CONSTRAINED DYNAMICS AND EXTERIOR DIFFERENTIAL-SYSTEMS

被引：5

作者：

HARTLEY, D

TUCKER, RW

TUCKEY, PA

机构：

[1] School of Physics and Materials, University of Lancaster, Lancaster

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 22期

关键词：

D O I：

10.1088/0305-4470/24/22/009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Dirac analysis of constrained Hamiltonian mechanics is one of the conventional precursors to the quantization of classical systems. In this paper the analysis is reformulated in the language of exterior differential systems, starting from the Lagrangian, moving through the generation of primary and secondary constraints and leading to the construction of symmetry generators for gauge symmetries. This reformulation extends the procedure to non-coordinate systems. A computer algebra implementation of the procedure in REDUCE is also described.

引用

页码：5253 / 5265

页数：13

共 17 条

[11]

Hearn A. C., 1987, REDUCE USERS MANUAL

[12] GAUGE-INVARIANCE AND DEGREE OF FREEDOM COUNT [J].