A geometric approach to time evolution operators of Lie quantum systems

Understand

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.