Exact solutions of the N-dimensional radial Schrodinger equation with the Coulomb potential via the laplace tranform

被引：0

作者：

Chen, G ^{[1
]}

机构：

[1] Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2004年 / 59卷 / 11期

关键词：

bound state; Coulomb potential; Laplace transforms;

D O I：

暂无

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The second-order N-dimensional Schrodinger differential equation with the Coulomb potential is reduced to a first-order differential equation by means of the Laplace transform and the exact bound state solutions are obtained. It is shown that this method solving the Schrodinger equation may serve as a substitute for the factorization approach also in lower dimensions.

引用

页码：875 / 876

页数：2

共 12 条

[1] QUANTIZATION OF ANGULAR-MOMENTUM IN THE N-DIMENSIONAL SPACE [J].

ALJABER, SM .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1995, 110 (08) :993-995

[2] SCALAR CASIMIR EFFECT FOR A D-DIMENSIONAL SPHERE [J].

BENDER, CM ;

MILTON, KA .

PHYSICAL REVIEW D, 1994, 50 (10) :6547-6555

[3] DIMENSIONAL EXPANSION FOR THE ISING LIMIT OF QUANTUM-FIELD THEORY [J].

BENDER, CM ;

BOETTCHER, S .

PHYSICAL REVIEW D, 1993, 48 (10) :4919-4923

[4] The exact solutions of the Schrodinger equation with the Morse potential via Laplace transforms [J].

Chen, G .

PHYSICS LETTERS A, 2004, 326 (1-2) :55-57

[5]

DOETSCH G, 1961, GUIDE APPL LAPLACE T

[6] Hierarchical structure of the atomic orbital wave functions of D-dimensional atom [J].

Hosoya, H .

JOURNAL OF PHYSICAL CHEMISTRY A, 1997, 101 (04) :418-421

[7] THE FACTORIZATION METHOD [J].

INFELD, L ;

HULL, TE .

REVIEWS OF MODERN PHYSICS, 1951, 23 (01) :21-68

[8] The path integration of a relativistic particle on a D-dimensional sphere [J].

Lin, DH .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (09) :3201-3217

[9] HYDROGEN-ATOM AND RELATIVISTIC PI-MESIC ATOM IN N-SPACE DIMENSIONS [J].

NIETO, MM .

AMERICAN JOURNAL OF PHYSICS, 1979, 47 (12) :1067-1072

[10] MULTIDIMENSIONAL EXTENSION OF A WENTZEL-KRAMERS-BRILLOUIN IMPROVEMENT FOR SPHERICAL QUANTUM BILLIARD ZETA-FUNCTIONS [J].

ROMEO, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (08) :4005-4011

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