Parabolic dot in tilted magnetic field

The electron motion, the power absorption spectrum and the oscillator strengths are considered in the case of the parabolic dot in a tilted magnetic field by means of solving the equations of motion. It is shown that for a linear system the classical dynamic matrix diagonalization leads to the second quantization representation in quantum mechanical description. It enables to generalize the Fock single-electron wave function set for the case with the tilted magnetic field.