Dynamics of Quantum Particles in Perturbed Parabolic 2d Potential
2d quantum-mechanical problem of the time evolution of a particle in a quadratic potential is studied. We suppose that the center of the potential is displaced in arbitrary way in time. An analytical expression for the wave function in arbitrary instant time was built. It is shown the dynamic shift...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sumy State University
2016-11-01
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| Series: | Журнал нано- та електронної фізики |
| Subjects: | |
| Online Access: | http://jnep.sumdu.edu.ua/download/numbers/2016/4/articles/jnep_2016_V8_04014.pdf |
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| Summary: | 2d quantum-mechanical problem of the time evolution of a particle in a quadratic potential is studied. We suppose that the center of the potential is displaced in arbitrary way in time. An analytical expression for the wave function in arbitrary instant time was built. It is shown the dynamic shift of the center of the potential doesn’t change the variance. Moreover, the system can exhibit the resonance: when the frequency of the potential perturbation approaches to the natural frequency the amplitude of the wave packet of particle is increased. |
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| ISSN: | 2077-6772 |