Generalized probability and current densities: A field theory approach

• URL: http://arxiv.org/abs/2102.02565v1
• Date: Thu, 4 Feb 2021 11:56:36 GMT
• Title: Generalized probability and current densities: A field theory approach
• Authors: M. Izadparast and S. Habib Mazharimousavi
• Abstract summary: We introduce a generalized Lagrangian density for a quantum particle with the generalized momentum operator. 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 Schrodinger equation. The extended probability and particle current densities are found which satisfy the continuity equation.

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