Quantum anticentrifugal force

M. A. Cirone, K. Rza̧żewski, W. P. Schleich, F. Straub, and J. A. Wheeler
Phys. Rev. A 65, 022101 – Published 21 December 2001
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Abstract

In a two-dimensional world, a free quantum particle of vanishing angular momentum experiences an attractive force. This force originates from a modification of the classical centrifugal force due to the wave nature of the particle. For positive energies the quantum anticentrifugal force manifests itself in a bunching of the nodes of the energy wave functions towards the origin. For negative energies this force is sufficient to create a bound state in a two-dimensional δ-function potential. In a counterintuitive way, the attractive force pushes the particle away from the location of the δ-function potential. As a consequence, the particle is localized in a band-shaped domain around the origin.

  • Received 2 August 2001

DOI:https://doi.org/10.1103/PhysRevA.65.022101

©2001 American Physical Society

Authors & Affiliations

M. A. Cirone1, K. Rza̧żewski2, W. P. Schleich1, F. Straub1, and J. A. Wheeler3

  • 1Abteilung für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany
  • 2Center for Theoretical Physics, Polish Academy of Sciences, and College of Science, Al. Lotników 32/46, 02-668 Warsaw, Poland
  • 3Department of Physics and Astronomy, Princeton University, Princeton, New Jersey 08544

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Vol. 65, Iss. 2 — February 2002

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