New numerical matrix methods of solving the quasi-one-dimensional effective-mass equation

New efficient numerical methods of computing eigenvalues and eigenvectors o f quasi-one-dimension al effect;ive-mass Hamiltonian with arbitrary coordin ate dependence of charge carrier mass are presented. Within the proposed ap proach the effective-mass equation is replaced by a nonsymmetric or symmetr ic matrix eigenproblem which can be analysed numerically with the help of e xisting computer routines. The presented methods are verified in special se miconductor heterostructure cases that are solvable within other approaches . A generalization of the presented methods for nonparabolic materials is a lso discussed.