Dynamics of Quantum Particles in Perturbed Parabolic 2d Potential
| Authors | A.S. Mazmanishvili1 , I.A. Knyaz’2 |
| Affiliations | 1 NSC "Kharkov Institute of Physics and Technology", 1, Academicheskaya st., 61108, Kharkov, Ukraine 2 Sumy State University, 2, Rimsky-Korsakov st., 40007 Sumy, Ukraine |
| Е-mail | knigorua@mail.ru |
| Issue | Volume 8, Year 2016, Number 4 |
| Dates | Received 12 February 2016; published online 29 November 2016 |
| Citation | A.S. Mazmanishvili, I.A. Knyaz’, J. Nano- Electron. Phys. 8 No 4(1), 04014 (2016) |
| DOI | 10.21272/jnep.8(4(1)).04014 |
| PACS Number(s) | 03.65. – w, 02.30.Jr |
| Keywords | Quantum particle, Schrödinger equation (5) , Perturbed potential. |
| Annotation | 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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List of References English version of article |
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