Selected Topological Effects of Quantum Mechanics

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


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.


Wave Function Magnetic Flux Topological Effect Total Magnetic Flux Toroidal Moment 
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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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