Applications of Lie systems in quantum mechanics and control theory

• Autorzy: José F. Cariñena , Arturo Ramos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 81Q70: Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.
• 34A26: Geometric methods in differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 59
• Numer: 1
• Strony: 143-162

Daty

wydano

2003

Twórcy

autor

José F. Cariñena

• Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50009, Zaragoza, Spain

autor

Arturo Ramos

• Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50009, Zaragoza, Spain

Identyfikatory

DOI

10.4064/bc59-0-7