The non-relativistic model of the fermion antiparticles in interaction with gauge field

Taghizadeh Firouzjaee, Javad

doi:10.47176/ijpr.25.1.71717

The non-relativistic model of the fermion antiparticles in interaction with gauge field

Document Type : Original Article

Author

Javad Taghizadeh Firouzjaee

K. N. Toosi University of Technology, P.O. Box 15875-4416, Tehran, Iran

https://doi.org/10.47176/ijpr.25.1.71717

Abstract

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.

Keywords

field non-relativistic limit

antiparticles

Schroedinger-Pauli equation

Subjects

Theoretical

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