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Pseudo-Harm.nic Oscillatory Ring-Shaped Potential in a Relativistic Equation

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Chinese Physics Letters 2012年第11期29卷 17-19页

作者： m.eshghi Departm.nt of Physics Faculty of SciencesImam Hossein Comprehensive UniversityTehranIran

Exact solutions of the Dirac equation are studied for the pseudo-harm.nic oscillatory ring-shaped potential by using the Laplace transform.approach and the Nikiforov–Uvarov(NU)m.thod.The norm.lized eigenfunctions are expressed in term. of hyper-geom.tric series and use the NU and Laplace m.thods to obtain the eigenvalues equations.The obtained result of the eigenvalue equation is com.ared.At the end,one can find with a sim.le transform.tion the lower spinor com.onent of the Dirac equation.

关键词： equation m.thod equation

Quantum.pseudodots under the influence of external vector and scalar fields

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Chinese Physics B 2018年第8期27卷 109-117页

作者： m.eshghi S m.Ikhdairt Departm.nt of Physics Imam Hossein Comprehensive UniversityTehranIran Departm.nt of Physics Faculty of ScienceAn-Najah National UniversityNablusPalestine Departm.nt of Electrical Engineering Near East UniversityNicosiaNorthern CyprusMersin 10Turkey

We study the spherical quantum.pseudodots in the Schr6dinger equation by using the pseudo-harm.nic plus harm.nic oscillator potentials considering the effect of the external electric and m.gnetic fields. The finite energy levels and the wave functions are calculated. Furtherm.re, the behavior of the essential therm.dynam.c quantities such as, the free energy, the m.an energy, the entropy, the specific heat, the m.gnetization, the m.gnetic susceptibility, and the persistent currents are also studied by using the characteristic function. Our analytical results are found to be in good agreem.nt with the other works. The num.rical results on the energy levels as well as the therm.dynam.c quantities have also been given.

关键词： Schr6dinger equation harm.nic oscillator pseudo-harm.nic potential therm.dynam.c quantities quantum.pseudo-dots characteristic function

Relativistic effect of pseudospin sym.etry and tensor coupling on the m.e-type potential via Laplace transform.tion m.thod

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Chinese Physics B 2014年第12期23卷 44-49页

作者： m.eshghi S.m.Ikhdair Young Researchers and Elite Club Central Tehran Branch Islamic Azad University Departm.nt of Physics Faculty of Science An-Najah National University

A relativistic m.e-type potential for spin-1/2 particles is studied. The Dirac Ham.ltonian contains a scalar S（r） and a vector V（r） m.e-type potential in the radial coordinates, as well as a tensor potential U（r） in the form.of Coulom. potential. In the pseudospin（p-spin） sym.etry setting Σ = Cps and Δ = V（r）, an analytical solution for exact bound states of the corresponding Dirac equation is found. The eigenenergies and norm.lized wave functions are presented and particular cases are discussed with any arbitrary spin–orbit coupling num.er κ. Special attention is devoted to the caseΣ = 0 for which p-spin sym.etry is exact. The Laplace transform.approach（LTA） is used in our calculations. Som. num.rical results are obtained and com.ared with those of other m.thods.

关键词： Dirac equation m.e-type potential Laplace transform.approach tensor interaction p-spin sym.etry

Approxim.te energies and therm.l properties of a position-dependent m.ss charged particle under external m.gnetic fields

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Chinese Physics B 2017年第6期26卷 22-30页

作者： m.eshghi H m.hraban S m.Ikhdair Young Researchers and Elite Club Central Tehran BranchIslamic Azad UniversityTehranIran Faculty of Physics Semnan UniversitySemnanIran Departm.nt of Physics Faculty of ScienceAn-Najah National UniversityNablusWest BankPalestine Departm.nt of Electrical Engineering Near East UniversityNicosiaNorthern CyprusMersin 10Turkey

We solve the Schrodinger equation with a position-dependent m.ss（PDm. charged particle interacted via the superposition of the m.rse-plus-Coulom. potentials and is under the influence of external m.gnetic and Aharonov–Bohm.AB） flux fields. The nonrelativistic bound state energies together with their wave functions are calculated for two spatially-dependent m.ss distribution functions. We also study the therm.l quantities of such a system. Further, the canonical form.lism.is used to com.ute various therm.dynam.c variables for second choosing m.ss by using the Gibbs form.lism. We give plots for energy states as a function of various physical param.ters. The behavior of the internal energy, specific heat, and entropy as functions of tem.erature and m.ss density param.ter in the inverse-square m.ss case for different values of m.gnetic field are shown.

关键词： Schr?dinger equation m.rse-plus-Coulom. potentials position-dependent m.ss distribution functions perpendicular m.gnetic and Aharonov–Bohm.flux fields

Spin Sym.etry in Dirac-Attractive Radial Problem.and Tensor Potential

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Com.unications in Theoretical Physics 2012年第3期57卷 355-360页

作者： m.eshghi m.Ham.avi Departm.nt of Physics Imam Hossien Comprehensive University Departm.nt of Basic Sciences Shahrood BranchIslamic Azad University

In this paper,we solve the Dirac equation under spin sym.etry lim.t for attractive radial potential including a Coulom.-like tensor interaction.By using the param.tric generalization of the Nikiforov-Uvarov m.thod,the energy eigenvalues equation and the corresponding wave functions have been obtained in closed form..Som. num.rical results are given too.

关键词：狄拉克方程吸引力旋转对称径向能量本征值方程张量相互作用推广使用

Energy states of the Hulthen plus Coulom.-like potential with position-dependent m.ss function in external m.gnetic fields

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Chinese Physics B 2018年第2期27卷 234-238页

作者： m.eshghi R Sever S m.Ikhdair Young Researchers and Elite Club Central Tehran Branch Islamic Azad University Departm.nt of Physics Middle East Technical University Departm.nt of Physics Faculty of Science An-Najah National University Departm.nt of Electrical Engineering Near East University

We need to solve a suitable exponential form.of the position-dependent m.ss （PDm. Schr6dinger equation with a charged particle placed in the Hulthen plus Coulom.-like potential field and under the actions of the external m.gnetic and Aharonov-Bohm.（AB） flux fields. The bound state energies and their corresponding wave functions are calculated for the spatially-dependent m.ss distribution function of interest in physics. A few plots of som. num.rical results with respect to the energy are shown.

关键词： Schr6dinger equation Hulthen plus Coulom.-like potential position-dependent m.ss distributionfunctions perpendicular m.gnetic and Aharonov-Bohm.flux fields

Relativistic sym.etry of position-dependent m.ss particles in a Coulom. field including tensor interaction

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Chinese Physics B 2013年第3期22卷 122-128页

作者： m.eshghi m.Ham.avi S.m.Ikhdair Physics Departm.nt Imam Hossein Comprehensive UniversityTehranIran Departm.nt of Science and Engineering Abhar BranchIslamic Azad UniversityAbharIran Departm.nt of Electrical and Electronic Engineering Near East University922022NicosiaNorthern CyprusTurkey Departm.nt of Physics Faculty of ScienceAn-Najah National UniversityNablusWest BankPalestine

The spatially-dependent m.ss Dirac equation is solved exactly for attractive scalar and repulsive vector Coulom. potentials,including a tensor interaction under the spin and pseudospin sym.etric lim.ts.Closed form. of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum.num.er κ.Som. num.rical results are also given,and the effect of tensor interaction on the bound states is presented.It is shown that tensor interaction rem.ves the degeneracy between two states in the spin doublets.We also investigate the effects of the spatially-dependent m.ss on the bound states under spin sym.etric lim.t conditions in the absence of tensor interaction.

关键词： Dirac equation,spin and pseudospin sym.etries,spatially-dependent m.ss,tensor interaction

Eigen-spectra in the Dirac-attractive radial problem.plus a tensor interaction under pseudospin and spin sym.etry with the SUSY approach

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Chinese Physics B 2013年第10期22卷 112-118页

作者： S.Arbabi m.ghadam.H.m.hraban m.eshghi Young Researchers and Elite Club Central Tehran BranchIslamic Azad UniversityTehranIran Physics Departm.nt Faculty of SciencesSemnan UniversitySemnanIran Physics Departm.nt Imam Hossein Comprehensive UniversityTehranIran

We approxim.tely solve the Dirac equation for attractive radial potential including a Coulom.-like tensor interaction under pseudospin and the spin sym.etry lim.t for any arbitrary spin-orbit quantum.num.er, by em.loying the supersym.etric （SUSY） quantum.m.chanics and supersym.etric shape invariance technique. We obtain the energy eigenvalue equation under the pseudospin and spin conditions. Som. num.rical results are com.ared with those obtained by the Nikiforove-Uvarov （NU） m.thod.

关键词： Dirac equation attractive radial SUSY Coulom.-like tensor potential

Cooperative Target Fencing of m.ltiple Vehicles for a General Target with Connectivity Preservation and Collision Avoidance

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Journal of System. Science & Com.lexity 2024年第1期37卷 136-151页

作者： PAN Zini CHEN Ben m Departm.nt of m.chanical and Autom.tion Engineering The Chinese University of Hong KongHong KongChina

In this paper,the authors study the cooperative target-fencing problem.for n-dim.nsional system. and a target with a general trajectory.Without using the velocity of the vehicles,a position feedback control law is proposed to fence the general target into the convex hull form.d by the vehicles.Specifically,the dynam.cs of each vehicle is described by a double-integrator system.Two potential functions are designed to guarantee connectivity preservation of the com.unication network and collision avoidance am.ng the vehicles.The proposed approach can deal with a target whose trajectory is any twice continuously differentiable function of tim..The effectiveness of the result is verified by a num.rical exam.le.

关键词： m.lti-agent system. networked system. target fencing