A geometric approach to time evolution operators of Lie quantum systems
arXiv:0811.4386 · doi:10.1007/s10773-008-9909-5
Abstract
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.
Accepted for publication in the International Journal of Theoretical Physics
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Cited by in corpus (5)
- Quantum Integrals of Motion for Variable Quadratic Hamiltonians
- The time-dependent quantum harmonic oscillator revisited: Applications to Quantum Field Theory
- Wei-Norman equations for a unitary evolution
- Phase Splitting for Periodic Lie Systems
- Lie systems and integrability conditions for t-dependent frequency harmonic oscillators