3 papers
quant-ph2026
A Categorical Framework for Wave-Particle Complementarity: Continuous Observable Structures and Fourier-Pontryagin Duality
Samuel B. Soltau
We present a formulation wave-particle complementarity and the de Broglie relation within the framework of categorical quantum mechanics on rigged Hilbert spaces. Position…
quant-ph2025
The Covariant Relativistic Derivation of De Broglie Relation
Samuel Bueno Soltau
This paper provides an examination of the de Broglie relation, tracing its historical development from the quantum hypotheses proposed by Planck and Einstein to its covariant relat…
quant-ph2024
Classical and Quantum Analysis of Light Transmission Through Polarizing Filters
Davi A. Assunção, Samuel B. Soltau
We analyze the behavior of light as it passes through systems composed of polarizing filters at different angular orientations. The analysis is initially conducted in the context o…