Bound States of the Dirac Equation for a Class of Effective Quadratic Plus Inversely Quadratic Potentials
Antonio S. de Castro
Abstract
The Dirac equation is exactly solved for a pseudoscalar linear plus Coulomb-like potential in a two-dimensional world. This sort of potential gives rise to an effective quadratic plus inversely quadratic potential in a Sturm-Liouville problem, regardless the sign of the parameter of the linear potential, in sharp contrast with the Schroedinger case. The generalized Dirac oscillator already analyzed in a previous work is obtained as a particular case.
Create a lesson
Related papers
Environmental Effects in Post-Minkowskian Dynamics: Effective Field Theory, Feynman Rules, and Ward Identities for Compact Objects in Relativistic Fluids
Zvi Bern, Samuel Degen, Enrico Herrmann et al.
Toward a Unique Filter for the Gravitational Path Integral
Marc S. Klinger
Young Gerard storming high energy physics
John Iliopoulos
Exploring multi-parameter optimization in FRG
A. Codello, G. P. Vacca, D. Zarrilli
New Bethe vacua for N=2 elliptic models
Antonio Amariti, Pietro Glorioso, Chiara Mascherpa et al.
Holographic correlators with non-supersymmetric multi-particle states
Michele Giorgi, Stefano Giusto