Klein-Gordon Oscillator Under the Effects of the Cornell-Type Interaction in the Kaluza-Klein Theory
- PDF / 328,413 Bytes
- 6 Pages / 595.224 x 790.955 pts Page_size
- 66 Downloads / 171 Views
PARTICLES AND FIELDS
Klein-Gordon Oscillator Under the Effects of the Cornell-Type Interaction in the Kaluza-Klein Theory ´ 2 E. V. B. Leite1 · H. Belich1 · R. L. L. Vitoria Received: 6 April 2020 © Sociedade Brasileira de F´ısica 2020
Abstract We have investigated the interaction between the Klein-Gordon oscillator and the Cornell-type potential in a background characterized by the Kaluza-Klein theory, where it is governed by the manifestation of the extra dimension through the Aharonov-Bohm effect for bound states. Then, in the search for bound state solutions, we analytically determine the relativistic energy profile of the oscillator under the effects of Cornell-type interaction and for the particular cases of Coulomb-type and linear potentials, where in all cases, the frequency of the relativistic oscillator has restricted values determined by the quantum numbers of the system. Keywords Kaluza-Klein theory · Klein-Gordon oscillator · Cornell-type central potential · Aharonov-Bohm effect for bound states
1 Introduction Studies of quantum systems with position-dependent mass have been widely investigated in the literature [1–16]. The proposal to make the effective mass of a wave equation a function of position has direct influence in transport properties on physical systems where there are several applications, as example, semiconductor heterostructures [17], electronic properties of the semiconductors [18], quantum wells, wires and dots [19–22], quantum liquids [23], and 3 He clusters [24]. In addition, position-dependent mass systems have been investigated in the context of information entropies [25–27].
R. L. L. Vit´oria
[email protected]; [email protected] E. V. B. Leite [email protected] H. Belich [email protected] 1
Departamento de F´ısica e Qu´ımica, Universidade Federal do Esp´ırito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060900, Vit´oria, ES, Brazil
2
Faculdade de F´ısica, Universidade Federal do Par´a, Av. Augusto Corrˆea, Guam´a, 66075-110, Bel´em, PA, Brazil
Energy relativistic effects appearing in these quantum systems with position-dependent mass have been investigated. Interesting properties emerge in systems with quarkantiquark interaction [28], with pionic atom [29], in the spacetime with curvature [30–32], in the spacetime with torsion [33–36], in the Som-Raychaudhuri spacetime [37– 39], in possible scenarios of Lorentz symmetry violation [40–42], on the Klein-Gordon oscillator (KGO) [43–46], in solution of the Dirac equation in a conical spacetime [47] and in Kaluza-Klein theory (KKT) [48–50]. The procedure of inserting central potentials into relativistic wave equations is given by the transformation m → m + S(r ) [29], where m is the rest mass and S(r ) is the scalar potential. In particular, the idea of a relativistic oscillator model first came up with the spin-1/2 field proposed by Moshinsky and Szczepaniak [51, 52], which then inspired the scalar field oscillator model known as KGO [53, 54]. The KGO has been investigated in the Minkowski spacet
Data Loading...
