A geometric approach to time evolution operators of Lie quantum systems

Details A geometric approach to time evolution operators of Lie quantum systems A geometric approach to time evolution operators of Lie quantum systems

2008-11-26

arxiv.org/abs/0811.4386v1

Int. J. Theor. Phys. Volume 48, Issue5 (2009), Page 1379.

Physics

Mathematical Physics

Accepted for publication in the International Journal of Theoretical Physics

Scientific paper

10.1007/s10773-008-9909-5

Lie systems in Quantum Mechanics are studied from a geometric point of view. In particular, we develop methods to obtain time evolution operators of time-dependent Schrodinger equations of Lie type and we show how these methods explain certain ad hoc methods used in previous papers in order to obtain exact solutions. Finally, several instances of time-dependent quadratic Hamiltonian are solved.

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