振荡硬壁球形阱中粒子量子几何相位的影响

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2023-06-13 DOI:10.1007/s12043-023-02564-7

Reza Moazzemi, Seyed Mahdi Fazeli

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引用次数: 0

摘要

我们在两种不同的情况下得到了具有运动壁面的球形无限势阱中粒子状态的几何相位:第一种情况是，当井的半径单调增加(或减少)时。其次，当半径发生振荡变化时。在后一种情况下，我们解出了Schrödinger方程，并近似地求出了它的解。我们得到了声光情况下可能实际情况下的跃迁速率，可以揭示几何相位的影响。结果表明，当入射光子与经几何相位修正的两能级能差之间的能隙等于振荡频率的整数倍时，会出现吸收峰或辐射峰。

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Effects of quantum geometric phase of a particle in an oscillating hard-wall spherical trap

We obtained the geometric phase for states of a particle in a spherical infinite potential well with moving walls in two different cases: First, when the radius of the well increases (or decreases) monotonically. Secondly, when the radius changes are oscillatory. In the latter case, we have solved the Schrödinger equation and found its solutions approximately. We obtained 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.

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.