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arXiv · 1505.02687

Time-evolution of quantum systems via a complex nonlinear Riccati equation. I. Conservative systems with time-independent Hamiltonian

Hans Cruz·Dieter Schuch·Octavio Castaños·Oscar Rosas-Ortiz
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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.

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Hans Cruz, Dieter Schuch, Octavio Castaños, Oscar Rosas-Ortiz. 2015-05-11. Time-evolution of quantum systems via a complex nonlinear Riccati equation. I. Conservative systems with time-independent Hamiltonian. https://doi.org/10.1016/j.aop.2015.05.001

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