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

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• 作者：A. I. Aptekarev (1) aptekaa@keldysh.ru
  J. S. Dehesa (23) dehesa@ugr.es
  P. Sánchez-Moreno (24) pablos@ugr.es
  D. N. Tulyakov (1) dnt@mail.nnov.ru
• 关键词：Information ; theoretic measures – Quantum infinite well – Rényi entropy – Rényi spreading length
• 刊名：Journal of Mathematical Chemistry
• 出版年：2012
• 出版时间：May 2012
• 年：2012
• 卷：50
• 期：5
• 页码：1079-1090
• 全文大小：177.1 KB
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• 作者单位：1. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow State University, Moscow, Russia2. Institute “Carlos I-for Computational and Theoretical Physics, University of Granada, Granada, Spain3. Department of Atomic, Molecular and Nuclear Physics, University of Granada, Granada, Spain4. Department of Applied Mathematics, University of Granada, Granada, Spain
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Chemistry
  Physical Chemistry
  Theoretical and Computational Chemistry
  Mathematical Applications in Chemistry
  
• 出版者：Springer Netherlands
• ISSN：1572-8897

文摘

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.