English

Generalized probability and current densities: A field theory approach

Quantum Physics 2021-02-05 v1 Mathematical Physics math.MP

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 Schrodinger equation. The extended probability and particle current densities are found which satisfy the continuity equation.

Keywords

Cite

@article{arxiv.2102.02565,
  title  = {Generalized probability and current densities: A field theory approach},
  author = {M. Izadparast and S. Habib Mazharimousavi},
  journal= {arXiv preprint arXiv:2102.02565},
  year   = {2021}
}

Comments

8 pages

R2 v1 2026-06-23T22:49:59.206Z