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Q: Quantenoptik
Q 28: Quantum Effects III
Q 28.4: Talk
Thursday, April 5, 2001, 18:15–18:30, H 3010
Quantum anti-centrifugal force — •Markus Cirone1, Kazimierz Rzazewski2, Wolfgang Schleich1, Frank Straub1, and John Wheeler3 — 1Abteilung fur Quantenphysik, Universitat Ulm, D-89069 Ulm, Germany — 2Center for Theoretical Physics, Polish Academy of Sciences, and College of Science, Al. Lotnikow 32/46, 02-668 Warsaw, Poland — 3Department of Physics, Princeton University, Princeton, NJ 08544, USA
In a two-dimensional world a free quantum particle with zero angular momentum experiences an attractive potential. This quantum modification of the centrifugal potential is unique to the two-dimensional space. For positive energies the attractive force manifests itself in a bunching of the nodes of the wave function towards the origin. For negative energies this force creates a bound state. This bound state is supported by a two-dimensional delta function potential at the origin and localizes the particle in a ring-shaped domain.