Hui YW, Dong J, Xing DY. Characteristics of the wave function of coupled oscillators in semiquantum chaos.
PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000;
62:6318-24. [PMID:
11101965 DOI:
10.1103/physreve.62.6318]
[Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/24/2000] [Indexed: 11/07/2022]
Abstract
Using the method of adiabatic invariants and the Born-Oppenheimer approximation, we have calculated the ground-state wave function of a pair of coupled oscillators in so-called semiquantum chaos. Some interesting characteristics, e.g., the similarities and differences between the wave functions in the regular and chaotic states have been found. Time-correlation functions of the wave functions and their Fourier spectra in two states have also been investigated. The sensitivity of the wave function in the chaotic state to the initial conditions has been identified.
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