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

• URL: http://arxiv.org/abs/2309.15389v1
• Date: Wed, 27 Sep 2023 03:57:33 GMT
• Title: Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation
• Authors: S. Rakhmanov, C. Trunk and D. Matrasulov
• Abstract summary: Quantum dynamics of a particle confined in a box with time-dependent wall is revisited. Time-dependence of the average kinetic energy and average quantum force is analyzed. A model for optical high harmonic generation in the presence of dynamical confinement and external linearly polarized monochromatic field is proposed.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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