Scattering in the Poincaré Disk and in the Poincaré Upper Half-Plane
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Abstract We investigate the scattering of a plane wave in the hyperbolic plane. We formulate the problem in terms of the Lippmann-Schwinger equation and solve it exactly for barriers modeled as Dirac delta functions running along: (i) N−horizontal lines in the Poincaré upper half-plane; (ii) N− concentric circles centered at the origin; and, (iii) a hypercircle in the Poincaré disk.
2018 ◽
Vol 22
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pp. 665-672
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1982 ◽
Vol 34
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pp. 806-815
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1969 ◽
Vol 51
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pp. 2359-2362
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2004 ◽
Vol 376
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pp. 45-67
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2008 ◽
Vol 60
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pp. 975-1000
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