Publicaties
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A problematic issue for atoms in molecules: impact of (quasi-)degenerate states on Quantum Theory Atoms in Molecules and Hirshfeld-I properties Universiteit Gent
Wilson lines in quantum field theory Universiteit Antwerpen
Toward a definition of complexity for quantum field theory states Universiteit Gent
Generalizing prototype theory: A formal quantum framework. Vrije Universiteit Brussel
Theories of natural language and concepts have been unable to model the flexibility, creativity, context-dependence, and emergence, exhibited by words, concepts and their combinations. The mathematical formalism of quantum theory has instead been successful in capturing these phenomena such as graded membership, situational meaning, composition of categories, and also more complex decision making situations, which cannot be modeled in ...
Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices Vrije Universiteit Brussel
Let U be a connected, simply connected compact Lie group with complexification G. Let u and g be the associated Lie algebras. Let Γ be the Dynkin diagram of g with underlying set I, and let U q(u) be the associated quantized universal enveloping ⁎-algebra of u for some 0<q distinct from 1. Let O q(U) be the coquasitriangular quantized function Hopf ⁎-algebra of U, whose Drinfeld double O q(G R) we view as the quantized function ⁎-algebra ...
Embedding quantum mechanics into a broader noncontextual theory: A conciliatiry result Vrije Universiteit Brussel
The extended semantic realism (ESR) model embodies the mathematical formalism of standard (Hilbert space) quantum mechanics in a noncontextual framework, reinterpreting quantum probabilities as conditional instead of absolute. We provide here an improved version of this model and show that it predicts that, whenever idealized measurements are performed, a modified Bell-Clauser-Horne-Shimony-Holt (BCHSH) inequality holds if one takes into account ...
Quantum-to-classical transition of primordial cosmological perturbations in de Broglie-Bohm quantum theory: The bouncing scenario KU Leuven
In a previous work we have exhibited a clear description of the quantum-to-classical transition of cosmological quantum fluctuations in the inflationary scenario using the de Broglie-Bohm quantum theory. These fluctuations are believed to seed the small inhomogeneities, which are then responsible for the formation of large scale structures. In this work we show that using the de Broglie-Bohm theory, it is also possible to describe the ...