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Transformations on Bounded Observables Preserving Measure of Compatibility

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Abstract

In this paper we describe the structure of all bijective nonlinear maps on the space of all bounded self-adjoint operators acting on a complex separable Hilbert space of dimension at least 3 which preserve a measure of commutativity, namely, the norm of the commutator of operators.

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Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, 4010, Debrecen, P.O. Box 12, Hungary

    Lajos Molnár

  2. Institut für Analysis, Technische Universität Dresden, 01062, Dresden, Germany

    Werner Timmermann

Authors
  1. Lajos Molnár
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  2. Werner Timmermann
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Corresponding author

Correspondence to Lajos Molnár.

Additional information

The first author was supported by the Alexander von Humboldt Foundation (Germany), by the Hungarian Scientific Research Fund (OTKA) K81166 NK81402, and by the TÁMOP 4.2.1./B-09/1/KONV-2010-0007 project implemented through the New Hungary Development Plan co-financed by the European Social Fund and the European Regional Development Fund.

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Molnár, L., Timmermann, W. Transformations on Bounded Observables Preserving Measure of Compatibility. Int J Theor Phys 50, 3857–3863 (2011). https://doi.org/10.1007/s10773-011-0771-5

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  • DOI: https://doi.org/10.1007/s10773-011-0771-5

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