Applications of Lie systems in quantum mechanics and control theory

José F. Cariñena, and Arturo Ramos. "Applications of Lie systems in quantum mechanics and control theory." Banach Center Publications 59.1 (2003): 143-162. <http://eudml.org/doc/282145>.

@article{JoséF2003,
abstract = {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 Lie group involved 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.},
author = {José F. Cariñena, Arturo Ramos},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {143-162},
title = {Applications of Lie systems in quantum mechanics and control theory},
url = {http://eudml.org/doc/282145},
volume = {59},
year = {2003},
}

TY - JOUR
AU - José F. Cariñena
AU - Arturo Ramos
TI - Applications of Lie systems in quantum mechanics and control theory
JO - Banach Center Publications
PY - 2003
VL - 59
IS - 1
SP - 143
EP - 162
AB - 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 Lie group involved 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.
LA - eng
UR - http://eudml.org/doc/282145
ER -