Nonlinear Description of Quantum Dynamics. Generalized Coherent States
Quantum Physics
2021-05-05 v1 Mathematical Physics
math.MP
Abstract
In this work it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states. To show this, the immersion of a classical manifold into the Hilbert space of quantum mechanics is employed. Then one may parametrize the time-dependence of the wave function through the variation of parameters in the classical manifold. Therefore, the immersion allows to consider the so-called principle of analogy, i.e. using the procedures and structures available from the classical setting to employ them in the quantum framework.
Cite
@article{arxiv.2009.03229,
title = {Nonlinear Description of Quantum Dynamics. Generalized Coherent States},
author = {Hans Cruz-Prado and Giuseppe Marmo and Dieter Schuch and Octavio Castaños},
journal= {arXiv preprint arXiv:2009.03229},
year = {2021}
}