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运用推广了的量子不变量理论研究时间演化算符的对角化问题,证明了时间演化算符的对角化与相因子之间存在着紧密的联系。作为一个例子,研究了离子在联合量子阱中的量子运动及其经典对应,并讨论了离子运动的稳定性。The generalized invariant theory is used to study the problem of the diagonalization of the time-evolution operator. It is shown that there is an intimate connection between the diagonalization of the time-evolution operator and the phase factors. As an illustrative example, the quantum motion of an ion in a combined trap is investigated; the classical correspondence of the quantum motion and the stability problem are then discussed.
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