Generalized probability and current densities: A Field theory
Quantum Physics
2022-03-07 v1
Abstract
We introduce a generalized Lagrangian density - involving a non-Hermitian kinetic term - for a quantum particle with the generalized momentum operator. Upon variation of the Lagrangian, we obtain the corresponding Schr\"odinger equation. The extended probability and particle current densities are found which satisfy the continuity equation.
Cite
@article{arxiv.2203.02143,
title = {Generalized probability and current densities: A Field theory},
author = {M. Izadparast and S. Habib Mazharimousavi},
journal= {arXiv preprint arXiv:2203.02143},
year = {2022}
}
Comments
9 pages. arXiv admin note: substantial text overlap with arXiv:2102.02565