The effective-mass approximation in a transfer-matrix formalism is used to investigate above-barrier states in strained In x Ga 1Ϫx As/GaAs multiple quantum wells ͑MQW's͒. A condition for finding above-barrier states, semiconfined by a finite cap layer, is formulated. In the derivation of the transfer matrices, boundary conditions that include the discontinuity of the lattice constant in the growth direction are used. In a series of In x Ga 1Ϫx As/GaAs MQW's ͑4-6 periods, xӍ0.1, with the topmost barrier used as a cap͒ the energies of the light-hole and heavy-hole excitonic peaks, involving both above-barrier and confined states, are observed by photoluminescence excitation spectroscopy ͑PLE͒ and polarized PLE. The experimental values are in very good agreement with the calculated ones, for transitions involving above-barrier as well as confined states, supporting the validity of our calculations.