Publisher Summary This chapter presents a survey on the application of “geometric algebra”
to the physics of electrons. Geometric algebra is the simplest and most coherent language …

We examine the relativistic generalized DKP oscillator for a spin-zero field in a cosmic-string
background space-time characterized by a stationary cylindrical symmetric metric. We solve …

In the context of some deformed canonical commutation relations leading to isotropic
nonzero minimal uncertainties in the position coordinates, a Dirac equation is exactly solved …

This study is devoted to the thermal and magnetic properties of the D Klein–Gordon
oscillator in a cosmic string space–time. These properties are determined by the partition …

We introduce a unique model for a fermion-antifermion pair interacting via Dirac oscillator
coupling in the presence of an external uniform magnetic field. This model is based on an …

We examine the effects of gravitational fields produced by topological defects on a Dirac
field and a Dirac oscillator in a spinning cosmic string spacetime. We obtain the …

In the language of creation and annihilation operators, we study a relativistic spin-1 2
fermion subject to a Dirac oscillator (DO) coupling and a constant magnetic field in both …

In this paper, we study the influence of the Aharonov–Casher effect [Y. Aharonov, A. Casher,
Phys. Rev. Lett. 53 (1984) 319] on the Dirac oscillator in three different scenarios of general …

In this contribution, we study the Dirac oscillator under the influence of noninertial effects of a
rotating frame in the cosmic string spacetime. We show that both noninertial effects and the …

In this article, we study the influence of the gravitational fields produced by a topology such
as cosmic string space–time on a Klein–Gordon oscillator in the presence of a uniform …