Fernando Adan Serrano and Shi-Hai Dong Proper quantization rule approach to three-dimensional quantum dots International Journal of Quantum Chemistry 113
A formalism is developed to calculate the energy levels of an electron subject to a central force potential confined in a spherical quantum dot with radius rC using the proper quantization rule. Obtained numerical results are in good agreement with exact solutions. The case of a three-dimensionally confined linear harmonic oscillator subjected to a Coulomb force-field is used as an illustrative example. The rule illustrates its simplicity in calculations and beauty of symmetrical expression.
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