On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry

Abstract In this paper, we study the relativistic quantum dynamics of a neutral Dirac particle with permanent magnetic dipole moment that interacts an external field in background space-time linear topological defect called spiral dislocation. The generalized wave equation is derived from full action model involving Lagrangian density spinor and interaction model. energy eigenvalues corresponding functions are found closed form by reducing problem to non-relativistic moving freely on plane hole at origin whose radius determined parameter. limit vanishing also able establish hidden SUSY structure underlying Hamiltonian allowing us discuss some detail.