ALGEBRAIC-SOLUTION OF AN ANISOTROPIC RING-SHAPED OSCILLATOR

被引：19

作者：

BOSCHI, H ^{[1
]}

VAIDYA, AN ^{[1
]}

机构：

[1] UNIV FED RIO DE JANEIRO,INST FIS,BR-21944 RIO DE JANEIRO,RJ,BRAZIL

来源：

PHYSICS LETTERS A | 1990年 / 145卷 / 2-3期

关键词：

D O I：

10.1016/0375-9601(90)90193-R

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using an algebraic technique related to the SO (2, 1) group we construct the Green function for the potential ar2 + b(r sin θ)-2 + c(r cos θ)-2 + dr2 sin2θ + er2 cos2θ. The energy spectrum and the normalized wave functions are also obtained. © 1990.

引用

页码：69 / 73

页数：5

共 15 条

[1]

[Anonymous], 1996, TABLES INTEGRALS SER

[2]

BARUT AO, 1972, DYNAMICAL GROUPS GEN

[3] AN EXACT SOLUTION OF A RING-SHAPED OSCILLATOR PLUS A C SEC2-THETA/R2 POTENTIAL [J].

CARPIOBERNIDO, MV ;

BERNIDO, CC .

PHYSICS LETTERS A, 1989, 134 (07) :395-399

[4] ALGEBRAIC TREATMENT OF A DOUBLE RING-SHAPED OSCILLATOR [J].

CARPIOBERNIDO, MV ;

BERNIDO, CC .

PHYSICS LETTERS A, 1989, 137 (1-2) :1-3

[5] EXACT PATH INTEGRAL FOR THE RING POTENTIAL [J].

CHETOUANI, L ;

GUECHI, L ;

HAMMANN, TF .

PHYSICS LETTERS A, 1987, 125 (6-7) :277-281

[6] ENUMERATION OF POTENTIALS FOR WHICH ONE-PARTICLE SCHROEDINGER EQUATIONS ARE SEPARABLE [J].

EISENHART, LP .

PHYSICAL REVIEW, 1948, 74 (01) :87-89

[7] MOTION OF A BODY IN A RING-SHAPED POTENTIAL [J].

HARTMANN, H .

THEORETICA CHIMICA ACTA, 1972, 24 (2-3) :201-&

[8] DYNAMIC INVARIANCE ALGEBRA OF THE HARTMANN POTENTIAL [J].

KIBLER, M ;

WINTERNITZ, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (13) :4097-4108

[9] A SYSTEMATIC SEARCH FOR NONRELATIVISTIC SYSTEMS WITH DYNAMICAL SYMMETRIES .I. INTEGRALS OF MOTION [J].

MAKAROV, AA ;

SMORODIN.JA ;

VALIEV, K ;

Winternitz, P .

NUOVO CIMENTO A, 1967, 52 (04) :1061-+

[10] THE O(2.1) ALGEBRA AND THE ELECTRON GREEN-FUNCTION IN A COULOMB FIELD [J].

MILSHTEIN, AI ;

STRAKHOVENKO, VM .

PHYSICS LETTERS A, 1982, 90 (09) :447-450

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