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Completely positive maps on the CCR-algebra

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Abstract

Given any operator on the testfunction space, the general form of the induced completely positive map of the C *-algebra of the canonical commutation relations is characterized.

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References

  1. ManuceauJ., SirugueM., TestardD., and VerbeureA., Comm. Math. Phys. 32, 231 (1973).

    Google Scholar 

  2. Evans, D.E. and Lewis, J.T., ‘Some Semi-Groups of Completely Positive Maps on the CCR-Algebra’, preprint DIAS-TP-76-14.

  3. ArvesonW.B., Acta Mathematica 123, 141 (1969).

    Google Scholar 

  4. PulèJ.V. and VerbeureA., J. Math. Phys. 18, 5 (1977).

    Google Scholar 

  5. ManuceauJ., Anal. Inst. Henri Poincaré 8, 139 (1968).

    Google Scholar 

  6. FannesM., Comm. Math. Phys. 51, 55 (1976).

    Google Scholar 

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Postal address: Instituut voor Theoretische Fysica, KUL, Celestijnenlaan 200 D, B-3030 Heverlee, Belgium.

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Demoen, B., Vanheuverzwijn, P. & Verbeure, A. Completely positive maps on the CCR-algebra. Lett Math Phys 2, 161–166 (1977). https://doi.org/10.1007/BF00398582

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  • DOI: https://doi.org/10.1007/BF00398582

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