SO(2,1) LIE-ALGEBRA AND THE GREEN-FUNCTIONS FOR THE CONDITIONALLY EXACTLY SOLVABLE POTENTIALS

被引：8

作者：

DUTRA, AD ^{[1
]}

BOSCHIFILHO, H ^{[1
]}

机构：

[1] UNIV FED RIO DE JANEIRO, INST FIS, BR-21945 RIO DE JANEIRO, BRAZIL

来源：

PHYSICAL REVIEW A | 1994年 / 50卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.50.2915

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The Green's functions of the recently discovered conditionally exactly solvable potentials are computed. This is done through the use of a second-order differential realization of the so(2,1) Lie algebra. So we present the dynamical symmetry underlying the solvability of such potentials and show that they belong to a general class of solvable and partially solvable potentials.

引用

页码：2915 / 2920

页数：6

共 37 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS F

[2] 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

[3] TRANSITION PROBABILITIES OF HYDROGEN ATOM FROM NONCOMPACT DYNAMICAL GROUPS [J].

BARUT, AO ;

KLEINERT, H .

PHYSICAL REVIEW, 1967, 156 (05) :1541-&

[4] 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

[5] ALGEBRAIC-SOLUTION OF AN ANISOTROPIC RING-SHAPED OSCILLATOR [J].

BOSCHI, H ;

VAIDYA, AN .

PHYSICS LETTERS A, 1990, 145 (2-3) :69-73

[6] GREEN-FUNCTIONS THROUGH SO(2, 1) LIE-ALGEBRA IN NONRELATIVISTIC QUANTUM-MECHANICS [J].

BOSCHI, H ;

VAIDYA, AN .

ANNALS OF PHYSICS, 1991, 212 (01) :1-27

[7] ALGEBRAIC-SOLUTION OF AN ANISOTROPIC NONQUADRATIC POTENTIAL [J].

BOSCHIFILHO, H ;

VAIDYA, AN .

PHYSICS LETTERS A, 1990, 149 (7-8) :336-340

[8]

BOSCHIFILHO H, 1991, J PHYS A, V23, P4981

[9] SINGLE-VARIABLE REALIZATION OF THE SU(1,1) SPECTRUM GENERATING ALGEBRA AND DISCRETE EIGENVALUE SPECTRA OF A CLASS OF POTENTIALS [J].

BRAJAMANI, S ;

SINGH, CA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (15) :3421-3430

[10] ALGEBRAIC SOLUTION OF A SHORT-RANGE POTENTIAL PROBLEM [J].

CORDERO, P ;

HOJMAN, S .

LETTERE AL NUOVO CIMENTO, 1970, 4 (24) :1123-&

← 1 2 3 4 →