Investigation of constrained systems with singular higher-order Lagrangians

被引：0

作者：

Muslih, SI ^{[1
]}

El-Zalan, HA

机构：

[1] Al Azhar Univ, Dept Phys, Gaza, Palestine, Israel

[2] Al Azhar Univ, Dept Math, Gaza, Palestine, Israel

来源：

CZECHOSLOVAK JOURNAL OF PHYSICS | 2003年 / 53卷 / 06期

关键词：

Hamiltonian and Lagrangian approach; Hamilton-Jacobi approach; Dirac's approach; higher-order Lagrangians;

D O I：

10.1023/A:1024649324748

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Constrained Hamiltonian systems with singular higher-order Lagrangians are investigated by using two methods: the Dirac's and the Hamilton-Jacobi methods. Three examples are studied and it is shown that the equations of motion which are obtained by these two methods are in exact agreement.

引用

页码：461 / 471

页数：11

共 18 条

[1]

Dirac P.A.M., 1964, LECT QUANTUM MECH

[2] GENERALIZED HAMILTONIAN DYNAMICS [J].

DIRAC, PAM .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1950, 2 (02) :129-148

[3]

Gitman D. M., 1990, Springer Series in Nuclear and Particle Physics

[4]

GULER Y, 1989, J MATH PHYS, V30, P785, DOI 10.1063/1.528397

[5] CANONICAL FORMULATION OF SINGULAR SYSTEMS [J].

GULER, Y .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1992, 107 (12) :1389-1395

[6] HAMILTON-JACOBI THEORY OF CONTINUOUS SYSTEMS [J].

GULER, Y .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1987, 100 (02) :251-266

[7] INTEGRATION OF SINGULAR SYSTEMS [J].

GULER, Y .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1992, 107 (10) :1143-1149

[8]

Hanson A. J., 1976, CONSTRAINED HAMILTON

[9]

Henneaux M., 1992, Quantization of Gauge Systems

[10] On the invalidity of Dirac's conjecture for a system with a singular higher-order Lagrangian [J].

Jin, XY ;

Li, ZP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (47) :10201-10207

← 1 2 →