Relativistic analogy of the Aharonov-Bohm effect in the presence of Coulomb field and magnetic charge

Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields

“…The corresponding coherent states were constructed in [12]. KleinGordon and Dirac equations for particles moving in a superposition of AB field, Coulomb field, and magnetic monopole field were found and analyzed in [14,15].…”

Operator method in solving non-linear equations of the Hartree-Fock type

“…The physical meaning of "extra" variable χ has been treated in many works (see, for example, refs. [20,21] and references therein).…”

The Three-Dimensional Dirac Oscillator in the Presence of Aharonov-Bohm and Magnetic Monopole Potentials

“…(3.1) resulting in the following Schrödinger-like second order differential equation (3.4a) This shows that θ ε plays the role of the angular momentum quantum number. The corresponding negative energy equation is obtained by using the kinetic balance relation (3.2) ( 1) 5) gives, by correspondence, the following map between the parameters of the two The upper radial component R + of the positive energy solution is obtained using the same parameter map (3.6) into the nonrelativistic wavefunction [10] In the following section we verify that the well-known spherically symmetric result (the pure Dirac-Oscillator) is a special case of our findings. Moreover, we obtain the nonrelativistic limit and show that it agrees with nonrelativistic results reported elsewhere.…”