Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911979828936704 |
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| author | Rakhmanov, S. Trunk, C. Matrasulov, D. |
| author_facet | Rakhmanov, S. Trunk, C. Matrasulov, D. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15389 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation Rakhmanov, S. Trunk, C. Matrasulov, D. Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases 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. |
| title | Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2309.15389 |