SHIFTED 1/N EXPANSION FOR THE KLEIN-GORDON EQUATION WITH VECTOR AND SCALAR POTENTIALS

被引：27

作者：

MUSTAFA, O

SEVER, R

机构：

[1] Department of Physics, Middle East Technical University

来源：

PHYSICAL REVIEW A | 1991年 / 44卷 / 07期

关键词：

D O I：

10.1103/PhysRevA.44.4142

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The shifted 1/N expansion method has been extended to solve the Klein-Gordon equation with both scalar and vector potentials. The calculations are carried out to the third-order correction in the energy series. The analytical results are applied to a linear scalar potential to obtain the relativistic energy eigenvalues. Our numerical results are compared with those obtained by Gunion and Li [Phys. Rev. D 12, 3583 (1975)].

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页码：4142 / 4144

页数：3

相关论文

共 17 条

[1]

ADAME FD, 1989, PHYS LETT A, V136, P175, DOI DOI 10.1016/0375-9601(89)90555-0

[2] LARGE-N ITERATIVE SOLUTION OF THE DIRAC-EQUATION [J].

ATAG, S .

JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (03) :696-699

[3] APPLICATION OF THE SHIFTED 1/N EXPANSION TO THE ROTATIONAL-VIBRATIONAL STATES OF THE H2+ MOLECULE [J].

ATAG, S .

PHYSICAL REVIEW A, 1988, 37 (07) :2280-2283

[4] IMPROVED SHIFTED 1/N EXPANSION [J].

CHRISTIANSEN, H ;

EPELE, LN ;

FANCHIOTTI, H ;

CANAL, CAG .

PHYSICAL REVIEW A, 1989, 40 (04) :1760-1764

[5] SCALAR POTENTIALS IN DIRAC EQUATION [J].

CRITCHFIELD, CL .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (02) :261-266

[6] RELATIVISTIC TREATMENT OF QUARK-CONFINEMENT POTENTIAL [J].

GUNION, JF ;

LI, LF .

PHYSICAL REVIEW D, 1975, 12 (11) :3583-3588

[7] IMPROVED WAVE-FUNCTIONS FOR LARGE-N EXPANSIONS [J].

IMBO, T ;

SUKHATME, U .

PHYSICAL REVIEW D, 1985, 31 (10) :2655-2658

[8] ENERGY EIGENSTATES OF SPHERICALLY SYMMETRIC-POTENTIALS USING THE SHIFTED 1/N EXPANSION [J].

IMBO, T ;

PAGNAMENTA, A ;

SUKHATME, U .

PHYSICAL REVIEW D, 1984, 29 (08) :1669-1681

[9] APPROACH TO THE SHIFTED 1/N EXPANSION FOR THE KLEIN-GORDON EQUATION [J].

MUSTAFA, O ;

SEVER, R .

PHYSICAL REVIEW A, 1991, 43 (11) :5787-5789

[10] SHIFTED LARGE-N EXPANSION FOR THE ENERGY-LEVELS OF RELATIVISTIC-PARTICLES [J].

PANJA, MM ;

DUTT, R .

PHYSICAL REVIEW A, 1988, 38 (08) :3937-3943