论文标题
粒子在振荡硬壁球形陷阱中的量子几何相的影响
Effects of quantum geometric phase of a particle in an oscillating hard-wall spherical trap
论文作者
论文摘要
在两种不同的情况下，我们获得了球形无限电位孔中粒子状态的几何阶段。首先，当井的半径单调增加（或减小）时。其次，当半径改变振荡时。在后一种情况下，我们解决了Schrodinger方程，并大约找到了其溶液。 {我们在声学案例中获得了可能的真实情况的过渡速率，这可以揭示几何阶段的影响。我们表明，如果入射光子和通过几何阶段的两个水平的修改能量差之间的能量差距等于振荡频率的整数倍数，则将出现吸收或辐射峰。
We obtain the geometric phase for states of a particle in a spherical infinite potential well with a moving wall in two different cases; First, when the radius of the well increases (or decreases) monotonically. Second, when the radius changes oscillatory. In the latter case, we have solved the Schrodinger equation and found its solutions approximately. {We obtain the transition rate for the possible real situation in an acousto-optic case which can reveal the effect of the geometric phase. We show that the absorption or radiation peaks will appear if the energy gap between the incident photon and the modified energy difference of two levels by the geometric phase, is equal to the integer multiple of oscillation frequency.
