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Journal of Mathematical Chemistry

, Volume 50, Issue 5, pp 1079–1090 | Cite as

Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals

  • A. I. Aptekarev
  • J. S. Dehesa
  • P. Sánchez-Moreno
  • D. N. Tulyakov
Original Paper

Abstract

The momentum entropic moments and Rényi entropies of a one-dimensional particle in an infinite well potential are found by means of explicit calculations of some Dirichlet-like trigonometric integrals. The associated spreading lengths and quantum uncertainty-like sums are also provided.

Keywords

Information-theoretic measures Quantum infinite well Rényi entropy Rényi spreading length 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • A. I. Aptekarev
    • 1
  • J. S. Dehesa
    • 2
    • 3
  • P. Sánchez-Moreno
    • 2
    • 4
  • D. N. Tulyakov
    • 1
  1. 1.Keldysh Institute for Applied Mathematics, Russian Academy of SciencesMoscow State UniversityMoscowRussia
  2. 2.Institute “Carlos I” for Computational and Theoretical PhysicsUniversity of GranadaGranadaSpain
  3. 3.Department of Atomic, Molecular and Nuclear PhysicsUniversity of GranadaGranadaSpain
  4. 4.Department of Applied MathematicsUniversity of GranadaGranadaSpain

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