Core/shell/shell spherical quantum dot with Kratzer confining potential: Impurity states and electrostatic multipoles |
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| Institution: | 1. Russian–Armenian (Slavonic) University, 123 Hovsep Emin, Yerevan 0051, Armenia;2. State Engineering University of Armenia, 105 Terian, Yerevan 0009, Armenia;3. Yerevan State Medical University, 2 Koryun, Yerevan 0025, Armenia;4. Yerevan State University, 1 Alex Manoogian, Yerevan 0025, Armenia;1. Universidad de los Llanos, Departamento de Matemáticas y Física, Facultad de Ciencias básicas e Ingeniería, Colombia;2. Instituto de Física, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia;3. Universidad de Sucre, Departamento de Física, Facultad de Educación y Ciencias, Colombia;1. Faculty of Technology, Department of Optical Engineering, Sivas Cumhuriyet University, 58140 Sivas, Turkey;2. Unidad Académica de Física, Universidad Autónoma de Zacatecas, Calzada Solidaridad esquina con Paseo la Bufa S/N, CP 98060, Zacatecas, Zac., Mexico;3. Universidad EIA, CP 055428, Envigado, Colombia;4. Centro de Investigación en Ciencias, Instituto de Investigación en Ciencias Básicas y Aplicadas, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, CP 62209, Cuernavaca, Morelos, Mexico |
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| Abstract: | An exactly solvable problem of impurity states is considered in core/shell/shell spherical quantum dot. Kratzer molecular potential is taken for confinement potential. The analytical expressions are obtained for the energy spectrum and wave functions of the impurity electron. The dependencies of the total energy and the binding energy of the impurity on the parameters of the confining potential are investigated. The possibility of the impurity electron leakage is shown in the external environment, due to the specific form of the Kratzer potential. The character of the electrostatic field created by the impurity and the electron is observed on the basis of obtained results. The multipole corrections caused by the dipole and quadrupole moments of the electron are calculated. It is shown that the dipole moment is absent, and the problem reduces to the calculation of only z component for the average values of the diagonal elements of the quadrupole moment tensor. The dependencies of the average values of the quadrupole moment on the Kratzer potential parameters are studied. |
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| Keywords: | Core/shell/shell spherical quantum dot Dipole and quadrupole moments Kratzer potential |
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