Time-evolution of quantum systems via a complex nonlinear Riccati equation. I. Conservative systems with time-independent Hamiltonian
Quantum Physics
2015-05-27 v1
Abstract
The sensitivity of the evolution of quantum uncertainties to the choice of the initial conditions is shown via a complex nonlinear Riccati equation leading to a reformulation of quantum dynamics. This sensitivity is demonstrated for systems with exact analytic solutions with the form of Gaussian wave packets. In particular, one-dimensional conservative systems with at most quadratic Hamiltonians are studied.
Keywords
Cite
@article{arxiv.1505.02687,
title = {Time-evolution of quantum systems via a complex nonlinear Riccati equation. I. Conservative systems with time-independent Hamiltonian},
author = {Hans Cruz and Dieter Schuch and Octavio Castaños and Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:1505.02687},
year = {2015}
}