Kinematics and Dynamics

Veeravalli S. Varadarajan

J.V. Leahy, S. G. Schirmer

Girardeau et al. (1998) derived kinematical bounds on the optimization of observables for mixed-state quantum systems and showed that they are dynamically realizable if the system is completely controllable. In this paper the problem of finding dynamically realizable bounds for systems that are not completely controllable is addressed. We derive such bounds for systems whose dynamics can be decomposed into subspace dynamics. We also study systems that are not decomposable yet fail to be completely controllable. For these systems, the question of dynamical realizability of the kinematical bounds depends on the accessibility of the target states for which the expectation value of the observable assumes its kinematical maximum.

Julian Schwinger

A classic from 1969, this book is based on a series of lectures delivered at the Les Houches Summer School of Theoretical Physics in 1955. The book outlines a general scheme of quantum kinematics and dynamics.

John Hendry

H. D. Doebner, P. Nattermann

In this contribution we review results on the kinematics of a quantum system localized on a connected configuration manifold and compatible dynamics for the quantum system including external fields and leading to non-linear Schrödinger equations for pure states.

Günther Ludwig