Nonlinear Description of Quantum Dynamics. Generalized Coherent States

• URL: http://arxiv.org/abs/2009.03229v1
• Date: Mon, 7 Sep 2020 16:47:51 GMT
• Title: Nonlinear Description of Quantum Dynamics. Generalized Coherent States
• Authors: Hans Cruz-Prado, Giuseppe Marmo, Dieter Schuch, Octavio Casta\~nos
• Abstract summary: In this work it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states. The immersion of a classical manifold into the Hilbert space of quantum mechanics is employed.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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