Dynamics of Quantum Particles in Perturbed Parabolic 2d Potential

Resonant Spread Wave Function in Parabolic Potential

“…These oscillations in turn affect the dynamics of particles in it. The structure and arrangement of atoms in a single crystal significantly affect the character of the motion of particles in a lattice [3,4]. This paper presents the results of the study of the resonant energy buildup, which reveal at the quantum mechanical level the physical essence of the arising processes.…”

“…In this case, the role of time in the problem is played by the depth of particle penetration, and the function of perturbation, describes the forced oscillations of the crystal lattice. Another important example is related to the calculation of the rate of chemical reaction near the localized anharmonic vibrations of atoms caused by thermal fluctuations or external influence [3,4]. In this case, due to the large amplitude of localized anharmonic vibrations, the position of the potential well in which the particle is located can no longer be considered fixed, which requires a review of the problem of calculating the wave function taking into account the dynamics of the potential well.…”