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arXiv · 2309.15389

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

S. Rakhmanov·C. Trunk·D. Matrasulov
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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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S. Rakhmanov, C. Trunk, D. Matrasulov. 2023-09-27. Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation. https://doi.org/10.1088/1402-4896%2Fad52c8

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