Generalized probability and current densities: A Field theory

• URL: http://arxiv.org/abs/2203.02143v1
• Date: Fri, 4 Mar 2022 06:14:45 GMT
• Title: Generalized probability and current densities: A Field theory
• Authors: M.Izadparast and S. Habib Mazharimousavi
• Abstract summary: We introduce a generalized Lagrangian density for a quantum particle with the generalized momentum operator. After 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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