Characteristics of the Wave Function of Coupled Oscillators in Semiquantum Chaos
Abstract
Using the method of adiabatic invariants and the Born-Oppenheimer approximation, we have successfully got the excited-state wave functions for a pair of coupled oscillators in the so-called semiquantum chaos. Some interesting characteristics in the Fourier spectra of the wave functions and its Correlation Functions in the regular and chaos states have been found, which offers a new way to distinguish the regular and chaotic states in quantum system.
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