Sarris, C.M., Caram, F. and Proto, A.N. (2004) The Uncertainty Principle as Invariant Motion for Time-dependent Hamiltonians. Physics Letters A, 324, 1-8.
https://doi.org/10.1016/j.physleta.2004.02.036

has been cited by the following article:

• TITLE: Uncertainty Principle and Bifurcations in the SU(2) Nonlinear Semiquantum Dynamics

  AUTHORS: Roberta Hansen, Claudia M. Sarris, Angelo Plastino

  KEYWORDS: Semiquantum Dynamics, Uncertainty Principle, Fixed Points, Bifurcation Curves

  JOURNAL NAME: Applied Mathematics, Vol.9 No.1, January 11, 2018

  ABSTRACT: In this paper, a nonlinear semiquantum Hamiltonian associated to the special unitary group SU(2) Lie algebra is studied so as to analyze its dynamics. The treatment here applied allows for a reduction in: 1) the system’s dimension, as well as 2) the number of system’s parameters (to only three). We can now discern clear patterns in: 1) the complete characterization of the system’s fixed points and 2) their stability. It is shown that the parameter associated to the uncertainty principle, which constitutes a very strong constraint, is the key one in determining the presence of fixed points and bifurcation curves in the parameter’s space.