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Quantum Control Electronics System Integration

Interferometric discrepancy between the Schrödinger and Klein-Gordon wave equations due to their dissimilar phase velocities

arXiv
Authors: Frank Victor Kowalski

Year

2026

Paper ID

3928

Status

Preprint

Abstract Read

~2 min

Abstract Words

85

Citations

N/A

Abstract

The Schrödinger equation predicts interference when a beamsplitter's trajectory includes a segment where its speed exceeds the phase velocity of a free non-zero rest mass particle that is in a momentum eigenstate. Such interference is neither possible for electromagnetic waves nor for eigenstates of momentum in the non-relativistic limit of the Klein-Gordon equation since the speed of the beamsplitter cannot exceed the phase velocity of the wave. The dual behavior of reflection and transmission in this case is discussed for dielectric and diffracting beamsplitters.

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  • The Schrödinger equation predicts interference when a beamsplitter's trajectory includes a segment where its speed exceeds the phase velocity of a free non-zero rest mass...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.08007 [2] arXiv https://arxiv.org/abs/2601.08007 [3] Publisher https://arxiv.org/abs/2601.08007

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