Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation

TL;DR

This paper investigates the quantum dynamics of a particle in a time-dependent box with external potentials, providing exact solutions and exploring implications for high harmonic generation under dynamical confinement.

Contribution

It offers new exact solutions for quantum particles under dynamical confinement and classifies external potentials allowing variable separation in the Schrödinger equation.

Findings

Exact solutions for quantum confinement with time-dependent boundaries.

Analysis of kinetic energy and quantum force dynamics.

Proposal of a model for high harmonic generation under dynamical confinement.

Abstract

Quantum dynamics of a particle confined in a box with time-dependent wall is revisited by considering some unexplored aspects of the problem. In particular, the case of dynamical confinement in a time-dependent box in the presence of purely time-varying external potential is treated by obtaining exact solution. Also, some external potentials approving separation of space and time variables in the Schrodinger equation with time-dependent boundary conditions are classified. Time-dependence of the average kinetic energy and average quantum force are analyzed. A model for optical high harmonic generation in the presence of dynamical confinement and external linearly polarized monochromatic field is proposed.