We investigate the eigenstates, that is, the wave functions of Rydberg excitons in cuprous oxide quantum wells and derive expressions relating them to the oscillator strengths of different exciton states. Using the B-spline expansion, we compute the wave functions in coordinate space and estimate the oscillator strengths. The symmetry properties of the states and the nonseparability of the wave functions are illustrated. Wave functions associated with resonances above the scattering threshold, particularly those of bound states in the continuum as well as their partner states, are also given.

• Bound states in the continuum
• Excitons
• Oscillator strength
• Wave chaos
• Quantum wells
• Semiconductors
• Numerical techniques
• Schroedinger equation