The Laplace transform approach for a Dirac isotonic oscillator with a tensor potential in D-dimensions

M Roshanzamir-Nikou; H Goudarzi

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The Laplace transform approach for a Dirac isotonic oscillator with a tensor potential in D-dimensions

机译：具有D维张量势的Dirac等张振荡器的Laplace变换方法

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The exact bound-state energy and the corresponding eigenfunctions of a relativistic spin 1/2 harmonic oscillator with a centripetal barrier, known as an isotonic oscillator including the tensor interaction term are obtained in D-dimensions. In particular, we use the Laplace transform method in the pseudospin symmetry limit. It is shown that our analytical results are consistent with those obtained by Agboola (2012 J. Math. Phys. 53 052302) and Ikhdair and Sever (2011 J. Math. Phys. 52 122108) in the absence of the tensor interaction using different methods. Further, we give some numerical results on the energy levels for different values of related quantum numbers.

机译：具有维向心势垒的相对论自旋1/2谐波振荡器（称为等张振荡器，包括张量相互作用项）的精确束缚态能量和相应的本征函数在D维中获得。特别地，我们在伪自旋对称极限中使用Laplace变换方法。结果表明，在没有使用不同方法进行张量相互作用的情况下，我们的分析结果与Agboola（2012 J. Math。Phys。53 052302）和Ikhdair and Sever（2011 J. Math。Phys。52 122108）获得的结果一致。。此外，我们给出了有关相关量子数的不同值的能级的一些数值结果。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2014年第1期|共10页
作者
M Roshanzamir-Nikou; H Goudarzi;
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正文语种 eng
中图分类物理学;
关键词
Dirac equation; pseudospin symmetry; isotonic oscillator; tensor interaction; Laplace transform;

机译：狄拉克方程;拟自旋对称性;等张振荡器;张量相互作用;拉普拉斯变换;

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1. The Laplace transform approach for a Dirac isotonic oscillator with a tensor potential in D-dimensions [J] . M Roshanzamir-Nikou, H Goudarzi Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2014,第1期

机译：具有D维张量势的Dirac等张振荡器的Laplace变换方法
2. Bound States for Pseudoharmonic Potential of the Dirac Equation with Spin and Pseudo-Spin Symmetry via Laplace Transform Approach [J] . Biswas B., Debnath S. Acta Physica Polonica . 2016,第3期

机译：利用Laplace变换方法求解具有自旋和伪自旋对称性的Dirac方程的伪谐波势的束缚态
3. Exact spin and pseudo-spin symmetric solutions of the dirackratzer problem with a tensor potential via laplace transform approach [J] . Arda A., Sever R. Modern Physics Letters, A . 2012,第30期

机译：带有张量势的德拉克拉泽问题的精确自旋和伪自旋对称解，通过拉普拉斯变换方法
4. Bound State Solution of Dirac Equation for 3D Harmonics Oscillator Plus Trigonometric Scarf Noncentral Potential Using SUSY QM Approach [C] . C. Cari, A. Suparmi International Conference on Advances in Nuclear Science and Engineering . 2014

机译：3D谐波振荡器的DIAC方程的绑定状态解和使用SUSY QM方法的三角围巾非中心潜力
5. APPLICATION OF THE DIRAC DELTA FUNCTION, THE HEAVISIDE UNIT FUNCTION, ANDTHE LAPLACE TRANSFORM TO SOME BOUNDARY VALUE PROBLEMS IN MECHANICS. [D] . LIBER, THEODORE -1

机译：DIRAC三角函数，重载单位函数和Laplace变换在力学中某些边值问题中的应用。
6. Novel characteristics of energy spectrum for 3D Dirac oscillator analyzed via Lorentz covariant deformed algebra [O] . Malika Betrouche, Mustapha Maamache, Jeong Ryeol Choi -1

机译：通过洛伦兹协变变形代数分析的3D Dirac振荡器能谱的新特性
7. Exact Spin and Pseudo-Spin Symmetric Solutions of the Dirac-Kratzer Problem with a tensor potential via Laplace Transform Approach [O] . Arda, Altug, Sever, Ramazan 2012

机译：Dirac-Kratzer的精确自旋和伪自旋对称解拉普拉斯变换方法的张量势问题
8. Simulation of the Laplace Transform by Means of D.C. Potential in Semiconductor Materials [R] . Huebschmann, E. C., Pender, C. W. 1970

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The Laplace transform approach for a Dirac isotonic oscillator with a tensor potential in D-dimensions

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