In this review, a general algorithm for constructing coherent states of dynamical groups for a
given quantum physical system is presented. The result is that, for a given dynamical group …

Planar systems admit quantum states that are neither bosons nor fermions, ie, whose
angular momentum is neither integer nor half-integer. After a discussion of some examples …

The Handbook of Feynman Path Integrals appears just fifty years after Richard Feynman
published his pioneering paper in 1948 entitled" Space-Time Approach to Non-Relativistic …

We construct quantum-mechanical models that are analogs of three-dimensional,
topologically massive as well as Chern-Simons gauge-field theories, and we study the …

We study lattice hamiltonians with continuous local SU (2) gauge invariance, for which the
Hilbert space on each link is finite dimensional. As these are gauge-invariant …

Bohr-Sommerfeld quantization is exact for a spin in a magnetic field. This well-known result
is connected with the existence of a hidden supersymmetry. I discuss the supersymmetry …

We use a continuous-time path integral to obtain the semiclassical propagator for minimal-
spread spin coherent states. We pay particular attention to the “extra phase” discovered by …

We review equivariant localization techniques for the evaluation of Feynman path integrals.
We develop systematic geometric methods for studying the semi-classical properties of …

We consider a model of a black hole consisting of a number of elementary components.
Examples of such models occur in loop quantum gravity and in M-theory. We show that …

A simple systematic method for calculating derivative expansions of the one-loop effective
action is presented. This method is based on using symbols of operators and well known …