The generalized Klein–Gordon oscillator in a cosmic space-time with a space-like dislocation and the Aharonov–Bohm effect

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

“…Now, the condition that the confluent hypergeometric function becomes a polynomial of degree n r ≥ 0 (i.e, 1 F 1 −n r , 1 + α 2 , z 2 ) and finite everywhere is satisfied by the assumption that 1 2 + α 4 − γ 4 = −n r [44][45][46]. Consequently, we may now recast (19) in its finite polynomial form as…”

“…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. We discuss the confined KG-oscillator in a Gürses space-time background (i.e.…”

Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect

“…To couple generalized Klein-Gordon oscillator with field, following change in the radial momentum operator is considered 27,28,[49][50][51][52]64 where is the oscillator frequency and we can write �…”

“…In the context of KKT, the KG-oscillator in five-dimensional cosmic string and magnetic cosmic string background 25 , under a Cornell-type potential in five-dimensional Minkowski space-time 26 have investigated. In addition, generalized KGO on curved background space-time induced by a spinning cosmic string coupled to a magnetic field including quantum flux 49 , in magnetic cosmic string background under the effects of Cornell-type potential 27 and a linear confining potential 28 using KKT, in the presence of Coulomb-type potential in -dimensions Gürses space–time 50 , in cosmic string space-time with a spacelike dislocation 51 , and in cosmic string space-time 52 have investigated.…”