• DOI:10.1007/s00023-020-01012-1
• Corpus ID: 219177045

On the Asymptotic Dynamics of 2-D Magnetic Quantum Systems

@article{Cardenas2020OnTA,
  title={On the Asymptotic Dynamics of 2-D Magnetic Quantum Systems},
  author={Esteban C'ardenas and Dirk Hundertmark and Edgardo Stockmeyer and Semjon A. Vugalter},
  journal={Annales Henri Poincar{\'e}},
  year={2020},
  volume={22},
  pages={415 - 445}
}

• Esteban C'ardenas, D. Hundertmark, +1 author S. Vugalter
• Published 29 May 2020
• Physics, Mathematics
• Annales Henri Poincaré

In this work, we provide results on the long-time localization in space (dynamical localization) of certain two-dimensional magnetic quantum systems. The underlying Hamiltonian may have the form H=H0+W\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H=H_0+W$$\end{document}, where H0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_0$$\end{document} is rotationally symmetric and has dense point spectrum and W is a perturbation that breaks the rotational symmetry. In the latter case, we also give estimates for the growth of the angular momentum operator in time.