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Generalized entropy as a measure of quantum uncertainty

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  • Portesi, M
  • Plastino, A

Abstract

A generalized entropy is used in order to advance a different form of expressing the Uncertainty Principle of Quantum mechanics. We consider the generalized entropic formulation for different pairs of incompatible observables. In particular, we study the number-phase entropic uncertainty measure for the case of coherent states within the Pegg-Barnett theory. We also tackle the situation of operators with continuous spectra, where a correlation functional is calculated in terms of generalized joint and marginal entropies, for harmonic oscillator wavefunctions.

Suggested Citation

  • Portesi, M & Plastino, A, 1996. "Generalized entropy as a measure of quantum uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(3), pages 412-430.
    • Handle: RePEc:eee:phsmap:v:225:y:1996:i:3:p:412-430
    DOI: 10.1016/0378-4371(95)00475-0
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    References listed on IDEAS

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    1. Mizrahi, Salomon S. & Marchiolli, Marcelo A., 1993. "Pseudo-diffusion equation and information entropy of squeezed-coherent states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(1), pages 96-115.
    2. Hassan, S.A. & Kuperman, M.N. & Wio, H.S. & Zanette, D.H., 1994. "Evolution of reaction-diffusion patterns in infinite and bounded domains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 380-400.
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    Citations

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    Cited by:

    1. Zozor, Steeve & Portesi, Mariela & Vignat, Christophe, 2008. "Some extensions of the uncertainty principle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4800-4808.
    2. Deng, Xinyang & Deng, Yong, 2014. "On the axiomatic requirement of range to measure uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 163-168.
    3. Jauregui, M. & Zunino, L. & Lenzi, E.K. & Mendes, R.S. & Ribeiro, H.V., 2018. "Characterization of time series via Rényi complexity–entropy curves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 498(C), pages 74-85.
    4. Guha, Atanu & Das, Prasanta Kumar, 2018. "An extensive study of Bose–Einstein condensation in liquid helium using Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 272-284.

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