SUBGROUPS OF LIE-GROUPS AND SEPARATION OF VARIABLES

被引:33
作者
MILLER, W [1 ]
PATERA, J [1 ]
WINTERNITZ, P [1 ]
机构
[1] UNIV MONTREAL,MATH RECH CTR,MONTREAL H3C 3J7,QUEBEC,CANADA
关键词
D O I
10.1063/1.524896
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:251 / 260
页数:10
相关论文
共 55 条
[1]   SUBGROUPS OF EUCLIDEAN GROUP AND SYMMETRY BREAKING IN NONRELATIVISTIC QUANTUM-MECHANICS [J].
BECKERS, J ;
PATERA, J ;
PERROUD, M ;
WINTERNITZ, P .
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (01) :72-83
[2]   INTEGRITY BASES, INVARIANT OPERATORS AND STATE LABELING PROBLEM FOR FINITE SUBGROUPS OF SO3 [J].
BICKERSTAFF, RP ;
WYBOURNE, BG .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (07) :1051-1068
[3]   SEPARABLE COORDINATES FOR 4-DIMENSIONAL RIEMANNIAN SPACES [J].
BOYER, CP ;
KALNINS, EG ;
MILLER, W .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (03) :285-302
[4]   LIE THEORY AND SEPARATION OF VARIABLES .6. EQUATION IUT + DELTA2 U =O [J].
BOYER, CP ;
KALNINS, EG ;
MILLER, W .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (03) :499-511
[5]   LIE THEORY AND SEPARATION OF VARIABLES .7. HARMONIC-OSCILLATOR IN ELLIPTIC COORDINATES AND INCE POLYNOMIALS [J].
BOYER, CP ;
KALNINS, EG ;
MILLER, W .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (03) :512-517
[6]   SYMMETRY BREAKING INTERACTIONS FOR TIME-DEPENDENT SCHRODINGER EQUATION [J].
BOYER, CP ;
SHARP, RT ;
WINTERNITZ, P .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (08) :1439-1451
[7]   SYMMETRY AND SEPARATION OF VARIABLES FOR HELMHOLTZ AND LAPLACE EQUATIONS [J].
BOYER, CP ;
KALNINS, EG ;
MILLER, W .
NAGOYA MATHEMATICAL JOURNAL, 1976, 60 (FEB) :35-80
[8]   OPTICAL GROUP AND ITS SUBGROUPS [J].
BURDET, G ;
PATERA, J ;
PERRIN, M ;
WINTERNITZ, P .
JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (08) :1758-1780
[9]  
BURDET G, 1978, ANN SCI MATH QUEBEC, V2, P81
[10]   POLYNOMIAL TENSORS FOR DOUBLE POINT GROUPS [J].
DESMIER, PE ;
SHARP, RT .
JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (01) :74-82