Stationary States

Steven A. Adelman

In Section 3.2 , we introduced stationary quantum states. In this chapter, we expand this introduction and also derive some basic results for non-stationary states. Before beginning our mathematical treatments of stationary and non-stationary quantum states, we briefly review the stationary states of the Bohr theory and also qualitatively describe their similarities to and differences from the stationary states of modern quantum mechanics.

Brian P. Anderson

Vasily Evgenevich Tarasov

Using Liouville space and superoperator formalism we consider pure stationary states of open and dissipative quantum systems. We discuss stationary states of open quantum systems, which coincide with stationary states of closed quantum systems. Open quantum systems with pure stationary states of linear oscillator are suggested. We consider stationary states for the Lindblad equation. We discuss bifurcations of pure stationary states for open quantum systems which are quantum analogs of classical dynamical bifurcations.

André F. Verbeure

Vasily Evgenevich Tarasov

Using Liouville space and superoperator formalism we consider pure stationary states of open and dissipative quantum systems. We discuss stationary states of open quantum systems, which coincide with stationary states of closed quantum systems. Open quantum systems with pure stationary states of linear oscillator are suggested. We consider stationary states for the Lindblad equation. We discuss bifurcations of pure stationary states for open quantum systems which are quantum analogs of classical dynamical bifurcations.