2D Pauli Equation with Hulthén Potential in the Presence of Aharonov—Bohm Effect

Ferkous, N.; Bounames, A.

doi:10.1088/0253-6102/59/6/04

Cited by 24 publications

(11 citation statements)

References 46 publications

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“…to study Hydrogen atom in a Laser plasma environment. Ferkous and Bounames [34] solved the 2D Pauli equation with Hulth´en potential for spin-1/2 particle in the presence of Aharonov-Bohm (AB) field with the vector potential of the form; Au r    . Eshghi et al [43] solved the SE with a position-dependent mass (PDM) for a charged particle with the superposition of the Hulthen plus Coulomb-like potential field under the influence of external magnetic and Aharonov-Bohm (AB) flux fields.…”

Section: Theory and Solutionsmentioning

confidence: 99%

“…Substituting equation ( 36) into (34), we obtain the following vibrational partition function of the screened modified Kratzer potential (SMKP) in magnetic and AB fields with topological defects as follows; (37) This expression represents the classical partition function. The reason is that equation (37) does not contain quantum corrections.…”

Section: Thermal and Magnetic Properties Of Screened Modified Kratzer...mentioning

confidence: 99%

“…The Dirac-Weyl equation was solved with the Nikoforov-Uvarov (NU) and Frobenius methods. Thermal properties was obtained using the Hurwitz zeta function method for one of the states [33] and other numerous studies [34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

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Effects of Topological Defect on the Energy Spectra and Thermo-magnetic Properties of $$CO$$ Diatomic Molecule

Edet

Ikot

2021

J Low Temp Phys

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Confinement effects of Aharonov-Bohm (AB) flux and magnetic fields with topological defect on CO diatomic molecule modeled by screened modified Kratzer potential is investigated in this paper. The all-encompassing effects of the fields and topological defect result in a strongly repulsive system. We discover that the collective effect of the fields and defect is intense than the lone and dual effect and consequently there is a substantial shift in the bound state energy of the system. We also find that to sustain a low-energy medium for the molecule modeled by SMKP, the topological defect and weak AB field are required, whereas the Magnetic field can be used as a control parameter or enhancer. The effects of the topological defect and magnetic and AB fields on the thermal and magnetic properties of the system are duly analyzed. We observe that the system tends to exhibit both a paramagnetic and diamagnetic behavior for weak and intense magnetic field respectively and some sort of saturation at large magnetic field. To further validate our findings, we map our result to 3D and a comparison of our results with what obtains in literature reveals an excellent agreement.

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Section: Theory and Solutionsmentioning

confidence: 99%

Section: Thermal and Magnetic Properties Of Screened Modified Kratzer...mentioning

confidence: 99%

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Effects of Topological Defect on the Energy Spectra and Thermo-magnetic Properties of $$CO$$ Diatomic Molecule

Edet

Ikot

2021

J Low Temp Phys

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“…Another interest is that the Cornell potential can be used to analyze the transition between the confined and unconfined phases of matter [8][9][10]. This potential is of considerable importance in various branches of physics such as propagation of gravitational waves, particle and nuclear physics [11][12][13][14][15], mathematical modeling of the parton vibrations inside hadronic system [16][17][18][19][20], quantum chromodynamics, and atomic physics [5,9,11,15]. It takes the form:…”

Section: Introductionmentioning

confidence: 99%

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

Luz

Petronilo

et al. 2022

Advances in High Energy Physics

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In this paper, we study within the structure of Symplectic Quantum Mechanics a bidimensional nonrelativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which consists of Coulomb-type plus linear potentials. First, we solve the Schrödinger equation in the phase space with the linear potential. The solution (ground state) is obtained and analyzed by means of the Wigner function related to Airy function for the c c ¯ meson. In the second case, to treat the Schrödinger-like equation in the phase space, a procedure based on the Bohlin transformation is presented and applied to the Cornell potential. In this case, the system is separated into two parts, one analogous to the oscillator and the other we treat using perturbation method. Then, we quantized the Hamiltonian with the aid of stars operators in the phase space representation so that we can determine through the algebraic method the eigenfunctions of the undisturbed Hamiltonian (oscillator solution), and the other part of the Hamiltonian was the perturbation method. The eigenfunctions found (undisturbed plus disturbed) are associated with the Wigner function via Weyl product using the representation theory of Galilei group in the phase space. The Wigner function is analyzed, and the nonclassicality of ground state and first excited state is studied by the nonclassicality indicator or negativity parameter of the Wigner function for this system. In some aspects, we observe that the Wigner function offers an easier way to visualize the nonclassic nature of meson system than the wavefunction does phase space.

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“…Another interest is that the Cornell potential can be used to analyze the transition between the confined and unconfined phases of matter [6][7][8]. This potential is of considerable importance in various branches of physics such as propagation of gravitational waves, particle and nuclear physics [14,[57][58][59]61], mathematical modeling of the parton vibrations inside hadronic system [53][54][55][56]60], quantum chromodynamics and atomic physics [3,7,14,61]. It takes the form:…”

Section: Introductionmentioning

confidence: 99%

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

Luz¹,

R.²,

Petronilo³

et al. 2021

Preprint

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In this paper, we explore a bi-dimensional nonrelativistic strong interaction system that represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which it has Coulombian and linear terms. For this purpose, we solve the Schrödinger equation in the phase space with the linear potential. The eigenfunction found is associated with the Wigner function via Weyl product using the representation theory of Galilei group in the phase space. We find that the Wigner function offers an easier way to visualize the properties of cc, bb, bc mesons systems than the wavefunction does.

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2D Pauli Equation with Hulthén Potential in the Presence of Aharonov—Bohm Effect

Cited by 24 publications

References 46 publications

Effects of Topological Defect on the Energy Spectra and Thermo-magnetic Properties of $$CO$$ Diatomic Molecule

Effects of Topological Defect on the Energy Spectra and Thermo-magnetic Properties of $$CO$$ Diatomic Molecule

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

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