Ma. Stroscio et al., ACOUSTIC-PHONON QUANTIZATION IN BURIED WAVE-GUIDES AND RESONATORS, Journal of physics. Condensed matter, 8(13), 1996, pp. 2143-2151
Starting from a classical Hamiltonian for nonhomogeneous elastic media
, a procedure is developed for acoustic phonon quantization in resonat
ors as well as linear and planar waveguides. The formalism is illustra
ted in an example of acoustic phonon modes in a buried cylindrical wav
eguide. The deformation potential Hamiltonian for electron-acoustic ph
onon interaction is also obtained.