In this work, we develop a comprehensive mathematical framework unifying scalar relativistic quantum mechanics with classical electromagnetic field theory by means of Schwartz-linear algebra. Building upon the foundations introduced by David Carfì in [1, 2, 3, 4], we construct a partial embedding of tempered scalar distributions into spaces of tempered vector-valued fields that carry natural Maxwellian structure.
From Maxwell’s equations to relativistic Schrodinger equation via Schwartz Linear Algebra and Killing vector fields on the 2-sphere
David Carfì
2025-01-01
Abstract
In this work, we develop a comprehensive mathematical framework unifying scalar relativistic quantum mechanics with classical electromagnetic field theory by means of Schwartz-linear algebra. Building upon the foundations introduced by David Carfì in [1, 2, 3, 4], we construct a partial embedding of tempered scalar distributions into spaces of tempered vector-valued fields that carry natural Maxwellian structure.File in questo prodotto:
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