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New proof of closed formulas for Bogoljubov boson transformations

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

The fact that the algebra of the operatorsb +2,b 2 and 2b+b+1 is closed is utilized for the derivation of closed formulas for Bogoljubov transformations by means of the previously developed technique for treating the angular momentum algebra.

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References

  • Tanabe, K.: J. Math. Phys.14, 618 (1973)

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  • Rashid, M. A.: J. Math. Phys.16, 378 (1975)

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  • Kelemen, A.: Submitted to American Journal of Physics

  • Tanabe, K., Sugawara-Tanabe, K.: Phys. Lett. B34, 575 (1971)

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Frankfurt, Germany

    A. Kelemen

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  1. A. Kelemen
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Additional information

The author wishes to thank Prof. Dr. R. Dreizler for many valuable discussions concerning methods of boson expansions wherein this work originated.

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Kelemen, A. New proof of closed formulas for Bogoljubov boson transformations. Z Physik A 274, 109–111 (1975). https://doi.org/10.1007/BF01408461

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  • DOI: https://doi.org/10.1007/BF01408461

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