With hyperspherical coordinates, a simple and numerically accurate procedur
e is proposed to solve the Schrodinger equation for charged excitons in two
and quasi-two dimensions within a unified framework. Numerical results for
negatively charged excitons in two dimensions are presented, which are in
good agreement with those obtained through other computationally intensive
methods. The mass dependences of eigenenergies and particle correlation in
the low-lying states are investigated. [S0163-1829(99)16831-0].