Key research themes
1. How can the wave function be ontologically understood as a multi-field in three-dimensional space within Bohmian quantum theory?
This research theme investigates the ontological status of the quantum wave function in the de Broglie-Bohm interpretation of quantum mechanics, focusing on interpreting the wave function as a novel type of physical field—a "multi-field"—that exists in ordinary three-dimensional space rather than in the high-dimensional configuration space. This addresses longstanding conceptual problems about the dimensionality and realism of the wave function and the associated physical interactions guiding particle dynamics.
2. What ontological models and methodologies allow for a consistent particle interpretation within Quantum Field Theory (QFT)?
This theme focuses on reconciling the ontology of elementary particles with that of quantum fields in relativistic quantum field theory, addressing the difficulties with defining particle number operators and localization in interacting quantum field theories. Particular emphasis is placed on Bohmian approaches assigning persistent particle trajectories, the Dirac sea model, and the distinction between fields and quasi-particles, to construct an ontology with definite particle content in QFT.
3. How can quantum fields, particularly the electromagnetic field, be physically and mathematically quantized from foundational principles with minimal mathematical abstractions?
This research area explores methods to quantize fields such as the electromagnetic field by deriving quantum field operators and observables directly from physical experimental observations and basic quantum-mechanical equations, rather than through traditional abstract mathematical approaches reliant on vector potentials and gauge fixing. This contributes a more intuitively accessible, physically motivated treatment of field quantization that aligns with experimental phenomena and supports quantum optics and quantum information applications.