Real exact solutions to the relativistic spinless particle with modified Rosen-Morse potential and its PT symmetry

被引：21

作者：

Qiang, Wen-Chao ^{[2
]}

Sun, Guo-Hua ^{[1
]}

Dong, Shi-Hai ^{[1
]}

机构：

[1] Inst Politecn Nacl, Dept Fis, Escuela Super Fis & Matemat, Unidad Profes Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico

[2] Xian Univ Architecture & Technol, Fac Sci, Xian 710055, Peoples R China

来源：

ANNALEN DER PHYSIK | 2012年 / 524卷 / 6-7期

关键词：

Bound states; relativistic spinless particle; modified Rosen-Morse potential; Nomanovski polynomials; KLEIN-GORDON EQUATION; BOUND-STATES; SCALAR; VECTOR;

D O I：

10.1002/andp.201200030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The real exact solutions to the relativistic spinless particle with modified RosenMorse potential are presented. The novel issue is that the previously obtained eigenfunctions related to this type of potential in an imaginary variable i sinh (a x) (Dirac case) can be expressed by the real Nomanovski polynomials. The energy levels are calculated numerically. It is interesting to note that the energy levels first increase with the parameter V1 (V1<0) and then decrease with it. In the case of the ???? symmetric version it is found that the eigenvalues are real even though the ???? symmetric potentials are non-Hermitian.

引用

页码：360 / 365

页数：6

共 28 条

[1] Dirac and Klein-Gordon equations with equal scalar and vector potentials [J].

Alhaidari, AD ;

Bahlouli, H ;

Al-Hasan, A .

PHYSICS LETTERS A, 2006, 349 (1-4) :87-97

[2]

[Anonymous], 1994, TABLES INEGRALS SERI

[3]

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

[4] Equivalence of a complex PT-symmetric quartic Hamiltonian and a Hermitian quartic Hamiltonian with an anomaly [J].

Bender, Carl M. ;

Brody, Dorje C. ;

Chen, Jun-Hua ;

Jones, Hugh F. ;

Milton, Kimball A. ;

Ogilvie, Michael C. .

PHYSICAL REVIEW D, 2006, 74 (02)

[5] Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].

Bender, CM ;

Boettcher, S .

PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246

[6] Approximate analytical solutions of Klein-Gordon equation with Hulthen potentials for nonzero angular momentum [J].

Chen, Chang-Yuan ;

Sun, Dong-Sheng ;

Lu, Fa-Lin .

PHYSICS LETTERS A, 2007, 370 (3-4) :219-221

[7] Exactly solvable potentials of the Klein-Gordon equation with the supersymmetry method [J].

Chen, G ;

Chen, ZD ;

Xuan, PC .

PHYSICS LETTERS A, 2006, 352 (4-5) :317-320

[8] Klein-Gordon particles in mixed vector-scalar inversely linear potentials [J].

de Castro, AS .

PHYSICS LETTERS A, 2005, 338 (02) :81-89

[9] Bound states of the Klein-Gordon equation with vector and scalar five-parameter exponential-type potentials [J].

Diao, YF ;

Yi, LZ ;

Jia, CS .

PHYSICS LETTERS A, 2004, 332 (3-4) :157-167

[10]

Dong S.H., 2007, Factorization Method in Quantum Mechanics, V150, DOI DOI 10.1007/978-1-4020-5796-0

← 1 2 3 →