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6 papers · 1 filter
Aspects of locally covariant quantum field theory
Ko Sanders
This thesis considers various aspects of locally covariant quantum field theory (LCQFT; see Brunetti et al., Commun.Math.Phys. 237 (2003), 31-68), a mathematical framework to descr…
Phase space quantization and Loop Quantum Cosmology: A Wigner function for the Bohr-compactified real line
Christopher J. Fewster, Hanno Sahlmann
We give a definition for the Wigner function for quantum mechanics on the Bohr compactification of the real line and prove a number of simple consequences of this definition. We th…
Quantum Energy Inequalities and Stability Conditions in Quantum Field Theory
Christopher J. Fewster
We give a brief review of quantum energy inequalities (QEIs) and then discuss two lines of work which suggest that QEIs are closely related to various natural properties of quantum…
p-Nuclearity in a New Perspective
Christopher J. Fewster, Izumi Ojima, Martin Porrmann
In this paper we try to settle some confused points concerning the use of the notion of p-nuclearity in the mathematical and physical literature, pointing out that the nuclearity i…
Quantum inequalities in quantum mechanics
Simon P. Eveson, Christopher J. Fewster, Rainer Verch
We study a phenomenon occuring in various areas of quantum physics, in which an observable density (such as an energy density) which is classically pointwise nonnegative may assume…
Diophantine approximation and the solubility of the Schroedinger equation
Simon Kristensen
We characterise the set of periods for which number theoretical obstructions prevent us from finding periodic solutions of the Schroedinger equation on a two dimensional torus as w…