ANALYTICAL SOLUTIONS OF THE KLEIN-FOCK-GORDON EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL

被引：31

作者：

Ahmadov, A. I. ^{[1
,3
]}

Aydin, C. ^{[2
,4
]}

Uzun, O. ^{[2
]}

机构：

[1] CERN, Div Theory, Dept Phys, CH-1211 Geneva 23, Switzerland

[2] Karadeniz Tech Univ, Dept Phys, TR-61080 Trabzon, Turkey

[3] Baku State Univ, Inst Phys Problems, AZ-1148 Baku, Azerbaijan

[4] Univ Surrey, Dept Phys, Guildford GU2 7XH, Surrey, England

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2014年 / 29卷 / 01期

关键词：

Nikiforov-Uvarov method; Manning-Rosen; ring-shaped potential; BOUND-STATES; DIRAC-EQUATION; RELATIVISTIC-PARTICLES; SIMILARITY TRANSFORMATION; HARMONIC-OSCILLATORS; SCHRODINGER-EQUATION; VECTOR POTENTIALS; CENTRIFUGAL TERM; SCALAR; SCHEME;

D O I：

10.1142/S0217751X1450002X

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

In this work, on the condition that scalar potential is equal to vector potential, the bound state solutions of the Klein-Fock-Gordon equation of the Manning-Rosen plus ring-shaped like potential are obtained by Nikiforov-Uvarov method. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states. The conclusion also contain central Manning-Rosen, central and noncentral Hulthen potential.

引用

页数：12

共 50 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS F

[2] Schrodinger Equation with Hulthen Potential Plus Ring-Shaped Potential [J].

Agboola, D. .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 55 (06) :972-976

[3] ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED-LIKE POTENTIAL [J].

Ahmadov, H. I. ;

Aydin, C. ;

Huseynova, N. Sh. ;

Uzun, O. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2013, 22 (10)

[4] Solution of the relativistic Dirac-Hulthen problem [J].

Alhaidari, AD .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (22) :5805-5813

[5] L2 series solution of the relativistic Dirac-Morse problem for all energies [J].

Alhaidari, AD .

PHYSICS LETTERS A, 2004, 326 (1-2) :58-69

[6] Solution of the Dirac equation with position-dependent mass in the Coulomb field [J].

Alhaidari, AD .

PHYSICS LETTERS A, 2004, 322 (1-2) :72-77

[7] Graded extension of so(2,1) Lie algebra and the search for exact solutions of the Dirac equation by point canonical transformations [J].

Alhaidari, AD .

PHYSICAL REVIEW A, 2002, 65 (04) :8

[8]

[Anonymous], 1988, Special functions of mathematical physics

[9]

[Anonymous], 1990, EXACT SOLUTION RELAT, DOI DOI 10.1007/978-94-009-1854-2

[10] Hypergeometric-type differential equations: second kind solutions and related integrals [J].

Area, I ;

Godoy, E ;

Ronveaux, A ;

Zarzo, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 157 (01) :93-106

← 1 2 3 4 5 →