Applications of Lie systems in Quantum Mechanics and Control Theory

Details Applications of Lie systems in Quantum Mechanics and Control Theory Applications of Lie systems in Quantum Mechanics and Control Theory

2003-05-09

arxiv.org/abs/math-ph/0305021v1

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.

Affiliated with

Also associated with

No associations

Rating

Applications of Lie systems in Quantum Mechanics and Control Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Applications of Lie systems in Quantum Mechanics and Control Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applications of Lie systems in Quantum Mechanics and Control Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719646