The generalized Klein–Gordon oscillator with position-dependent mass in a particular Gödel-type space–time

Yang, Yi; Long, Zheng-Wen; Ran, Qi-Kang; Chen, H.; Zhao, Zi-Long; Long, Chao-Yun

doi:10.1142/s0217751x21500238

Cited by 22 publications

(13 citation statements)

References 76 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We use cylindrical coordinates (ρ, ϕ, z), where ρ ∈ [0, ∞), ϕ ∈ [0, 2π], z ∈ (−∞, +∞), and natural units where c = h = 1. The angular frequency of the rotating frame is given by ω; the string parameter is η = 1 − 4Λ ∈ (0, 1], where Λ is the topological defect linear mass density (see references [18][19][20][21] for other applications). Notice that this line element is singular at the hard-wall…”

Section: Introductionmentioning

confidence: 99%

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: II. Spin-zero Duffin–Kemmer–Petiau-like oscillator

Cuzinatto

Montigny

Pompeia

2022

Class. Quantum Grav.

View full text Add to dashboard Cite

We study the non-inertial effects of a rotating frame on a spin-zero, Duffin-Kemmer-Petiau (DKP)-like oscillator in a cosmic string space-time with non-commutative geometry in the momentum space. The spin-zero DKP-like oscillator is obtained from the Klein-Gordon Lagrangian with a non-standard prescription for the oscillator coupling. We find that the solutions of the time-independent radial equation with the non-zero non-commutativity parameter parallel to the string are related to the confluent hypergeometric function. We find the quantized energy eigenvalues of the non-commutative oscillator.

show abstract

Section: Introductionmentioning

confidence: 99%

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: II. Spin-zero Duffin–Kemmer–Petiau-like oscillator

Cuzinatto

Montigny

Pompeia

2022

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…The comparison between the Lagrangians L B−osc and L NC−osc and the comparison between the field equations in Eqs. (17) and (20) exhibit the following mapping between the non-commutativity parameters and the components of vector potential:…”

Section: Non-commutativity As a Magnetic Fieldmentioning

confidence: 99%

“…in Refs. [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. In particular, the generalized Klein-Gordon oscillator has been recently studied in a Gödel-type space-time [17], Som-Raychaudhuri space-time [18] and in a global monopole space-time [19].…”

Section: Introductionmentioning

confidence: 99%

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator

Cuzinatto,

de Montigny,

Pompeia

2022

Preprint

View full text Add to dashboard Cite

We analyse the Klein-Gordon oscillator in a cosmic string space-time and study the effects stemming from the rotating frame and non-commutativity in momentum space. We show that the latter mimics a constant magnetic field, imparting physical interpretation to the setup. The field equation for the scalar field is solved via separations of variables, and we obtain quantization of energy and angular momentum. The space-time metric is non-degenerate as long as the particle is confined within a hard-wall, whose position depends on the rotation frame velocity and the string mass parameter. We investigate the energy quantization both for a finite hard-wall (numerical evaluation) and in the limit of an infinite hard-wall (analytical treatment). We stress the effect of non-commutativity upon the energy quantization in each case.

show abstract

“…The KG equation in various types of curved space-times was discussed, e.g. in references [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. In particular, the generalized KG oscillator has been recently studied in a Gödel-type space-time [17], Som-Raychaudhuri space-time [18] and in a global monopole space-time [19].…”

Section: Introductionmentioning

confidence: 99%

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: I. Klein–Gordon oscillator

Cuzinatto

Montigny

Pompeia

2022

Class. Quantum Grav.

View full text Add to dashboard Cite

We analyse the Klein–Gordon oscillator in a cosmic string space-time and study the effects stemming from the rotating frame and non-commutativity in momentum space. We show that the latter mimics a constant magnetic field, imparting physical interpretation to the setup. The field equation for the scalar field is solved via separations of variables, and we obtain quantization of energy and angular momentum. The space-time metric is non-degenerate as long as the particle is confined within a hard-wall, whose position depends on the rotation frame velocity and the string mass parameter. We investigate the energy quantization both for a finite hard-wall (numerical evaluation) and in the limit of an infinite hard-wall (analytical treatment). We stress the effect of non-commutativity upon the energy quantization in each case.

show abstract

The generalized Klein–Gordon oscillator with position-dependent mass in a particular Gödel-type space–time

Cited by 22 publications

References 76 publications

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: II. Spin-zero Duffin–Kemmer–Petiau-like oscillator

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: II. Spin-zero Duffin–Kemmer–Petiau-like oscillator

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: I. Klein–Gordon oscillator

Contact Info

Product

Resources

About