Title :
Accurate calculation of hole bound states in quantum wells with polynomial potential profile
Author :
Polupanov, A.F. ; Evdochenko, S.N.
Author_Institution :
Kotel´nikov Inst. of Radio-Eng. & Electron., Moscow, Russia
Abstract :
We demonstrate an explicit numerical method for accurate solving the eigenvalue problem for systems of coupled ordinary differential equations such as those describing hole bound states in quantum wells with a polynomial potential profile. Hole bound states energies and corresponding wave functions are calculated in the case of a finite parabolic quantum well.
Keywords :
bound states; differential equations; eigenvalues and eigenfunctions; numerical analysis; semiconductor quantum wells; wave functions; coupled ordinary differential equation; eigenvalue problem; finite parabolic quantum well; hole bound state energy; numerical method; polynomial potential profile; wave functions; Eigenvalues and eigenfunctions; Electric potential; Mathematical model; Polynomials; Vectors; Wave functions;
Conference_Titel :
Laser and Fiber-Optical Networks Modeling (LFNM), 2013 12th International Conference on
Conference_Location :
Sudak
Print_ISBN :
978-1-4799-0158-6
DOI :
10.1109/LFNM.2013.6644828
