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Selected Topological Effects of Quantum Mechanics

  • G. N. Afanasiev
Part of the Fundamental Theories of Physics book series (FTPH, volume 107)

Abstract

Let us consider the scattering of the charged spinless particles on an impenetrable cylinder C of radius R, whose axis coincides with the z axis (Figure 7.1). The wave function and the scattering amplitude are: where ρ,ϕ,z are the cylindrical coordinates, J m and are the cylindrical functions, and k2 = 2μE2. Clearly Ψ0 disappears for r = R. This guarantees the impenetrability of the cylinder C.

Keywords

Wave Function Magnetic Flux Topological Effect Total Magnetic Flux Toroidal Moment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • G. N. Afanasiev
    • 1
  1. 1.Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubna, MoscowRussia

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