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September 5, 2025Open Access

Description of the Electron in the Electromagnetic Field: The Dirac Type Equation and the Equation for the Wave Function in Spinor Coordinate Space

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This paper presents a spinor equation for electrons, demonstrating richer information than vector equations in electromagnetic interactions.

The constructed spinor equation reveals more intricate interactions between electrons and electromagnetic fields than traditional vector forms.
An analysis based on Pauli matrices shows that the quadratic form is invariant under Lorentz transformations, highlighting its fundamental nature.
By reformulating the Dirac equation, a motion equation is proposed that is relativistically invariant, addressing limitations seen in previous models.
The paper contributes a novel approach for second quantization of fermion fields in spinor coordinate space, providing clearer connections to electrodynamics.

Pavel Gorev (2025) studied this question.

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This paper presents a spinor equation for electrons, demonstrating richer information than vector equations in electromagnetic interactions.