TY - JOUR
T1 - Proper quantization rule approach to three-dimensional quantum dots
AU - Serrano, Fernando Adan
AU - Dong, Shi Hai
PY - 2013/10/15
Y1 - 2013/10/15
N2 - In this article, we develop a formalism to obtain the energy levels of the electron in a central force potential confined in a spherical quantum dot with radius rC by the proper quantization rule and the Wentzel-Kramers-Brillouin approximation. It is shown that the numerical results are in good agreement with exact solutions. To illustrate this method, we consider the linear harmonic oscillator and Coulomb potential confined within an impenetrable sphere of radius rC in three dimensions.
AB - In this article, we develop a formalism to obtain the energy levels of the electron in a central force potential confined in a spherical quantum dot with radius rC by the proper quantization rule and the Wentzel-Kramers-Brillouin approximation. It is shown that the numerical results are in good agreement with exact solutions. To illustrate this method, we consider the linear harmonic oscillator and Coulomb potential confined within an impenetrable sphere of radius rC in three dimensions.
KW - Wentzel-Kramers- Brillouin
KW - bound states
KW - proper quantization rule
KW - quantum dots
UR - http://www.scopus.com/inward/record.url?scp=84884145832&partnerID=8YFLogxK
U2 - 10.1002/qua.24449
DO - 10.1002/qua.24449
M3 - Artículo de revisión
SN - 0020-7608
VL - 113
SP - 2282
EP - 2286
JO - International Journal of Quantum Chemistry
JF - International Journal of Quantum Chemistry
IS - 20
ER -