Abstract:Pyrite scale formation is a critical problem in the hydrocarbon production industry; it affects the flow of hydrocarbon within the reservoir and the surface facilities. Treatments with inorganic acids, such as HCl, results in generation toxic hydrogen sulfide, high corrosion rates, and low dissolving power. In this work, the dissolution of pyrite scale is enhanced by the introduction of electrical current to aid the chemical dissolution. The electrolytes used in this study are chemical formulations mainly comp… Show more
“…where Θ = ζ + θ 2 4 − 2 (1 + |l|). The equation ( 12) is the biconfluent Heun's differential equation [31,32,33,47,48,49] with H(x) is the Heun polynomials function.…”
Section: Relativistic Scalar Particle Under the Effects Of Lorentz Symmetry Violationmentioning
confidence: 99%
“…The power series expansion H(x) becomes a polynomial of degree n by imposing the following two conditions [31,32,33,30,39,28,29,47] Θ = 2 n, (n = 1, 2, ...)…”
Section: Relativistic Scalar Particle Under the Effects Of Lorentz Symmetry Violationmentioning
In this work, we investigate the behaviour of a relativistic scalar particle in the background of the Lorentz symmetry violation determined by a tensor (KF)µναβ out of the Standard Model Extension. A linear electric field and a uniform magnetic can be induced by the violation of the Lorentz symmetry breaking effects, and analyze the behaviour of the scalar particle. We see that the analytical solution to the KG-equation can be achieved, and a quantum effect characterized by the dependence of the magnetic field on the quantum numbers is observed
“…where Θ = ζ + θ 2 4 − 2 (1 + |l|). The equation ( 12) is the biconfluent Heun's differential equation [31,32,33,47,48,49] with H(x) is the Heun polynomials function.…”
Section: Relativistic Scalar Particle Under the Effects Of Lorentz Symmetry Violationmentioning
confidence: 99%
“…The power series expansion H(x) becomes a polynomial of degree n by imposing the following two conditions [31,32,33,30,39,28,29,47] Θ = 2 n, (n = 1, 2, ...)…”
Section: Relativistic Scalar Particle Under the Effects Of Lorentz Symmetry Violationmentioning
In this work, we investigate the behaviour of a relativistic scalar particle in the background of the Lorentz symmetry violation determined by a tensor (KF)µναβ out of the Standard Model Extension. A linear electric field and a uniform magnetic can be induced by the violation of the Lorentz symmetry breaking effects, and analyze the behaviour of the scalar particle. We see that the analytical solution to the KG-equation can be achieved, and a quantum effect characterized by the dependence of the magnetic field on the quantum numbers is observed
“…Equation ( 15) is the biconfluent Heun's differential equation [40,2,3,6,7,43,44] with H(x) is the Heun polynomials function.…”
Section: Generalized Kg-oscillator Under the Effects Of Lorentz Symmetry Violationmentioning
confidence: 99%
“…The power series expansion H(x) becomes a polynomial of degree n by imposing the following two conditions [40,2,3,6,7] Θ = 2 n, (n = 1, 2, ...)…”
Section: Generalized Kg-oscillator Under the Effects Of Lorentz Symmetry Violationmentioning
confidence: 99%
“…In this paper, we investigate the behaviour of a scalar particle by solving the generalized Klein-Gordon oscillator [1,2,3,4,5,6,7] in a possible scenario of anisotropy generated by a Lorentz symmetry breaking term defined by a tensor (K F ) µναβ that governs the Lorentz symmetry violation out of the Standard Model Extension [8,9]. The scenario of the violation of Lorentz symmetry is determined by a field configuration of crossed electric and magnetic field that gives rise to a Coulomb-type Poynting vector.…”
In this paper, we consider the effects of a radial electric field and a constant magnetic field induced by Lorentz symmetry violation on a generalized relativistic quantum oscillator by choosing a function f(r) = b1 r + b2/r in the equation subject to a Cornell-type potential S(r) = ηL r + ηc/ r introduce by modifying the mass term in the equation. We show that the analytical solutions to the Klein-Gordon oscillator can be achieved, and a quantum effect is observed due to the dependence of the angular frequency of the oscillator on the quantum numbers of the system
We investigate quantum motion of spin-0 scalar particles in the presence of a uniform magnetic field including quantum flux under the effects of Cornell- and Coulomb-type potentials in cosmic string space-time. We evaluate the energy eigenvalues and eigenfunctions and analyze a relativistic analogue of the Aharonov-Bohm effect. We show that the potentials allow the formation of bound states solution, and the dependence of the magnetic field on quantum numbers of the system gives a quantum effect.
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