PT-on-PT-symmetric and non-Hermitian Hellmann potential: approximate bound and scattering states with any ?-values

Altu? Arda; Ramazan Sever

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PT-on-PT-symmetric and non-Hermitian Hellmann potential: approximate bound and scattering states with any ?-values

机译：PT- /非PT对称和非Hermitian Hellmann势：具有任何α值的近似束缚态和散射态

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摘要

We investigated the approximate bound-state solutions of the Schr?dinger equation for the PT-/ non-PT-symmetric and non-Hermitian Hellmann potential. Exact energy eigenvalues and corresponding normalized wave functions were obtained. Numerical energy eigenvalues for the bound states were compared with ones obtained before. Scattering state solutions were also studied. Phase shifts of the potential are written in terms of the angular momentum quantum number ?.

机译：我们研究了PT- /非PT对称和非Hermitian Hellmann势的Schrdinger方程的近似束缚态解。获得了精确的能量本征值和相应的归一化波函数。将束缚态的数值能量特征值与之前获得的能量特征值进行比较。还研究了散射状态解。电位的相移用角动量量子数θ表示。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2014年第10期|共7页
作者
Altu? Arda; Ramazan Sever;
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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Hellmann potential; Schr?dinger equation; PT-symmetry;

机译：Hellmann势;Schr？Dinger方程;PT对称;

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专利

1. Comment on: 'PT-on-PT-symmetric and non-Hermitian Hellmann potential: approximate bound and scattering states with any l-values' [J] . Amore Paolo, Fernandez Francisco M. Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2015,第8期

机译：评论：“ PT- /非PT对称和非Hermitian Hellmann势：具有任何l值的近似束缚态和散射态”
2. Approximate bound states solution of the hellmann potential [J] . Hamzavi M., Thylwe K.E., Rajabi A.A. Communications in Theoretical Physics . 2013,第1期

机译：hellmann势的近似束缚态解
3. Approximate Bound States Solution of the Hellmann Potential [J] . M.Hamzavi, K.E.Thylwe, A.A.Rajabi 理论物理通讯（英文版） . 2013,第007期

机译：Hellmann势的近似束缚态解
4. Solutions of the Schr?dinger Equation with Inversely Quadratic Hellmann Plus Inversely Quadratic Potential Using Nikiforov-Uvarov Method [C] . B. I. Ita, C. O. Ehi-Eromosele, A. Edobor-Osoh, International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2014

机译：使用Nikiforov-Uvarov方法反向二次Hellmann Plus的Schrodinger方程的解决方案
5. Ritz values and Arnoldi convergence for non-Hermitian matrices. [D] . Carden, Russell. 2011

机译：非Hermitian矩阵的Ritz值和Arnoldi收敛。
6. A fast algorithm for determining bounds and accurate approximate p-values of the rank product statistic for replicate experiments [O] . Tom Heskes, Rob Eisinga, Rainer Breitling 2014

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7. PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN HELLMANN POTENTIAL: APPROXIMATE BOUND AND SCATTERING STATES WITH ANY ℓ-VALUES [O] . Altug ̆ Arda, Ramazan Sever 2016

机译：pT- /非pT-sYmmETRIC和非Hermitian HELLmaNN潜力：具有任何ℓ值的近似有界和散射态
8. Effect of a non-hermitian crystal potential on the scattering matrix in reflection electron diffraction [R] . Smith, A. E. , Josefsson, T. W. 1994

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PT-on-PT-symmetric and non-Hermitian Hellmann potential: approximate bound and scattering states with any ?-values

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