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.