PATH INTEGRAL TREATMENT OF THE HYDROGEN-ATOM IN A CURVED SPACE OF CONSTANT CURVATURE .2. HYPERBOLIC SPACE

被引：41

作者：

BARUT, AO

INOMATA, A

JUNKER, G

机构：

[1] SUNY ALBANY,DEPT PHYS,ALBANY,NY 12222

[2] UNIV WURZBURG,INST PHYS,W-8700 WURZBURG,GERMANY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 07期

关键词：

D O I：

10.1088/0305-4470/23/7/023

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The path integral treatment of the hydrogen atom in a hyperbolic space is discussed. The authors show by mapping the radial path integral into the SU(1,1) group manifold that the system has a dynamical SU(1,1) symmetry. The energy spectrum and normalised energy eigenfunctions are calculated. In the flat-space limit, the standard hydrogen spectrum and corresponding normalised wavefunctions are regained.

引用

页码：1179 / 1190

页数：12

共 22 条

[1] QUANTUM CHAOS OF THE HADAMARD-GUTZWILLER MODEL [J].

AURICH, R ;

SIEBER, M ;

STEINER, F .

PHYSICAL REVIEW LETTERS, 1988, 61 (05) :483-487

[2] CHAOS ON THE PSEUDOSPHERE [J].

BALAZS, NL ;

VOROS, A .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1986, 143 (03) :109-240

[3] ALGEBRAIC TREATMENT OF 2ND POSCHL-TELLER, MORSE-ROSEN AND ECKART EQUATIONS [J].

BARUT, AO ;

INOMATA, A ;

WILSON, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (13) :4083-4096

[4] PATH INTEGRAL TREATMENT OF THE HYDROGEN-ATOM IN A CURVED SPACE OF CONSTANT CURVATURE [J].

BARUT, AO ;

INOMATA, A ;

JUNKER, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (18) :6271-6280

[5] A NEW REALIZATION OF DYNAMIC GROUPS AND FACTORIZATION METHOD [J].

BARUT, AO ;

INOMATA, A ;

WILSON, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (13) :4075-4082

[6] ON THE DYNAMICAL GROUP OF THE KEPLER-PROBLEM IN A CURVED SPACE OF CONSTANT CURVATURE [J].

BARUT, AO ;

WILSON, R .

PHYSICS LETTERS A, 1985, 110 (7-8) :351-354

[7]

BARUT AO, 1980, THEORY GROUP REPRESE, P444

[8]

BOHM M, 1987, J MATH PHYS, V28, P1978, DOI 10.1063/1.527460

[9]

BOHM M, 1988, PATH SUMMATION ACHIE, P469

[10] THE GEOMETRY OF QUANTUM CHAOS [J].

GUTZWILLER, MC .

PHYSICA SCRIPTA, 1985, T9 :184-192

← 1 2 3 →