Few-Body Absorption In Prolate Ellipsoidal Quantum Dot

In this paper, on the basis of the geometric adiabaticity the problem of magneto absorption of few-body electron gas, localized in strongly prolate ellipsoidal quantum dot, has been investigated. Initially the confinement potential of the quantum dot was considered as rectangular and impenetrable. Due to the specific geometry of the quantum dot has been shown that the motion of the particles in the considered system can be separated into fast and slow, in the plane XOY and along the major semi-axis of the ellipsoid OZ respectively. In this case, based on the adiabatic approach has been shown that in the direction of the slow motion, the electron gas is localized in parabolic well. If a long-wavelength radiation falls on the system, then due to the parabolic form of confining potential conditions occur to implement the generalized Kohn theorem for this system.