Title :
A local interpolatory cardinal spline method for the determination of eigenstates in quantum-well structures with arbitrary potential profiles
Author :
Chen, J.J. ; Chan, A.K. ; Chui, C.K.
Author_Institution :
Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
fDate :
2/1/1994 12:00:00 AM
Abstract :
A numerical method based on a variational approach and local interpolatory cardinal spline (LICS) functions is developed to compute the eigenstates of a quantum well with an arbitrary potential profile. The formulation of this method is straightforward, while the numerical solution is more accurate than results obtained by using other methods in the published literature
Keywords :
eigenvalues and eigenfunctions; interpolation; semiconductor quantum wells; variational techniques; arbitrary potential profile; arbitrary potential profiles; eigenstates; electrooptical devices; local interpolatory cardinal spline function; local interpolatory cardinal spline method; numerical method; numerical solution; quantum-well structures; variational approach; Boundary conditions; Finite difference methods; Partial differential equations; Physics; Polynomials; Predictive models; Quantum computing; Quantum well devices; Quantum wells; Spline;
Journal_Title :
Quantum Electronics, IEEE Journal of
