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Connection between Group Based Quantum Tomography and Wavelet Transform in Banach Spaces

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Abstract

The intimate connection between the Banach space wavelet reconstruction method for each unitary representation of a given group and some of well known quantum tomographies, such as: tomography of rotation group, Spinor tomography and tomography of Unitary group, is established. Also both the atomic decomposition and Banach frame nature of these quantum tomographic examples is revealed in details.

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Authors and Affiliations

  1. Department of Physics, Arak University, Arak, Iran

    M. Mirzaee & M. Rezaei

  2. Institute for Studies in Theoretical Physics and Mathematics, Tehran, 19395-1795, Iran

    M. Mirzaee, M. Rezaei & M. A. Jafarizadeh

  3. Research Institute for Fundamental Sciences, Tabriz, 51664, Iran

    M. A. Jafarizadeh

Authors
  1. M. Mirzaee
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  2. M. Rezaei
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  3. M. A. Jafarizadeh
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Correspondence to M. Mirzaee.

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Mirzaee, M., Rezaei, M. & Jafarizadeh, M.A. Connection between Group Based Quantum Tomography and Wavelet Transform in Banach Spaces. Int J Theor Phys 46, 2326–2338 (2007). https://doi.org/10.1007/s10773-007-9351-0

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  • DOI: https://doi.org/10.1007/s10773-007-9351-0

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