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Generalized Orthogonality Relations and SU(1,1)-Quantum Tomography

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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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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Genova and INFN, Sezione di Genova, Via Dodecaneso, 33, 16146, Genova, Italy

    C. Carmeli & G. Cassinelli

  2. Dipartimento di Matematica, Università di Genova and INFN, Sezione di Genova, Via Dodecaneso, 35, 16146, Genova, Italy

    F. Zizzi

Authors
  1. C. Carmeli
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  2. G. Cassinelli
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  3. F. Zizzi
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Corresponding author

Correspondence to G. Cassinelli.

Additional information

We are very pleased to dedicate this paper to Pekka Lahti, for his sixtieth birthday. In particular, one of us (G.C.) would like to remember a long lasting fraternal friendship that goes well beyond the (rather narrow) borders of Quantum Mechanics.

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Carmeli, C., Cassinelli, G. & Zizzi, F. Generalized Orthogonality Relations and SU(1,1)-Quantum Tomography. Found Phys 39, 521–549 (2009). https://doi.org/10.1007/s10701-009-9290-0

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  • DOI: https://doi.org/10.1007/s10701-009-9290-0

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