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Amar Rauf: On reflectionless isoscattering matrices

Tid: Fr 2013-04-26 kl 10.00

Plats: Room 32, building 5, Kräftriket, Department of mathematics, Stockholm university

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Hermitian Reflectionless Isoscattering matrices (RI-matrices) are studied. These are unitary matrices with zeros along the diagonal and whose nondiagonal entries all have the same absolute value. It is proven that such matrices are absent if the dimension is odd. A complete description of all such matrices in dimensions 2, 4 and 6 is given.