Physics – Mathematical Physics

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2003-05-09

In the book: Classical and Quantum Integrability, Banach Center Publications, v, 59, p. 143 (2003)

Physics

Mathematical Physics

LaTeX, 28 pages

Scientific paper

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.

**Cariñena José F.**

Physics – Mathematical Physics

Scientist

**Ramos Arturo**

Physics – Mathematical Physics

Scientist

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