Polar solutions with tensorial connection of the spinor equation

Abstract

Dirac field equations are studied for spinor fields without any external interaction and when they are considered on a background having a tensorial connection with a specific non-vanishing structure some solution can be found in polar form displaying a square-integrable localized behaviour.

arXiv comment6 pages

References in corpus (8)

• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• General treatment of quantum and classical spinning particles in external fields
• A generally-relativistic gauge classification of the Dirac fields
• Torsion Gravity for Dirac Fields
• General Dynamics of Spinors
• Spinor Fields, Singular Structures, Charge Conjugation, ELKO and Neutrino Masses
• Torsion Axial Vector and Yvon-Takabayashi Angle: Zitterbewegung, Chirality and all that
• Torsion Gravity for Dirac Particles

Cited by in corpus (12)

• Spinors in Polar Form
• Weyl and Majorana Spinors as Pure Goldstone Bosons
• de Broglie-Bohm formulation of Dirac fields
• Exotic fermionic fields and minimal length
• A Square-Integrable Spinor Solution to Non-Interacting Dirac Equations
• The Tensorial Connections
• The most complete mass-dimension four topological gravity
• Re-normalizable Chern-Simons Extension of Propagating Torsion Theory
• Necessity of Tensorial Connections for Spinorial Systems
• The Most General Propagator in Quantum Field Theory
• Chern-Simons Extension of ESK Theory
• Angular-Radial Integrability of Coulomb-like Potentials in Dirac Equations