Abstract
When calculating the electron–phonon matrix elements in GaAs/AlGaAs single heterostructures or Si-inversion layers, the use of Fang–Howard (FH) or other trial electron wave functions in the overlap integrals and form factors is a common practice. Calculating the emission rates for acoustic phonons we show that trial wave functions of the FH type are insufficient to describe the effects of angle-resolved phonon emission of a (quasi-) two-dimensional electron gas (2DEG). They lead to an underestimation of the total phonon emission rate and too high values of the ratio between longitudinal and transverse acoustic phonons for phonon emission close to the normal of 2DEG.
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