Fractional Dynamical Behavior in Quantum Brownian Motion
| dc.creator | Kim, Kyungsik | |
| dc.creator | Kong, Y. S. | |
| dc.creator | Yum, M. K. | |
| dc.creator | Kim, J. T. | |
| dc.date | 2002-03-29 | |
| dc.date.accessioned | 2026-07-07T02:44:51Z | |
| dc.date.available | 2026-07-07T02:44:51Z | |
| dc.description | The dynamical behavior for a quantum Brownian particle is investigated under a random potential of the fractional iterative map on a one-dimensional lattice. For our case, the quantum expectation values can be obtained numerically from the wave function of the fractional Schr$\ddot{o}$dinger equation. Particularly, the square of mean displacement which is ensemble-averaged over our configuration is found to be proportional approximately to $t^δ$ in the long time limit, where $δ$ $=$ $0.96 \pm 0.02$. The power-law behavior with scaling exponents $ε$ $=$ $0.98 \pm 0.02$ and $θ$ $=$ $ 0.51 \pm 0.01$ is estimated for $ \bar {{< p(t) >}^2}$ and $ \bar {{< f(t) >}^2}$, and the result presented is compared with other numerical calculations. | |
| dc.description | 9 pages, 3 figures, Latex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0203602 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0203602 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19098 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Fractional Dynamical Behavior in Quantum Brownian Motion | |
| dc.type | text |