Dequantization is a set of rules which turn quantum mechanics (QM) into classical mechanics (CM). It is not the WKB limit of QM. In this paper we show that, by extending time to a 3-dimensional " supertime " , we can dequantize the system in the sense of turning the Feynman path integral version of QM into the functional counterpart of the Koopman-von Neumann operatorial approach to CM. Somehow...

This paper considers a bilevel programming approach to applying coherent risk measures to extended two-stage stochastic programming problems. This formulation technique avoids the time-inconsistency issues plaguing naive models and the incomposability issues which cause time-consistent formulations to have complicated, hard-to-explain objective functions. Unfortunately, the analysis here shows ...

In vector field visualization, integral lines like stream, path, or streak lines are often used to examine the behavior of steady and unsteady flows. In 3D, however, visualizing integral lines is problematic since the resulting geometric structures cause occlusions, often hiding relevant features in the data. For this reason one important goal is to find a minimum number of lines which can repr...

A closed (in terms of classical data) expression for a transition amplitude between two generalized coherent states associated with a semisimple Lee algebra underlying the system is derived for large values of the representation highest weight, which corresponds to the quasiclssical approximation. Consideration is based upon a path-integral formalism adjusted to quantization of symplectic coher...

We consider a spin coherent states description of a general quantum spin system. It is shown that it is possible to use the spin-1/2 representation to study the general spin-J case. We identify the 1/2 spinor components as the homogeneous coordinates of the projective space associated to the complex variable that labels the coherent states and establish a relation between the two-component spin...

We construct the action-angle variables of a classical integrable model defined on complex projective phase space and calculate the quantum mechanical propagator in the coherent state path integral representation using the stationary phase approximation. We show that the resulting expression for the propagator coincides with the exact propagator which was obtained by solving the time-dependent ...

We introduce a general formalism, based on the stochastic formulation of quantum mechanics, to obtain localized quasi–classical wave packets as dynamically controlled systems, for arbitrary anharmonic potentials. The control is in general linear, and it amounts to introduce additional quadratic and linear time–dependnt terms to the given potential. In this way one can construct for general syst...

This paper describes how the structure of the state space of the quantum harmonic oscillator can be described by an adjunction of categories, that encodes the raising and lowering operators into a commutative comonoid. The formulation is an entirely general one in which Hilbert spaces play no special role. Generalised coherent states arise through the hom-set isomorphisms defining the adjunctio...

In the Fleischmann–Pons experiment, energy is produced without commensurate energetic reaction products. To account for this we have proposed new models in which coherent energy exchange occurs between two-level systems with a large energy quantum, and an oscillator with a much smaller characteristic energy. In earlier work we demonstrated using perturbation theory that the lossy spin-boson mod...

It is perhaps difficult to recall how new the treatment of the first 19921993 two-volume edition [2] was in using the modern functional analytically oriented PDE theory of evolution equations (as well as a corresponding semigroup treatment of delay equations) to present a treatment of topics that had only recently obtained a satisfactory formulation. The present work (hereafter, BDDM2) has now ...