A Square-Integrable Spinor Solution to Non-Interacting Dirac Equations

Abstract

We consider the Dirac equation written in polar form, without any external potential but equipped with a non-zero tensorial connection, and we find a new type of solution that is localized around the origin with a decreasing exponential behaviour in the radial coordinate.

6 pages

References in corpus (3)

• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• Spinors in Polar Form
• Polar solutions with tensorial connection of the spinor equation

Cited by in corpus (4)

• Relativistic dynamical inversion in manifestly covariant form
• Symmetry Breaking of Universal type and Particular types
• General Spin Sums in Quantum Field Theory
• Integrability of Dirac equations in static spherical space-times