氢原子Klauder时间稳定相干态的色散
Dispersion of Klauder's temporally stable coherent states for the hydrogen atom
摘要:
研究了Klauder引入的氢原子的“时间稳定”相干态的色散。这些是在氢原子哈密顿量的时间演化下保持其相干性质的状态。我们表明,在氢原子中,这样的波包不准经典地移动;即,它们不遵循经典电子的开普勒轨道,没有或只有很小的色散。
英文摘要:
We study the dispersion of the "temporally stable" coherent states for the hydrogen atom introduced by Klauder. These are states which under temporal evolution by the hydrogen atom Hamiltonian retain their coherence properties. We show that in the hydrogen atom such wave packets do not move quasi-classically; i.e., they do not follow with no or little dispersion the Keplerian orbits of the classical electron. The poor quantum-classical correspondence does not improve in the semiclassical limit.
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