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I. S. Gradshteyn and I. M. Ryzhik, “Table of Integrals, Series, and Products,” Edited by A. Jeffrey and D. Zwillinger, 4th Edition, Academic Press, New York, 1994.

has been cited by the following article:

• TITLE: Macroscopic Quantum Behaviour of Periodic Quantum Systems

  AUTHORS: A. Martín-Ruiz, J. Bernal, Adrián Carbajal-Domínguez

  KEYWORDS: Matrix Density; Quantum Interference; Classical Limits

  JOURNAL NAME: Journal of Modern Physics, Vol.5 No.1, January 22, 2014

  ABSTRACT: In this paper we introduce a simple procedure for computing the macroscopic quantum behaviour of periodic quantum systems in the high energy regime. The macroscopic quantum coherence is ascribed to a one-particle state, not to a condensate of a many-particle system; and we are referring to a system of high energy but with few degrees of freedom. We show that, in the first order of approximation, the quantum probability distributions converge to its classical counterparts in a clear fashion, and that the interference effects are strongly suppressed. The harmonic oscillator provides a testing ground for these ideas and yields excellent results.