Quantized Hamiltonian curl forces and squeezed light

In this paper we discuss quantum curl forces. We present both the classical and quantum theory of linear curl forces. The quantum theory is shown to reproduce the classical theory precisely if appropriate combinations of eigenfunctions are chosen. A series of examples are used to illustrate the theory and to demonstrate its limitations. Furthermore, we are able to point out an analogy between the quantum theory of curl forces and some of the squeezed light states of quantum optics. (paper)