Relativistic quantum dynamics of a neutral particle in external electric fields: An approach on effects of spin

Inertial and topological effects on a 2D electron gas

“…Therefore, the presence of the disclination modifies the result obtained by Johnson in [12], who studied the effect of rotation on the energy spectrum of free charges and its consequences to the Hall effect. Effectively, we obtain a rescaling of the angular momentum ℓby the defect parameter α as seen in equations (19)- (20). For a = 1 we recover the result of Johnson [12].…”

“…It should be noted that, for the case where the singular interaction is absent, only the regular solutions contribute for the bound state wave function ( º ℓ b 0), and the energy is given by equation (17) with the plus sign together with the condition  a | | ℓ 1. On the other hand, if a singular interaction is present, then the energy levels with the minus sign exist but the constraint < a | | ℓ 1 must be observed since this is the condition for the irregular wave function to be square integrable [20]. The energy spectrum above must be analyzed in terms of the values the parameter α can assume, since the condition  a | | ℓ 1( < a | | ℓ 1) for the regular (irregular) solution has to be fulfilled.…”

Solution of the κ-Deformed Dirac Equation with Vector and Scalar Interactions in the Context of Spin and Pseudospin Symmetries

“…The resulting algebra of this contraction is a standard real Hopf algebra and depends on a dimension-full parameter κ instead of q. Since then, the algebraic structure of the κ -deformed Poincaré algebra has been investigated intensively and have become a theoretical field of increasing interest [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] . Through the field equations from the κ-Poincaré algebra (κ-Dirac equation [22][23][24]), we can study the physical implications of the quantum deformation parameter κ in relativistic and nonrelativistic quantum systems.…”

“…Through the field equations from the κ-Poincaré algebra (κ-Dirac equation [22][23][24]), we can study the physical implications of the quantum deformation parameter κ in relativistic and nonrelativistic quantum systems. In this context, we highlight the study of relativistic Landau levels [18], the Aharonov-Bohm effect taking into account spin effects [17], the Dirac oscillator [25,26] and the integer quantum Hall effect [27].…”

“…[32,33]). Some studies have been developed taking into account the spin and pseudospin symmetry limits to study relativistic dynamics of physical systems interacting with a class of potentials [34][35][36][37][38][39][40][41]. The present work is proposed to investigate the κdeformed Dirac equation derived in Refs.…”