ERMAKOV SYSTEMS - A GROUP THEORETIC APPROACH

被引：19

作者：

GOVINDER, KS

LEACH, PGL

机构：

[1] Department of Mathematics and Applied Mathematics, University of Natal, Durban

来源：

PHYSICS LETTERS A | 1994年 / 186卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(94)90700-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently Leach [Phys. Lett. A 158 (1991) 102] reported that Ermakov systems have the Lie algebra sl(2, R). Leach also reported the Lie algebra of the Ermakov-Lewis invariant to be sl(2, R). This is misleading and we complete his results. We also determine the general equation invariant under this new symmtery. Finally we find all (four) first integrals for Hamiltonian Ermakov systems.

引用

页码：391 / 395

页数：5

共 50 条

[1] GROUP THEORETIC APPROACH TO DISORDERED-SYSTEMS
PRAHALAD, YS
PHYSICS LETTERS A, 1987, 122 (6-7) : 335 - 337
[2] A group-theoretic approach to covering systems
Jones, Lenny
White, Daniel
ALGEBRA & DISCRETE MATHEMATICS, 2015, 20 (02): : 250 - 262
[3] A new approach to Ermakov systems and applications in quantum physics
Carinena, J. F.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2008, 160 (1): : 51 - 60
[4] A new approach to Ermakov systems and applications in quantum physics
J. F. Cariñena
The European Physical Journal Special Topics, 2008, 160 : 51 - 60
[5] Group theoretic approach to (4
Usman, Muhammad
Hussain, Akhtar
Abd El-Rahman, Magda
Herrera, Jorge
ALEXANDRIA ENGINEERING JOURNAL, 2025, 121 : 18 - 18
[6] GENERALIZED ERMAKOV SYSTEMS
LEACH, PGL
PHYSICS LETTERS A, 1991, 158 (3-4) : 102 - 106
[7] ON GENERALIZED ERMAKOV SYSTEMS
ATHORNE, C
PHYSICS LETTERS A, 1991, 159 (8-9) : 375 - 378
[8] POLYHEDRAL ERMAKOV SYSTEMS
ATHORNE, C
PHYSICS LETTERS A, 1990, 151 (08) : 407 - 411
[9] A group-theoretic approach of quasicrystals
Cotfas, N
FERROELECTRICS, 2001, 250 (1-4) : 317 - 320
[10] Feedback stabilization: a group theoretic approach
Bokor, J.
Szabo, Z.
IFAC PAPERSONLINE, 2016, 49 (09): : 146 - 151

← 1 2 3 4 5 →