Tunneling out of a time-dependent well
| dc.creator | Kramer, Tobias | |
| dc.creator | Moshinsky, Marcos | |
| dc.date | 2005-05-13 | |
| dc.date.accessioned | 2026-07-07T06:12:46Z | |
| dc.date.available | 2026-07-07T06:12:46Z | |
| dc.description | Solutions to explicit time-dependent problems in quantum mechanics are rare. In fact, all known solutions are coupled to specific properties of the Hamiltonian and may be divided into two categories: One class consists of time-dependent Hamiltonians which are not higher than quadratic in the position operator, like i.e the driven harmonic oscillator with time-dependent frequency. The second class is related to the existence of additional invariants in the Hamiltonian, which can be used to map the solution of the time-dependent problem to that of a related time-independent one. In this article we discuss and develop analytic methods for solving time-dependent tunneling problems, which cannot be addressed by using quadratic Hamiltonians. Specifically, we give an analytic solution to the problem of tunneling from an attractive time-dependent potential which is embedded in a long-range repulsive potential. Recent progress in atomic physics makes it possible to observe experimentally time-dependent phenomena and record the probability distribution over a long range of time. Of special interest is the observation of macroscopical quantum-tunneling phenomena in Bose-Einstein condensates with time-dependent trapping potentials. We apply our model to such a case in the last section. | |
| dc.description | 11 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0505099 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0505099 | |
| dc.identifier | J. Phys. A: Math. Gen. vol. 38 pp. 5993-6003 (2005) | |
| dc.identifier | doi:10.1088/0305-4470/38/26/011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92889 | |
| dc.subject | Quantum Physics | |
| dc.title | Tunneling out of a time-dependent well | |
| dc.type | text |