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Baker-Campbell-Hausdorff relations for finite-dimensional lie algebras

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Abstract

A method is proposed for disentangling exponentials of operators that belong to finite-dimensional Lie algebras. A straightforward matrix representation is combined with a widely used parameter-differentiation method, giving rise to a simpler and more systematic procedure. The SU(1, 1), SU(2) and double photon algebras are explicitly considered as illustrative examples.

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Authors and Affiliations

  1. División Química Teórica, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

    Julián Echave & Francisco M. Fernández

Authors
  1. Julián Echave
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  2. Francisco M. Fernández
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Additional information

Work partly supported by Fundación Antochas Project No. 1108911 and by the USA-Argentina Cooperative Research Project NSF INT-8802247 and CONICET No. 163/88.

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Echave, J., Fernández, F.M. Baker-Campbell-Hausdorff relations for finite-dimensional lie algebras. J Math Chem 9, 87–94 (1992). https://doi.org/10.1007/BF01172932

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  • DOI: https://doi.org/10.1007/BF01172932

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