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quant-ph2026
A Clarifying Note on the Position-Momentum Correspondence: Pontryagin Duality, Fourier Transport, and Physical Normalization
Samuel B. Soltau
The position--momentum correspondence combines several mathematically distinct identifications that are often conflated. For the additive group , every continuous ch…
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…