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quant-ph2002★ 1 cited
Unpredictability of wave function's evolution in nonintegrable quantum systems
I. B. Ivanov
It is shown that evolution of wave functions in nonintegrable quantum systems is unpredictable for a long time T because of rapid growth of number of elementary computational opera…
quant-ph2001★ 1 cited
The critical perturbation parameter estimate for the transition from regularity to chaos in quantum systems
V. E. Bunakov, I. B. Ivanov, R. B. Panin
In this paper we continue to develop our approach to the chaoticity properties of the quantum Hamiltonian systems. Our earlier suggested chaoticity criterion characterizes the init…
quant-ph2001
Approximate integrals of motion and the quantum chaoticity problem
V. E. Bunakov, I. B. Ivanov
The problem of existence and constructing of integrals of motion in stationary quantum mechanics and its connection with quantum chaoticity is discussed. It is shown that the earli…