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Dirac oscillator in noncommutative space

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Chinese Physics C 2014年第6期38卷 23-29页

作者： H.Hassanabadi s.s.Hosseini s.zarrinkamar Physics Department Shahrood University Shahrood Iran P. O. Box: ***-316 Shahrood Iran Department of Basic sciences Garmsar Branch Islamic Azad University Garmsar Iran

We study the Dirac oscillator problem in the presence of the Aharonov-Bohm effect with the harmonic potential in commutative and noncommutative spaces in s-= V and s =-V symmetry limits. We calculate exact energy levels and the corresponding eigenfunctions by the Nikiforov-Uvarov （NU） method and report the impact of the spin and the magnetic flux on the problem. Helpful numerical data is included.

关键词： Dirac oscillator Aharonov-Bohm effect harmonic potential noncommutative space Nikiforov-Uvarov(NU) method

Exact solutions of the Dirac equation with Pschl-Teller double-ring-shaped Coulomb potential via the Nikiforov-Uvarov method

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Chinese Physics B 2013年第3期22卷 117-121页

作者： E.Maghsoodi H.Hassanabadi s.zarrinkamar Physics Department Shahrood University of TechnologyShahroodIran Department of Basic sciences Garmsar BranchIslamic Azad UniversityGarmsarIran

Exact analytical solutions of the Dirac equation are reported for the Poschl-Teller double-ring-shaped Coulomb *** radial,polar,and azimuthal parts of the Dirac equation are solved using the Nikiforov-Uvarov method,an... 详细信息

关键词： Dirac equation Poschl-Teller double-ring-shaped Coulomb potential Nikiforov-Uvarov method

Exact solutions of D-Dimensional schr(o|¨)dinger Equation for an Energy-Dependent Potential by NU Method

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Communications in Theoretical Physics 2011年第4期55卷 541-544页

作者： H.Hassanabadi s.zarrinkamar A.A.Rajabi Physics Department Shahrood University of Technology Islamic Azad University Garmsar BranchDepartment of Basic Sciences

We study the D-dimensional schrodinger equation for an energy-dependent Hamiltonian that linearlydepends on energy and quadraticJy on the relative ***,via the Nikiforov-Uvarov (NU) method,we calculatethe corresponding... 详细信息

关键词：能源方程 D维精确解相对距离特征函数哈密顿特征值

spin and Pseudospin symmetries of Dirac Equation and the Yukawa Potential as the Tensor Interaction

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Communications in Theoretical Physics 2012年第12期58卷 807-814页

作者： H.Hassanabadi E.Maghsoodi s.zarrinkamar Physics Department Shahrood University of Technology Department of Basic sciences Garmsar Branch Islamic Azad University

Considering of a tensor interaction in Dirac equation removes the degeneracy in spin and pseudospin doublets and consequently leads to results consistent with the experimental data. Here, instead of the commonly used Coulomb or linear terms, we investigate a tensor interaction of Yukawa form. We obtain arbitrary state solutions of Dirac equation under vector, scalar and tensor Yukawa potentials via a physical approximation and the Nikiforov-Uvarov methodology. The solutions are discussed in detail.

关键词：相互作用 Yukawa势狄拉克方程张量自旋 Dirac方程对称性实验数据

Approximate solution of D-Dimensional Klein-Gordon Equation with Hulthn-Type Potential via sUsYQM

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Communications in Theoretical Physics 2011年第9期56卷 423-428页

作者： H.Hassanabadi s.zarrinkamar H.Rahimov Physics Department Shahrood University of TechnologyShahroodIran P.O.Box ***-316 ShahroodIran Department of Basic sciences Garmsar BranchIslamic Azad University Computer Engineering Department Shahrood University of Technology

Approximate analytical solutions of the D-dimensional Klein-Gordon equation are obtained for the scalarand vector general Hulthen-type potential and position-dependent mass with any l by using the concept of supersymm... 详细信息

关键词： Klein 近似解析解 en型 D维方程超对称量子力学位置相关数值参数

The nonrelativistic oscillator strength of a hyperbolic-type potential

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Chinese Physics B 2013年第6期22卷 105-109页

作者： H.Hassanabadi s.zarrinkamar B.H.Yazarloo Department of Basic sciences Shahrood BranchIslamic Azad UniversityShahroodIran Department of Basic sciences Garmsar BranchIslamic Azad UniversityGarmsarIran

We consider the D-dimensional schrsdinger equation under the hyperbolic potential V0（1 -coth（ar））＋ 171 （1 - coth（ar））2. Using a Pekeris-type approximation, the approximate analytical solutions of the problem are obtained via the supersymmetric quantum mechanics. The behaviors of energy eigenvalues versus dimension are discussed for various quantum numbers. Useful expectation values as well as the oscillator strength are obtained.

关键词： schroedinger equation D-dimensional space hyperbolic potential supersymmetry quantum me-chanics oscillator strength

Approximate solutions of Dirac equation with a ring-shaped Woods-saxon potential by Nikiforov-Uvarov method

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Chinese Physics C 2013年第11期37卷 20-24页

作者： H.Hassanabadi E.Maghsoodi s.zarrinkamar Department of Basic sciences Shahrood Branch Islamic Azad UniversityShahrood Iran Department of Basic sciences Garmsar Branch Islamic Azad UniversityGarmsar Iran

An approximate analytical solution of the Dirac equation is obtained for the ring-shaped Woods-saxon potential within the framework of an exponential approximation to the centrifugal term. The radial and angular parts of the equation are solved by the Nikiforov-Uvarov method. The general results obtained in this work can be reduced to the standard forms already present in the literature.

关键词： Dirac equation Woods-saxon and ring-shaped potentials Nikiforov-Uvarov method

Approximate any 1-state solutions of the Dirac equation for modified deformed Hylleraas potential by using the Nikiforov—Uvarov method

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Chinese Physics B 2012年第12期21卷 57-65页

作者： H.Hassanabadi E.Maghsoodi s.zarrinkamar H.Rahimov Physics Department Shahrood University of TechnologyShahroodIran Department of Basic sciences Garmsar BranchIslamic Azad UniversityGarmsarIran Computer Engineering Department Shahrood University of TechnologyShahroodIran

We investigate the spin and pseudospin symmetries of the Dirac equation under modified deformed Hylleraas potential via a Pekeris approximation and the Nikiforov-Uvarov technique. A tensor interaction of Coulomb form is considered and its degeneracy-removing role is discussed in detail. The solutions are reported for an arbitrary quantum number in a compact form and useful numerical data are included.

关键词： Dirac equation spin symmetry pseudospin symmetry modified Hylleraas potential

The Yukawa potential in semirelativistic formulation via supersymmetry quantum mechanics

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Chinese Physics B 2013年第6期22卷 171-174页

作者： s.Hassanabadi M.Ghominejad s.zarrinkamar H.Hassanabadi Physics Department Semnan UniversitySemnanIran Department of Basic sciences Garmsar BranchIslamic Azad UniversityGarmsarIran Department of Basic sciences Shahrood BranchIslamic Azad UniversityShahroodIran

We apply an approximation to the centrifugal term and solve the two-body spinless-salpeter equation （ssE） with the Yukawa potential via the supersymmetric quantum mechanics （sUsYQM） for arbitrary quantum numbers. ... 详细信息

关键词： spinless-salpeter equation two-body-system supersymmetry quantum mechanics Yukawa potential