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The Lambert–Tsallis Wq function

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  • da Silva, G.B.
  • Ramos, R.V.

Abstract

In the present work, we introduce the Lambert–Tsallis Wq function. It is a generalization of the Lambert W function, that solves the equation Wq(z)expq(Wq(z)) = z, where expq(z) is the q-exponential used by Tsallis in nonextensive statistical mechanics. Here, we show some analytical results and its numerical calculation. We also introduce the disentropy, a function based on Wq that plays the opposite role of the entropy. At last, we use the disentropy for calculation of the disentanglement of two-qubit states.

Suggested Citation

  • da Silva, G.B. & Ramos, R.V., 2019. "The Lambert–Tsallis Wq function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 164-170.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:164-170
    DOI: 10.1016/j.physa.2019.03.046
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    References listed on IDEAS

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    1. Yamano, Takuya, 2002. "Some properties of q-logarithm and q-exponential functions in Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(3), pages 486-496.
    2. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
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    Cited by:

    1. da Silva, J.L.M. & Mendes, F.V. & Ramos, R.V., 2019. "Radial basis function network using Lambert–Tsallis Wq function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Ramos, R.V., 2020. "The Rq,Q function and the q-Diode," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).

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