Relativistic oscillator model and Delbrück scattering

Relativistic harmonic oscillator model for quark stars

The relativistic harmonic oscillator (RHO) model of hadrons is used to study quark stars. The massradius relationship is obtained and compared with bag model of quark star, using Tolman-OppenheimerVolkoff equation. In this model, the outward degenerate pressure due to discrete Landau levels and Landau degeneracy balances the inward gravitational pressure. Where as in bag model the degenerate pr...

Simple analytical representation for the high - energy Delbrück scattering amplitudes

Using a new representation for the quasiclassical Green function of the Dirac equation in a Coulomb field, analytical expressions for the high-energy small-angle Delbrück scattering amplitudes are obtained exactly in the parameter Zα. Magnitudes of the amplitudes coincide with the previous results. However, the structure of the expressions obtained is much more simple, which considerably facili...

Relativistic oscillator of constant period.

The Relativistic Linear Singular Oscillator

Exactly-solvable model of the linear singular oscillator in the relativistic configurational space is considered. We have found wavefunctions and energy spectrum for the model under study. It is shown that they have correct non-relativistic limits. PACS numbers: 02.70.Bf, 03.65.Ca, 03.65.Pm Submitted to: J. Phys. A: Math. Gen.

Pseudospin symmetry and the relativistic harmonic oscillator

A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U linear in r. Setting either or both combinations S=S+V and D=V−S to zero, analytical solutions for bound states of the corresponding Dirac equations are found. The eigenenergies a...