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Relation of the tomographic representation of states to the bargmann representation of states

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Journal of Russian Laser Research Aims and scope

Abstract

We introduce some equivalent forms of a map realizing the connection between the Bargmann and tomographic representations of states and observables. We perform the same task for a dual tomographic map. In spite of the fact that, due to the analyticity of the Bargmann representation, there exist many forms for such a map, we restrict ourselves to integral transforms. To perform our calculations, we also introduce a new technique for disentangling the SU(1, 1)-group operators.

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Authors and Affiliations

  1. Physics Department Faculty of Science, I. K. I. University, Qazvin, I. R. Iran

    M. R. Bazrafkan, E. Nahvifard & E. Rafiepoor

Authors
  1. M. R. Bazrafkan
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  2. E. Nahvifard
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  3. E. Rafiepoor
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Correspondence to M. R. Bazrafkan.

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Bazrafkan, M.R., Nahvifard, E. & Rafiepoor, E. Relation of the tomographic representation of states to the bargmann representation of states. J Russ Laser Res 33, 176–185 (2012). https://doi.org/10.1007/s10946-012-9271-1

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  • DOI: https://doi.org/10.1007/s10946-012-9271-1

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