The spin-zero Duffin-Kemmer-Petiau equation in a cosmic-string space-time with the Cornell interaction

2016 ◽  
Vol 31 (36) ◽  
pp. 1650191 ◽  
Author(s):  
M. de Montigny ◽  
M. Hosseinpour ◽  
H. Hassanabadi
Keyword(s):  
Gravitational Field ◽  
Coordinate System ◽  
Cosmic String ◽  
Topological Defects ◽  
Space Time ◽  
Dkp Equation

In this paper, we study the covariant Duffin-Kemmer-Petiau (DKP) equation in the cosmic-string space-time and consider the interaction of a DKP field with the gravitational field produced by topological defects in order to examine the influence of topology on this system. We solve the spin-zero DKP oscillator in the presence of the Cornell interaction with a rotating coordinate system in an exact analytical manner for nodeless and one-node states by proposing a proper ansatz solution.

scholarly journals Duffin–Kemmer–Petiau particles in the presence of the spiral dislocation

2021 ◽  
pp. 2150100
Author(s):  
S. Hassanabadi ◽  
S. Zare ◽  
B. C. Lütfüoğlu ◽  
J. Kříž ◽  
H. Hassanabadi
Keyword(s):  
Wave Function ◽  
Analytical Methods ◽  
Topological Defects ◽  
Space Time ◽  
Boson Field ◽  
Static Potential ◽  
Dkp Equation ◽  
Energy Eigenvalues

In this study, we investigated the influence of the topological defects space–time with a spiral dislocation on a spin-zero boson field by using the Duffin–Kemmer–Petiau (DKP) equation. To be more specific, we solved the generalized spin-zero DKP equation in the presence of a spiral dislocation exactly. We derived the wave function and corresponding energy eigenvalues for two cases, in the absence and presence of a static potential by using analytical methods. We numerically demonstrated the effect of the spiral dislocation on the solutions.

Klein–Gordon field in spinning cosmic-string space-time with the Cornell potential

2018 ◽  
Vol 15 (10) ◽  
pp. 1850165 ◽  
Author(s):  
Mansoureh Hosseinpour ◽  
Hassan Hassanabadi ◽  
Marc de Montigny
Keyword(s):  
Scalar Field ◽  
Cosmic String ◽  
Quantum Dynamics ◽  
Topological Defects ◽  
Space Time ◽  
Wave Functions ◽  
Physical Parameters ◽  
Gravitational Fields ◽  
Cornell Potential ◽  
Klein Gordon

We study the relativistic quantum dynamics of a Klein–Gordon scalar field subject to a Cornell potential in spinning cosmic-string space-time, in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We solve the Klein–Gordon equation in the presence of scalar and vector interactions by utilizing the Nikiforov–Uvarov formalism and two ansätze, one of which leads to a biconfluent Heun differential equation. We obtain the wave-functions and the energy levels of the relativistic field in that space-time. We discuss the effect of various physical parameters and quantum numbers on the wave-functions.

scholarly journals The DKP Oscillator in Spinning Cosmic String Background

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Mansoureh Hosseinpour ◽  
Hassan Hassanabadi
Keyword(s):  
Cosmic String ◽  
Energy Levels ◽  
Flat Space ◽  
Space Time ◽  
Covariant Form ◽  
Dkp Equation ◽  
Relativistic Spin ◽  
String Background

In this article, we investigate the behaviour of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string. We obtain the generalized beta-matrices in terms of the flat space-time ones and rewrite the covariant form of Duffin-Kemmer-Petiau (DKP) equation in spinning cosmic string space-time. We find the solution of DKP oscillator and determine the energy levels. We also discuss the influence of the topology of the cosmic string on the energy levels and the DKP spinors.

Relativistic quantum motion of the scalar bosons in the background space–time around a chiral cosmic string

2019 ◽  
Vol 34 (10) ◽  
pp. 1950056 ◽  
Author(s):  
M. A. Hun ◽  
N. Candemir
Keyword(s):  
Current Density ◽  
Cosmic String ◽  
Relativistic Quantum ◽  
Energy Levels ◽  
Space Time ◽  
Curved Space ◽  
Dkp Equation ◽  
Background Space ◽  
Uvarov Method ◽  
Quantum Motion

In this paper, a relativistic behavior of spin-zero bosons is studied in a chiral cosmic string space–time. The Duffin–Kemmer–Petiau (DKP) equation and DKP oscillator are written in this curved space–time and are solved by using an appropriate ansatz and the Nikiforov–Uvarov method, respectively. The influences of the topology of this space–time on the DKP spinor and energy levels and current density are also discussed in detail.

scholarly journals Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

2020 ◽  
Vol 66 (2 Mar-Apr) ◽  
pp. 192
Author(s):  
A. Boumali ◽  
H. Aounallah
Keyword(s):  
Gravitational Field ◽  
Exact Solutions ◽  
Order Differential Equation ◽  
Topological Defects ◽  
Space Time ◽  
Vector Bosons ◽  
Commutative Space ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Coulomb Potentials

In this paper, we obtain the exact solutions of Duffin-Kemmer-Petiau equation spin-1 in thepresence of the Aharonov-Bohm and Coulomb potential in the gravitational field of cosmic stringand a global monopole, we are study the DKP equation in commutative space-time, We separatedthe variables with the help of Wigner functions and the parity operator, We solved the system ofthe second order differential equation in the case of P = (−1) j+1 , but in the case of P = (−1) j wesolved the system in j = 0. The spectrum of energy in the gravitational field of cosmic string and aglobal monopole are different, and the commutation relation of the angular momentum are obviouslydifferent from Pauli criterion in the Aharonov-Bohm effect, in spin-0 and spin-1 we have the non-commutativity energy by the perturbation theory, the energy is transition from commutative tonon-commutative spac

scholarly journals Quantum Influence of Topological Defects on a Relativistic Scalar Particle with Cornell-Type Potential in Cosmic String Space-Time with a Spacelike Dislocation

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Topological Defects ◽  
Scalar Particle ◽  
Space Time ◽  
Klein Gordon ◽  
Quantum Flux ◽  
Relativistic Analogue

We study the relativistic quantum of scalar particles in the cosmic string space-time with a screw dislocation (torsion) subject to a uniform magnetic field including the magnetic quantum flux in the presence of potential. We solve the Klein-Gordon equation with a Cornell-type scalar potential in the considered framework and obtain the energy eigenvalues and eigenfunctions and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

Aharonov–Bohm effect for bound states on spin-0 scalar charged particles in a rotating cosmic string space–time with Coulomb potentials

2020 ◽  
Vol 35 (20) ◽  
pp. 2050101
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Quantum Dynamics ◽  
Bound States ◽  
Relativistic Quantum ◽  
Charged Particles ◽  
Topological Defects ◽  
Space Time ◽  
Vector Potentials ◽  
Bohm Effect ◽  
Aharonov Bohm

In this paper, we study the relativistic quantum dynamics of spin-0 scalar charged particles with a magnetic quantum flux produced by topological defects in a rotating cosmic string space–time. We solve the Klein–Gordon equation subject to Coulomb-type scalar and vector potentials in the considered framework and obtain the energy eigenvalues and eigenfunctions and analyze the analogue effect to Aharonov–Bohm effect for bound states.

scholarly journals Gravity-Based Characterization of Three-Axis Accelerometers in Terms of Intrinsic Accelerometer Parameters

2017 ◽  
Vol 122 ◽  
Author(s):  
Jon Geist ◽  
Muhammad Yaqub Afridi ◽  
Craig D. McGray ◽  
Michael Gaitan
Keyword(s):  
Gravitational Field ◽  
Coordinate System ◽  
Measurement Errors ◽  
Angle Measurement ◽  
Sensitivity Matrix ◽  
Cross Sensitivity ◽  
Measurement Capability ◽  
Intrinsic Parameters ◽  
The Cross ◽  
Alignment Errors

Cross-sensitivity matrices are used to translate the response of three-axis accelerometers into components of acceleration along the axes of a specified coordinate system. For inertial three-axis accelerometers, this coordinate system is often defined by the axes of a gimbal-based instrument that exposes the device to different acceleration inputs as the gimbal is rotated in the local gravitational field. Therefore, the cross-sensitivity matrix for a given three-axis accelerometer is not unique. Instead, it depends upon the orientation of the device when mounted on the gimbal. We define nine intrinsic parameters of three-axis accelerometers and describe how to measure them directly and how to calculate them from independently determined cross-sensitivity matrices. We propose that comparisons of the intrinsic parameters of three axis accelerometers that were calculated from independently determined cross-sensitivity matrices can be useful for comparisons of the cross-sensitivity-matrix measurement capability of different institutions because the intrinsic parameters will separate the accelerator-gimbal alignment differences among the participating institutions from the purely gimbal-related differences, such as gimbal-axis orthogonality errors, z-axis gravitational-field alignment errors, and angle-setting or angle-measurement errors.

scholarly journals A MAXWELL-LIKE FORMULATION OF GRAVITATIONAL THEORY IN MINKOWSKI SPACE–TIME

2007 ◽  
Vol 16 (06) ◽  
pp. 1027-1041 ◽  
Author(s):  
EDUARDO A. NOTTE-CUELLO ◽  
WALDYR A. RODRIGUES
Keyword(s):  
Gravitational Field ◽  
Minkowski Space ◽  
Gravitational Theory ◽  
Space Time ◽  
Lorentzian Geometry ◽  
Field Equations ◽  
Yang Mills ◽  
Minkowski Space Time ◽  
Clifford Bundle ◽  
Gauge Fixing

Using the Clifford bundle formalism, a Lagrangian theory of the Yang–Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski space–time is presented. It is shown how two simple hypotheses permit the interpretation of the formalism in terms of effective Lorentzian or teleparallel geometries. In the case of a Lorentzian geometry interpretation of the theory, the field equations are shown to be equivalent to Einstein's equations.

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