We present a mathematically precise derivation of some generalized orthogonality relations for the discrete series representations of SU(1; 1). These orthogonality relations are applied to derive tomographical reconstruction formulas. Their physical interpretation is also discussed.
Generalized orthogonality relations and SU(1,1)-quantum tomography
CARMELI, CLAUDIO;CASSINELLI, GIOVANNI;
2009
Abstract
We present a mathematically precise derivation of some generalized orthogonality relations for the discrete series representations of SU(1; 1). These orthogonality relations are applied to derive tomographical reconstruction formulas. Their physical interpretation is also discussed.
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