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October 20, 2025Open Access

Alternative Framework to Quantize Fermionic Fields

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This framework derives the Schrödinger equation for fermionic fields, suggesting a novel method for quantization.

The variational framework successfully derives the Schrödinger equation for fermionic fields, enhancing conventional quantization methods.
The classical stationary action principle is extended to include a correction term based on relative entropy from field fluctuations.
An extended canonical transformation for fermionic fields is formulated, aligning the Hamilton-Jacobi equation with the Floreanini-Jackiw representation.
The quantized Hamiltonian satisfies the Poincaré algebra, ensuring compliance with special relativity's symmetry requirements.

Jianhao M. Yang (2025) studied this question.

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