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On the solution of a “2D Coulomb + Aharonov-Bohm” problem: oscillator strengths in the discrete spectrum and scattering

✍ Scribed by H. T. T. Nguyen; P. A. Meleshenko; A. V. Dolgikh; A. F. Klinskikh


Book ID
111630325
Publisher
Springer
Year
2011
Tongue
English
Weight
473 KB
Volume
62
Category
Article
ISSN
1434-6060

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We extend previous results for the Neumann boundary value problem to the case of boundary data from the space H -1 2 +e (C), 0<e< 1 2 , where C = \*X is the boundary of a two-dimensional cone X with angle b<p. We prove that for these boundary conditions the solution of the Helmholtz equation in X ex