TY  - JOUR
AU  - Bányai, Ladislaus Alexander
AU  - Bundaru, Mircea
PY  - 2022
DA  - 2022/12/08
TI  - About Non-relativistic Quantum Mechanics and Electromagnetism
JO  - Recent Progress in Materials
SP  - 027
VL  - 04
IS  - 04
AB  - We describe here the coherent formulation of electromagnetism in the non-relativistic quantum-mechanical many-body theory of interacting charged particles. We use the mathematical frame of the field theory and its quantization in the spirit of the quantum electrodynamics (QED). This is necessary because a manifold of misinterpretations emerged especially regarding the magnetic field and gauge invariance. The situation was determined by the historical development of quantum mechanics, starting from the Schrödinger equation of a single particle in the presence of given electromagnetic fields, followed by the many-body theories of many charged identical particles having just Coulomb interactions. Our approach to the non-relativistic QED emphasizes the role of the gauge-invariance and of the external fields. We develop further the   approximation of this theory allowing a closed description of the interacting charged particles without photons. The resulting Hamiltonian coincides with the quantized version of the Darwin Hamiltonian containing besides the Coulomb also a current-current diamagnetic interaction. We show on some examples the importance of this extension of the many-body theory.
SN  - 2689-5846
UR  - https://doi.org/10.21926/rpm.2204027
DO  - 10.21926/rpm.2204027
ID  - Bányai2022
ER  -