REDUCTION OF SYMPLECTIC MANIFOLDS THROUGH CONSTANTS OF THE MOTION

被引：12

作者：

MARMO, G ^{[3
]}

SALETAN, EJ

SIMONI, A

机构：

[1] IST NAZL FIS NUCL,NAPOLI,ITALY

[2] NORTHEASTERN UNIV,DEPT PHYS,BOSTON,MA 02115

[3] UNIV NAPLES,IST FIS TEORICA,I-80134 NAPLES,ITALY

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1979年 / 50卷 / 01期

关键词：

D O I：

10.1007/BF02737620

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe the reduction of a dynamical system on a symplectic manifold by the use of constants of the motion. A constant of the motion together with a symplectic structure defines a distribution, from which one obtains a foliation. The Hamiltonian dynamical system is reduced to another of lower dimension on a certain quotient manifold defined by the foliation. The role of the dynamics remaining on the leaves is discussed. © 1979 Società Italiana di Fisica.

引用

页码：21 / 36

页数：16

共 13 条

[1]

ABRAHAM R, 1967, F MECHANICS

[2]

ARNOLD V, 1976, METHODES MATH MECANI, P2

[3]

Brickell F, 1970, DIFFERENTIABLE MANIF

[4]

CARATU G, 1976, NUOVO CIMENTO B, V31, P1

[5]

MARLE GM, 1976, SYMPLECTIC MANIFOLDS

[6] Q-DYNAMICAL SYSTEMS AND CONSTANTS OF MOTION [J].

MARMO, G ;

SIMONI, A .

LETTERE AL NUOVO CIMENTO, 1976, 15 (06) :179-184

[7] AMBIGUITIES IN LAGRANGIAN AND HAMILTONIAN FORMALISM - TRANSFORMATION PROPERTIES [J].

MARMO, G ;

SALETAN, EJ .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1977, 40 (01) :67-89

[8]

MARSDEN J, 1974, REP MATH PHYS, V5, P122

[9]

Meyer Kenneth R., 1973, DYNAMICAL SYSTEMS, P259

[10]

NEHOROSEV NN, 1972, T MOSCOW MATH SOC, V26, P121

← 1 2 →