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 = 2μE/ħ2. Clearly Ψ0 disappears for r = R. This guarantees the impenetrability of the cylinder C.
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© 1999 Springer Science+Business Media Dordrecht
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Afanasiev, G.N. (1999). Selected Topological Effects of Quantum Mechanics. In: Afanasiev, G.N. (eds) Topological Effects in Quantum Mechanics. Fundamental Theories of Physics, vol 107. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4639-5_7
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DOI: https://doi.org/10.1007/978-94-011-4639-5_7
Publisher Name: Springer, Dordrecht
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