Excitonic states in a quantum well

New approach to calculate both bound and continuum excitonic states in a quantum well are presented. Green functions technique for appropriate Schrödinger equation allowed transforms it to system of linear algebraic equations and to obtain a general numerical solution for excitonic wave function in a matrix form. The exciton binding energy was determined as poles of the wave function. Calculated quantum-mechanical transverse average size of an exciton correlates with binding energy. The results for different well widths and excitonic states are presented and analyzed.