超越对应原理的量子核转动图象
Pictures of quantum nuclear rotation beyond the correspondence principle
摘要:
我们分析了简单核旋转波包(圆形、线性和椭圆形)随压缩参数$η$的时间演化,假设$E=\hbarω_0 I(I+1)$。由Averbukh和Perelman发现的分数复苏的情况下,适用于对称WP和相比,这适用于不对称WP。在这两种情况下,在这些线条下识别出各种形状,特别是在许多克隆的情况下。“变种人”WP最常见。最后给出了用半经典理论计算的$^{238}$ U上库仑激发形成的WP的时间演化。
英文摘要:
We analyze the time evolution of simple nuclear rotational wave packets (WP) called circular, linear or elliptic, depending on squeezing parameter $η$, assuming that $E=\hbarω_0 I(I+1)$. The scenario of fractional revivals found by Averbukh and Perelman is adapted to symmetric WP and compared to that which holds for asymmetric WP. In both cases various shapes are identified under these lines in particular many cases of cloning. 'Mutants' WP are found most often. Finally the time evolution of a WP formed by Coulomb excitation on $^{238}$U and calculated by semiclassical theory is also presented.
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