3 papers
quant-ph2026
Wave-Particle Complementarity from Fourier-Pontryagin Duality: A Categorical Formulation on Schwartz Rigged Hilbert Spaces
Samuel B. Soltau
We formulate position--momentum complementarity in a continuous categorical setting based on Schwartz rigged Hilbert spaces. The position and momentum descriptions are represented…
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…