ON SUPERSYMMETRIES IN NONRELATIVISTIC QUANTUM-MECHANICS

被引：15

作者：

BECKERS, J ^{[1
]}

DEBERGH, N ^{[1
]}

NIKITIN, AG ^{[1
]}

机构：

[1] ACAD SCI UKSSR,INST MATH,KIEV 4,UKRAINE,USSR

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 01期

关键词：

D O I：

10.1063/1.529954

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out. The study of even supersymmetries is particularly enlightened through the already known symmetries of the corresponding Schrodinger equation. Three tables collect the even, odd, and total supersymmetries as well as the invariance (super)algebras.

引用

页码：152 / 160

页数：9

共 50 条

[1] AXIOMS FOR NONRELATIVISTIC QUANTUM-MECHANICS
GUZ, W
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1977, 16 (04) : 299 - 306
[2] PATH INTEGRATION IN NONRELATIVISTIC QUANTUM-MECHANICS
DEWITTMORETTE, C
MAHESHWARI, A
NELSON, B
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 50 (05): : 255 - 372
[3] PEDAGOGY OF SPIN IN NONRELATIVISTIC QUANTUM-MECHANICS
HALPRIN, A
[J]. AMERICAN JOURNAL OF PHYSICS, 1978, 46 (07) : 768 - 768
[4] NONRELATIVISTIC QUANTUM-MECHANICS IN A NONCOMMUTATIVE SPACE
CHATURVEDI, S
JAGANNATHAN, R
SRIDHAR, R
SRINIVASAN, V
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (03): : L105 - L112
[5] DECAY PROBLEM IN NONRELATIVISTIC QUANTUM-MECHANICS
GRINBERG, YS
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1972, (12): : 38 - 43
[6] CLASSICAL ACTION IN NONRELATIVISTIC QUANTUM-MECHANICS
TRUMAN, A
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (07) : 1499 - 1509
[7] RELATIVISTIC ASPECTS OF NONRELATIVISTIC QUANTUM-MECHANICS
DIEKS, D
NIENHUIS, G
[J]. AMERICAN JOURNAL OF PHYSICS, 1990, 58 (07) : 650 - 655
[8] SPACETIME PROBABILITIES IN NONRELATIVISTIC QUANTUM-MECHANICS
YAMADA, N
TAKAGI, S
[J]. PROGRESS OF THEORETICAL PHYSICS, 1992, 87 (01): : 77 - 91
[9] NONRELATIVISTIC QUANTUM-MECHANICS - CAPRI,AZ
JONES, RB
[J]. NATURE, 1987, 326 (6109) : 208 - 208
[10] NONRELATIVISTIC QUATERNIONIC QUANTUM-MECHANICS IN ONE DIMENSION
DAVIES, AJ
MCKELLAR, BHJ
[J]. PHYSICAL REVIEW A, 1989, 40 (08): : 4209 - 4214

← 1 2 3 4 5 →