2003/05/09 by José F. Cariñena, Arturo Ramos · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.DG #math.MP #math.OC #quant-ph #msc:34A26 #msc:81Q70 #msc:93B29
published as In the book: Classical and Quantum Integrability, Banach Center Publications, v, 59, p. 143 (2003) · LaTeX, 28 pages
arxiv created 2003/05/09 · arxiv updated 2009/11/30
Some simple examples from quantum physics and control theory are used to illustrate the application of the theory of Lie systems. We will show, in particular, that for certain physical models both of the corresponding classical and quantum problems can be treated in a similar way, may be up to the replacement of the involved Lie group by a central extension of it. The geometric techniques developed for dealing with Lie systems are also used in problems of control theory. Specifically, we will study some examples of control systems on Lie groups and homogeneous spaces.