8 citations · 16 across the 8 of their papers we have counts for
8 papers
Ultraviolet-Finite QFT on Curved Space-Times
P. Tillman
This paper proposes a different interpretation on the renormalization program of an interacting Klein-Gordon field in curved space-times. Rather than being just another renormaliza…
Deformation Quantization: From Quantum Mechanics to Quantum Field Theory
P. Tillman
The aim of this paper is to give a basic overview of Deformation Quantization (DQ) to physicists. A summary is given here of some of the key developments over the past thirty years…
Deformation Quantization, Quantization, and the Klein-Gordon Equation
P. Tillman
The aim of this proceeding is to give a basic introduction to Deformation Quantization (DQ) to physicists. We compare DQ to canonical quantization and path integral methods. It is…
Explicit Constructions of the Fedosov star on some Lorentzian Space-Times
P. Tillman
This paper has been withdrawn by the author due to the fact that the results were found to be done previously.
Fedosov Observables on Constant Curvature Manifolds and the Klein-Gordon Equation
Philip Tillman, George Sparling
In this paper we construct the set of quantum mechanical observables in the Fedosov *-formalism (a coordinate invariant way to do quantum mechanics on any manifold M) of a single f…
Observables of Angular Momentum as Observables on the Fedosov Quantized Sphere
Philip Tillman, George Sparling
In this paper we construct the commutators of the Fedosov * (a generalization of the Moyal star product) on the phase space of S2. It is shown that this product obeys the standard…