Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type

被引：4

作者：

Sarlet, W. ^{[1
,2
]}

Prince, G. ^{[2
]}

Mestdag, T. ^{[1
]}

Krupkova, O. ^{[2
,3
]}

机构：

[1] Univ Ghent, Dept Math, B-9000 Ghent, Belgium

[2] La Trobe Univ, Dept Math & Stat, Bundoora, Vic 3086, Australia

[3] Univ Ostrava, Dept Math, CZ-70103 Ostrava, Czech Republic

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 08期

关键词：

INVERSE PROBLEM; HELMHOLTZ CONDITIONS; CALCULUS;

D O I：

10.1088/1751-8113/45/8/085208

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the results obtained in Sarlet and Prince (2010 J. Phys. A: Math. Theor. 43 445204) about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explicit time dependence. The main results are that a time-dependent alternative metric will have constant eigenvalues, and will give rise to a time-dependent coordinate transformation which partially decouples the system.

引用

页数：13

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