Framework Of Dirac Theory Research Articles

Spin–orbit splittings in heavy-light mesons and Dirac equation

The spin-orbit splitting in heavy-light mesons is seen to be suppressed experimentally. It is shown that it can be understood qualitatively in the frame work of Dirac theory. An alternative derivation of a relativistic dynamical symmetry for the Dirac Hamiltonian, which suppresses spin orbit splitting, is also given. However it is shown that such a symmetry is not needed since the spin-orbit splitting in Dirac theory with Coulomb like potential (as is the case for the one gluon exchange potential in pQCD) is small anyway.

Quantized magnetic flux through the electronic orbits of dirac hydrogen atom and its relation with the spin dependent selection rules and photons intrinsic flux

We have calculated the changes in the quantized magnetic fluxes corresponding to the electronic orbits of Dirac hydrogen atom within the framework of Dirac theory and found that the flux change between the final state and the initial state is equal to (±Φ0 or zero).We have also calculated the non-zero matrix elements for dipole transitions (such as 1s↔2p and 2p↔3d) for the solutions of Dirac hydrogen atom. We find a complete agreement among all the above results. The combined result is that photon should carry an intrinsic flux quantum of (Φ0=hc/e).

Dirac electron in axial-wiggler fields

Relativistic electron motion in a guiding and wiggler magnetic field configuration is considered in the framework of Dirac theory and the modification of the Landau level distribution due to the guiding and wiggler fields has been worked out in a nonperturbative scheme. The energy surfaces now consist of two sets of hyperbolic sheets in the space of wiggler and axial momentum wave vectors.