First principle calculations of quantum chaos and its self-organisation in the framework of ID model of random quantum reactive harmonic oscillator
The difference between regular and chaotic behavior of quantum systems is evaluated on the example of quantum 1D oscillator. For the computation of the evolution of such a system closed form functional integral representation is constructed. Due to the positive measure of this representation and existence of group property for the evolution operator it is possible to realize absolutely parallel algorithm for its computation. The analysis of the results makes it possible to investigate chaos and self-organization in quantum systems.
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