Eigen solutions, Shannon entropy and fisher information under the Eckart Manning Rosen potential model

被引：15
作者：
Onate, C. A. [1 ]
Onyeaju, M. C. [2 ]
Ikot, A. N. [2 ]
Idiodi, J. O. A. [3 ]
Ojonubah, J. O. [4 ]
机构：
[1] Landmark Univ, Dept Phys Sci, Omu Aran, Nigeria
[2] Univ Port Harcourt, Dept Phys, Theoret Phys Grp, Port Harcourt, Nigeria
[3] Univ Benin, Theoret Math Phys Sect, Dept Phys, Benin, Nigeria
[4] Fed Coll Educ, Dept Math, Okene, Benin
来源：
JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2017年 / 70卷 / 04期
关键词：
Eigen solutions; Wave equation; Shannon entropy; Fisher information theoretic quantities; KLEIN-GORDON EQUATION; BOUND-STATE SOLUTIONS; SCHRODINGER-EQUATION; ANALYTICAL APPROXIMATIONS; CENTRIFUGAL TERM; POSITION; SYMMETRY; BARRIER; VECTOR; SPIN;
D O I：
10.3938/jkps.70.339
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We solved the Schrodinger equation with a certain approximation to the centrifugal term for an arbitrary angular momentum state with the Eckart Manning Rosen potential. The bound-state energy eigenvalues and the corresponding wave functions have been approximately obtained using the parametric Nikiforov Uvarov method. The solutions of the Schrodinger equation for the Eckart potential, Manning Rosen potential, and Hulth,n potential have been obtained using a certain transformation. The concepts of the Shannon entropy and the Fisher information of a system under the Eckart Manning Rosen potential are investigated in detail. The behavior of the screening parameter and the quantum number n for Fisher information and the Shannon entropy are also investigated.
引用
收藏
页码：339 / 347
页数：9
相关论文
共 48 条
[11]   Fisher information for the position-dependent mass Schrodinger system [J].
Falaye, B. J. ;
Serrano, F. A. ;
Dong, Shi-Hai .
PHYSICS LETTERS A, 2016, 380 (1-2) :267-271
[12]   Eigensolution techniques, their applications and Fisher's information entropy of the Tietz-Wei diatomic molecular model [J].
Falaye, B. J. ;
Oyewumi, K. J. ;
Ikhdair, S. M. ;
Hamzavi, M. .
PHYSICA SCRIPTA, 2014, 89 (11)
[13]   Bound state solutions of the Manning-Rosen potential [J].
Falaye, B. J. ;
Oyewumi, K. J. ;
Ibrahim, T. T. ;
Punyasena, M. A. ;
Onate, C. A. .
CANADIAN JOURNAL OF PHYSICS, 2013, 91 (01) :98-104
[14]  
Gadre SR., 1991, ADV QUANTUM CHEM, V22, P1, DOI [10.1016/S0065-3276(08)60361-5, DOI 10.1016/S0065-3276(08)60361-5]
[15]   A Robertson-type uncertainty principle and quantum Fisher information [J].
Gibilisco, Paolo ;
Imparato, Daniele ;
Isola, Tommaso .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (07) :1706-1724
[16]  
Hammed R.H., 2012, J BASRAH RES, V38, P51
[17]   Approximate Bound States Solution of the Hellmann Potential [J].
Hamzavi, M. ;
Thylwe, K. E. ;
Rajabi, A. A. .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2013, 60 (01) :1-8
[18]   Actual and general Manning-Rosen potentials under spin and pseudospin symmetries of the Dirac equation [J].
Hassanabadi, H. ;
Maghsoodi, E. ;
Zarrinkamar, S. ;
Rahimov, H. .
CANADIAN JOURNAL OF PHYSICS, 2012, 90 (07) :633-646
[19]  
Idiodi J. O. A., 2016, J NAMP, V34, P305
[20]   An improved approximation scheme for the centrifugal term and the Hulthen potential [J].
Ikhdair, S. M. .
EUROPEAN PHYSICAL JOURNAL A, 2009, 39 (03) :307-314
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