In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

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 …

We show how to compute classical wave observables using quantum scattering amplitudes.
We discuss observables both with incoming and with outgoing waves. The required …

Tools necessary for quantum simulations of 1+ 1 dimensional quantum chromodynamics are
developed. When formulated in axial gauge and with two flavors of quarks, this system …

The evolution of a quantum state is altered when a small perturbation is added to the
Hamiltonian. As time progresses, the overlap of the perturbed and unperturbed states gives …

A bstract We study the variance in the measurement of observables during scattering events,
as computed using amplitudes. The classical regime, characterised by negligible …

We formulate Nielsen's geometric approach to circuit complexity in the context of two-
dimensional conformal field theories, where series of conformal transformations are …

The theory of the semiclassical evolution of wave packets is developed as a version of WKB
theory in phase space. Special attention is given to the transformation properties of wave …