an open geometry? In this work we deal with the boundary value problem of the stationary Schroedinger (or Helmholtz) equation within a waveguide with straight segments which form a sharp angle. We show that the presence of bound states, which has no counterpart in a ray-tracing picture, originates from the diffracting boundary alone. Conformal mapping proves to be useful in the derivation of analytic results. An analogy with a problem involving rigid molecules is established.