N. Bannov et al., CONFINED ACOUSTIC PHONONS IN A FREESTANDING QUANTUM-WELL AND THEIR INTERACTION WITH ELECTRONS, Physica status solidi. b, Basic research, 183(1), 1994, pp. 131-142
The Lagrangian of an isotropic continuous medium and Lagrangian formal
ism are used to consistently derive acoustic eigenmodes, to normalize
them, and to determine the acoustic phonons (confined acoustic phonons
) in a free-standing quantum well. These phonons may be classified as
shear, dilatational, and flexural phonons in accordance with the acous
tic terminology for eigenmodes. The Hamiltonians describing interactio
ns of the confined acoustic phonons with electrons in the approximatio
ns of the deformation potential and the piezoelectric scattering poten
tial are obtained and analyzed.