This paper discusses various subtleties and problems related to the non-relativistic limit of fermionic quantum field theory to the Schrödinger equation. First, we discuss the concept of the single-particle state and its role in the non-relativistic limit of the field. We extend the non-relativistic limit of the Dirac equation of the action so that the non-relativistic limit of the wave functions of spin 1/2 particles and antiparticles appears simultaneously. We also study the non-relativistic limit using the Foldy–Wouthuysen transformation. Using the least substitution with the electromagnetic field in the Dirac action, we obtain the Schrödinger-Pauli equation for both the particle and the antiparticle.
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Taghizadeh Firouzjaee,J. (2025). The non-relativistic model of the fermion antiparticles in interaction with gauge field. Iranian Journal of Physics Research, 25(1), 1-6. doi: 10.47176/ijpr.25.1.71717
MLA
Taghizadeh Firouzjaee,J. . "The non-relativistic model of the fermion antiparticles in interaction with gauge field", Iranian Journal of Physics Research, 25, 1, 2025, 1-6. doi: 10.47176/ijpr.25.1.71717
HARVARD
Taghizadeh Firouzjaee J. (2025). 'The non-relativistic model of the fermion antiparticles in interaction with gauge field', Iranian Journal of Physics Research, 25(1), pp. 1-6. doi: 10.47176/ijpr.25.1.71717
CHICAGO
J. Taghizadeh Firouzjaee, "The non-relativistic model of the fermion antiparticles in interaction with gauge field," Iranian Journal of Physics Research, 25 1 (2025): 1-6, doi: 10.47176/ijpr.25.1.71717
VANCOUVER
Taghizadeh Firouzjaee J. The non-relativistic model of the fermion antiparticles in interaction with gauge field. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2025; 25(1): 1-6. doi: 10.47176/ijpr.25.1.71717
