Scattering in the pair of Hilbert spaces
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The problem of the scattering of a charged test particle in the gravitational background of axially symmetrical wormhole in the presence of the Aharonov-Bohm type magnetic field is considered. It is shown that the natural mathematical framework appropriate for the problem is the scattering theory in the pair of Hilbert spaces. Both relevant modified wave operators and $S$-matrices are found.
Talk given at the International Workshop dedicated to the 70th anniversary of Professor Walter Thirring's birth "Mathematical Physics -- today, Priority Technologies -- for tomorrow", Kiev, Ukraine, May 12-17, 1997, 11 pages, LaTeX209, added acknowledgments
Talk given at the International Workshop dedicated to the 70th anniversary of Professor Walter Thirring's birth "Mathematical Physics -- today, Priority Technologies -- for tomorrow", Kiev, Ukraine, May 12-17, 1997, 11 pages, LaTeX209, added acknowledgments