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

Reza MoazzemiSeyed Mahdi Fazeli
Dec 2022
摘要
We obtain the geometric phase for states of a particle in a sphericalinfinite potential well with a moving wall in two different cases; First, whenthe radius of the well increases (or decreases) monotonically. Second, when theradius changes oscillatory. In the latter case, we have solved the Schrodingerequation and found its solutions approximately. {We obtain the transition ratefor the possible real situation in an acousto-optic case which can reveal theeffect of the geometric phase. We show that the absorption or radiation peakswill appear if the energy gap between the incident photon and the modifiedenergy difference of two levels by the geometric phase, is equal to the integermultiple of oscillation frequency.
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