We consider the Hamiltonian of a three-electron quantum dot composed of quadratic plus Coulomb terms and calculate the system’s spectra. We next apply the hyperradius to reduce the three-body Schrödinger equation into a one-variable differential equation that is solvable. To avoid the complexity, the Taylor expansion of the effective potential is enters the problem and thereby a solution is found for the eigenvalues of the corresponding three-body Schrödinger equation in terms of the Wigner parameter.
机构:
Zhongshan Univ, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Peoples R ChinaZhongshan Univ, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Peoples R China
Liu, YM
Huang, GM
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机构:Zhongshan Univ, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Peoples R China
Huang, GM
Bao, CG
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机构:Zhongshan Univ, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Peoples R China