Computing of the Ground State Energy of a Hydrogen Like Impurity in a Spherical Quantum Dot using QPSO Algorithm

M. Omran
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Abstract

In this work, quantum particle swarm optimization (QPSO1) algorithm method is applied to the problem of impurity at the center of a spherical quantum dot for infinite confining potential case. For this purpose, a trial variational wave function is considered for ground state, and then energy values are calculated as a function of the radius of a spherical quantum dot. Also, the evolution of the energy eigenvalue for different dot radii and different optimized parameter is determined. The energy converges remarkably fast, after a few numbers of iteration. In comparison with the two other available methods, standard variational procedure and genetic algorithm method (GA), the results coming out from QPSO algorithm are in more satisfactory agreement with the real values.
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用量子粒子群算法计算球形量子点中类氢杂质的基态能量
本文将量子粒子群优化(QPSO1)算法应用于无限限制势情况下球形量子点中心杂质问题。为此,考虑基态的试变分波函数,然后计算能量值作为球形量子点半径的函数。确定了不同点半径和不同优化参数下能量特征值的演化规律。经过几次迭代后,能量的收敛速度非常快。与标准变分法和遗传算法(GA)进行比较,QPSO算法得到的结果与实际值吻合较好。
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