Solving time-dependent problems in quantum optics and quantum information

该研究涉及一种解决量子力学中含时问题的新方法的发展和应用。 该方法是基于某些哈密顿系统的封闭李代数的存在性。 在这样的条件下，系统的时间发展可以简化为求解一组相对简单的微分方程。 这种方法的好处是，对于它可以应用到的系统，它提供了一个简单的方法，也适用于开放系统的动力学。

The research is concerned with the development and application of a new method to solve time-dependent problems in quantum mechanics. The approach is based on the existence of a closed Lie algebra for certain Hamiltonian systems. Under such conditions, the time development of the system can be reduced to solving a relatively simple set of differential equations. The benefit of this method is that for the systems to which it can be applied, it offers a simple approach to the dynamics which is also applicable to open systems.