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Rényi entropy of the U(3) vibron model

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Abstract

Rényi entropies and variances are determined in the vibron model. They provide a sharp detector for the quantum (shape) phase transition (from linear to bent) at the critical value ξ c of a control parameter ξ. Numerical results are complemented and compared with a variational approximation in terms of parity-symmetry-adapted coherent (Schödinger’s catlike) states, which provide a good approximation to describe delocalization properties of the ground state of vibron models across the critical point for N-size molecules.

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Authors and Affiliations

  1. Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071, Granada, Spain

    E. Romera & Á. Nagy

  2. Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, Fuentenueva s/n, 18071, Granada, Spain

    E. Romera & R. del Real

  3. Departamento de Matemática Aplicada, Universidad de Granada, Fuentenueva s/n, 18071, Granada, Spain

    M. Calixto

  4. Department of Theoretical Physics, University of Debrecen, 4010, Debrecen, Hungary

    S. Nagy & Á. Nagy

  5. MTA-DE Research Group in Particle Physics, P.O. Box 105, 4010, Debrecen, Hungary

    S. Nagy

Authors
  1. E. Romera
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  2. R. del Real
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  3. M. Calixto
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  4. S. Nagy
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  5. Á. Nagy
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Correspondence to E. Romera.

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Romera, E., del Real, R., Calixto, M. et al. Rényi entropy of the U(3) vibron model. J Math Chem 51, 620–636 (2013). https://doi.org/10.1007/s10910-012-0106-7

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  • DOI: https://doi.org/10.1007/s10910-012-0106-7

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