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Chinese Physics B 2022年第5期31卷 107-112页

作者： Wen-Li Chen I B Okon School of Intelligent Science and Information Engineering Xi’an Peihua UniversityXi’an 710125China Theoretical Physics Group Department of PhysicsUniversity of UyoNigeria

Employing the Pekeris-type approximation to deal with the pseudo-centrifugal term,we analytically study the pseudospin symmetry of a Dirac nucleon subjected to equal scalar and vector modified Rosen-Morse potential including the spin-orbit coupling term by using the nikiforov-uvarov method and supersymmetric quantum mechanics *** complex eigenvalue equation and the total normalized wave functions expressed in terms of Jacobi polynomial with arbitrary spin-orbit coupling quantum number k are presented under the condition of pseudospin *** eigenvalue equations for both methods reproduce the same result to affirm the mathematical accuracy of analytical *** numerical solutions obtained for different adjustable parameters produce degeneracies for some quantum number.

关键词： Dirac equation modified Rosen-Morse potential nikiforov-uvarov method supersymmetric quantum mechanics approach

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

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

Solutions of Woods-Saxon Potential with Spin-Orbit and Centrifugal Terms through nikiforov-uvarov method

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Communications in Theoretical Physics 2012年第11期58卷 739-743页

作者： M.R. Pahlavani S.A. Alavi Department of Nuclear Physics Faculty of SciencesMazandaran University

In this study, the analytical solutions of the radial Schr6dinger equation for the central Woods-Saxon potential together with spin-orbit interaction and centrifugal terms have been derived by using nikiforov-uvarov method. The energy eigenvalues and corresponding eigenfunctions of nucleons have been obtained for various values of n, l, and j quantum numbers. The obtained results using this method are in satisfactory agreement with available data in the speciM case.

关键词： chrSdinger equation spin-orbit interaction Woods-Saxon potential nikiforov-uvarov method

Relativistic symmetries of Deng Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interactions

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Chinese Physics B 2014年第10期23卷 45-55页

作者： Akpan N.Ikot S.Zarrinkamar B.H.Yazarloo H.Hassanabadi Theoretical Physics Group Department of Physics University of Port Harcourt Choba PMB 5323 Port Harcourt Nigeria Department of Basic Sciences Garmsar Branch Islamic Azad University Garmsar Iran Department of Basic Sciences Shahrood Branch Islamic Azad University Shahrood Iran

Relativistic symmetries of the Dirac equation under spin and pseudo-spin symmetries are investigated and a combina- tion of Deng-Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interaction terms are considered. The energy equation is obtained by using the nikiforov-uvarov method and the corresponding wave functions are expressed in terms of the hypergeometric functions. The effects of the Coulomb and Yukawa tensor interactions are numerically discussed as well.

关键词： Deng-Fan potential Eckart potential nikiforov-uvarov method spin and pseudo-spin symme-tries

Approximate solution of the spin-one Duffin-Kemmer-Petiau(DKP) equation under a non-minimal vector Yukawa potential in(1+1)-dimensions

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Chinese Physics B 2012年第12期21卷 74-77页

作者： H.Hassanabadi Z.Molaee Physics Department Shahrood University of Technology Physics Department Semnan University

We solve the Duffin-Kemmer-Petiau （DKP） equation with a non-minimal vector Yukawa potential in （1＋1）- dimensional spa^e-time for spin-1 particles. The nikiforov uvarov method is used in the calculations, and the ... 详细信息

关键词： DKP equation non-minimal vector Yukawa potential nikiforov-uvarov method

The spin-one Duffin Kemmer Petiau equation in the presence of pseudo-harmonic oscillatory ring-shaped potential

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Chinese Physics B 2013年第10期22卷 107-111页

作者： H.Hassanabadi M.Kamali Physics Department Shahrood University of Technology

The Duffin-Kemmer-Petiau equation （DKP） is studied in the presence of a pseudo-harmonic oscillatory ring-shaped potential in （1 ＋ 3）-dimensional space-time for spin-one particles. The exact energy eigenvalues and... 详细信息

关键词： DKP equation pseudo-harmonic oscillatory ring-shaped potential nikiforov-uvarov method en-ergy eigenvalues eigenfunctions

Effects of external fields on a two-dimensional Klein-Gordon particle under pseudo-harmonic oscillator interaction

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Chinese Physics B 2012年第11期21卷 68-73页

作者： Sameer M.Ikhdair Majid Hamzavi Physics Department Near East University Department of Basic Sciences Shahrood BranchIslamic Azad University

We study the effects of the perpendicular magnetic and Aharonov-Bohm （AB） flux fields on the energy levels of a two-dimensional （2D） Klein Gordon （KG） particle subjected to an equal scalar and vector pseudo-harmonic oscillator （PHO）. We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential param- eter, magnetic field strength, AB flux field, and magnetic quantum number by means of the nikiforov uvarov （NU） method. The non-relativistic limit, PHO, and harmonic oscillator solutions in the existence and absence of external fields are also obtained.

关键词： Klein-Gordon equation two-dimensional pseudo-harmonic oscillator (PHO) potential,magnetic and Aharonov-Bohm (AB) flux fields nikiforov-uvarov method

Generalised tanh-shaped hyperbolic potential: Klein–Gordon equation's bound state solution

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Communications in Theoretical Physics 2023年第7期75卷 22-32页

作者： V H Badalov S V Badalov Institute for Physical Problems Baku State University1148 BakuAzerbaijan Theoretical Materials Physics Paderborn UniversityD-33098 PaderbornGermany Theoretical PhysicsⅦ University of BayreuthD-95440 BayreuthGermany

The development of potential theory heightens the understanding of fundamental interactions in quantum *** this paper,the bound state solution of the modified radial Klein–Gordon equation is presented for generalised tanh-shaped hyperbolic potential from the nikiforov–uvarov *** resulting energy eigenvalues and corresponding radial wave functions are expressed in terms of the Jacobi polynomials for arbitrary l *** is also demonstrated that energy eigenvalues strongly correlate with potential parameters for quantum *** particular cases,the generalised tanh-shaped hyperbolic potential and its derived energy eigenvalues exhibit good agreement with the reported ***,the rovibrational energies are calculated for three representative diatomic molecules,namely H2,HCl and *** lowest excitation energies are in perfect agreement with experimental ***,the potential model is displayed to be a viable candidate for concurrently prescribing numerous quantum systems.

关键词： Klein-Gordon equation hyperbolic potential nikiforov-uvarov method diatomic molecules

Approximate Bound States Solution of the Hellmann Potential

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Communications in Theoretical Physics 2013年第7期60卷 1-8页

作者： M. Hamzavi K.E. Thylwe and A.A. Rajabi Department of Science and Engineering Abhar Branch Islamic Azad University KTH-Mechanics Royal Institute of Technology Physics Department Shahrood University of Technology

The Hellmann potential, which is a superposition of an attractive Coulomb potential -air and a Yutmwa potential b e-δr /r , is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric nikiforov-uvarov （NU） method, we have obtained the approximate analytical solutions of the radial Schr6dinger equation （SE） for the Hellmann potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented, which show good agreement with a numerical amplitude phase method and also those previously obtained by other methods. As a particular case, we find the energy levels of the pure Coulomb potential.

关键词： Schrodinger equation Hellmann potential nikiforov-uvarov method