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Two-electron impurity in the parabolic quantum dot: Uncertainty relation and perturbation approach
Affiliation:1. Russian-Armenian (Slavonic) University, 123 Hovsep Emin St., Yerevan 0051, Armenia;2. Yerevan State University, 1 Alex Manoogian St., Yerevan 0025, Armenia;1. Department of Physics, Shahid Rajaee Teacher Training University, Lavizan, 16788-15811 Tehran, Iran;2. Department of Chemistry, Shahid Rajaee Teacher Training University, Lavizan, 16788-15811 Tehran, Iran;1. Center for Cloud Computing and Big Data, Department of Automation, Xiamen University, Xiamen 361005, China;2. Institute of Theoretical Physics and Astrophysics, Department of Physics, Xiamen University, Xiamen 361005, China;1. State Key Laboratory of Complex Electromagnetic Environmental Effects on Electronics and Information System, National University of Defense Technology (NUDT), Changsha 410073, China;2. Center for Optical and Electromagnetic Research, State Key Lab of MOI, Zhejiang University, Hangzhou 310058, China;1. Mechanical Engineering Department, Charotar University of Science and Technology, Changa, Gujarat, India;2. Mechatronics Engineering Department, G.H.Patel College of Engineering & Technology, Vallabh Vidyanagar, Gujarat, India;1. Department of Physics, Urmia Branch, Islamic Azad University, Urmia, Iran;2. Department of Solid State Physics, Yerevan State University, Al. Manoogian 1, 0025 Yerevan, Armenia;1. School of Applied Physics and Materials, Wuyi University, 22 Dongcheng Village, Jiangmen 529020, P.R. China;2. Department of Physics, Shanghai Maritime University, 1550 Haigang Avenue, Shanghai 201306, P.R. China
Abstract:Two-electron impurity states in parabolic confinement have been investigated. We have estimated the ground-state energy value, using the Heisenberg uncertainty relation. Using variational methods the ground state energy and wave function of the single-electron impurity problem have been achieved. The dependence of ground-state energy and Coulomb electron–electron interaction energy correction on the QD size is studied. The dependence of the state exchange time on the QD radius has been calculated. It has been shown that the presence of the impurity leads to the appearance of negative values of the energy of the system on the one hand, and to the saturating character of the state exchange time.
Keywords:Two-electron quantum dot  Impurity state  Electron–electron interaction  State exchange time
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