5 papers
Finite-Precision Algebraic Quantum Field Theory
Abbas Edalat
Recent work introduced Interval Quantum Mechanics (IQM), a finite-precision framework in which physical information is represented by sets of possible states rather than exact stat…
Quantum Ergodicity and Thermalization in Interval Quantum Mechanics
Abbas Edalat
We combine Reimann's spectral typicality theorem -- a modern formulation of quantum ergodicity -- with the framework of Interval Quantum Mechanics (IQM). In IQM, quantum states are…
Finite-Precision Quantum Mechanics: Quantum Parcels, Information and Geometry
Abbas Edalat
Quantum mechanics represents states by exactly specified density operators, whereas experimentally available information is necessarily finite in precision. We develop \emph{Interv…
A Domain-Theoretic Foundation for Imprecise Probability and Credal Sets
Abbas Edalat, Pietro Di Gianantonio, Amin Farjudian
We develop a domain-theoretic framework for imprecise probability reasoning and inference on general topological spaces with a countably based continuous lattice of open sets. We a…
A generalisation of Henstock-Kurzweil integral to compact metric spaces
Abbas Edalat
We introduce the notion of a gauge and of a tagged partition (subordinate to a given gauge) by intersections of open and closed sets of a compact metric space extending the corresp…