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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

From Maxwell’s equations to Quantum Mechanics: an introduction

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Authors: David Carfi`

Year

2024

Paper ID

11512

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

114

Citations

1

Abstract

In this elementary but original introduction to the close relationship between the quantum mechanics in complex tempered distribution space and Maxwell’s electromagnetism, we start from an elementary (but representative) case. We prove that, in the chosen particular case, the Maxwell’s equations in empty space can be reformulated as a unique equation inside a subspace of solenoidal smooth vector fields. Moreover, we reinterpret the curl operator as the magnitude of the wave-vector operator. The unique complex equation condensing the two curl Maxwell’s equations reveals to be a faithful representation of the quantization of the Einstein’s energy relation for photons, or, if preferred, the relativistic SchrÅNodinger equation for a massless particle.

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  • In this elementary but original introduction to the close relationship between the quantum mechanics in complex tempered distribution space and Maxwell’s electromagnetism, we...

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References & Citation Signals

[1] DOI https://doi.org/10.14505/jmef.v10.2(19).03 [2] Publisher https://doi.org/10.14505/jmef.v10.2(19).03

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-10-29 15:13:36

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