Difference between the decay forms of the survival and nonescape probabilities
Year: 2002
Type: preprint
Abstract: The behavior of both the survival $S(t)$ and nonescape $P(t)$ probabilities at long times for one and three dimensional free particle system is shown to be closely connected to that of initial states at small momentum. We show that $S(t)$ and $P(t)$ exhibit similar asymptotic decay forms at long times, when the initial state $\\psi$ satisfies $\\hat{\\psi} (k)=O(k^m)$ with $m =0$ or 1 at small momentum. However, if $\\hat{\\psi} (k)=O(k^m)$ with an integer $m \\geq 2$, $S(t)$ and $P(t)$ decay in different ways at long times.
Source: arXiv (Cornell University)
Author: Manabu Miyamoto
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2883713124