Tensor Lagrangians, Lagrangians Equivalent to the Hamilton-Jacobi Equation and Relativistic Dynamics

被引：1

作者：

Gersten, Alexander ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel

来源：

FOUNDATIONS OF PHYSICS | 2011年 / 41卷 / 01期

关键词：

Scalar Lagrangians; Tensor Lagrangians; Hamilton-Jacobi equation; Relativistic dynamics; ELECTROMAGNETIC-FIELD; VECTOR;

D O I：

10.1007/s10701-009-9352-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We deal with Lagrangians which are not the standard scalar ones. We present a short review of tensor Lagrangians, which generate massless free fields and the Dirac field, as well as vector and pseudovector Lagrangians for the electric and magnetic fields of Maxwell's equations with sources. We introduce and analyse Lagrangians which are equivalent to the Hamilton-Jacobi equation and recast them to relativistic equations.

引用

页码：88 / 98

页数：11

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