Scalar quantum particle in (1+2)-dimensions Gurses space–time and the energy–momentum distributions

Confined Klein–Gordon oscillator from a (2+1)-dimensional Gürses to a Gürses or a pseudo-Gürses space-time backgrounds: Invariance and isospectrality

“…Inspired by the Dirac oscillator [1], the Klein-Gordon (KG) oscillator [2,3] has been a subject of intensive research in the last few decades. For example, the KG-oscillator in the Gödel and Gödel-type space-time backgrounds (e.g., [1][2][3][4][5][6][7][8]), in cosmic string space-time and Kaluza-Klein theory backgrounds (e.g., [9][10][11][12][13]), in Som-Raychaudhuri [14], in the (2+1)-dimensional Gürses space-time backgrounds (e.g., [15][16][17][18]), etc. The reader may find a sufficiently comprehensive sample of references on the historical progress background of this issue in [10,16,[19][20][21][22][23][24].…”

“…For example, the KG-oscillator in the Gödel and Gödel-type space-time backgrounds (e.g., [1][2][3][4][5][6][7][8]), in cosmic string space-time and Kaluza-Klein theory backgrounds (e.g., [9][10][11][12][13]), in Som-Raychaudhuri [14], in the (2+1)-dimensional Gürses space-time backgrounds (e.g., [15][16][17][18]), etc. The reader may find a sufficiently comprehensive sample of references on the historical progress background of this issue in [10,16,[19][20][21][22][23][24]. The KG-oscillator in the (2+1)-dimensional Gürses space-time backgrounds is the focal point of the current methodical proposal.…”

“…The KG-oscillator in a (1+2)-dimensional Gürses spacetime backgrounds was investigated by Ahmed [16,17], without a confinement (i.e., the scalar type interaction S (r ) = 0 in m −→ m + S (r )). In the current methodical proposal, however, we consider the KG-oscillator confined in a Cornelltype scalar potential (i.e., S (r ) of ( 14) below, which is commonly used in quarkonium spectroscopy [19,43]) in a (2+1)-dimensional Gürses space-time backgrounds.…”

PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory

“…Nevertheless, the Dirac oscillator of Moshinsky and Szczepaniak [17] has encouraged research activities on Klein-Gordon (KG) oscillator [18,19]. For example, the KG-oscillator in the Gödel and Gödel-type spacetime backgrounds (e.g., [17][18][19][20][21][22][23][24][25][26]), in cosmic string spacetime within Kaluza-Klein theory (KKT) backgrounds (e.g., [13,25,[27][28][29][30]), in Som-Raychaudhuri [31], in the (2+1)-dimensional Gürses spacetime backgrounds (e.g., [32][33][34][35]), etc.…”

Investigation of a Spin-0 Massive Charged Particle Subject to a Homogeneous Magnetic Field with Potentials in a Topologically Trivial Flat Class of Gödel-Type Space-Time

“…The relativistic quantum dynamics of spin-zero particles in 4D curved space-time with the cosmic string subject to a homogeneous magnetic field was studied in [19]. In addition, the relativistic wave equations in the ð1 + 2Þ-dimensional rotational symmetry spacetime background were investigated in [20][21][22][23][24][25].…”