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

Alexander Gersten

doi:10.1007/s10701-009-9352-3

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

Alexander Gersten

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	88-98
Number of pages	11
Journal	Foundations of Physics
Volume	41
Issue number	1
DOIs	https://doi.org/10.1007/s10701-009-9352-3
State	Published - 1 Jan 2011

Keywords

Hamilton-Jacobi equation
Relativistic dynamics
Scalar Lagrangians
Tensor Lagrangians

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1007/s10701-009-9352-3

Cite this

@article{194001dc879f484796c226e4607df866,

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

abstract = "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.",

keywords = "Hamilton-Jacobi equation, Relativistic dynamics, Scalar Lagrangians, Tensor Lagrangians",

author = "Alexander Gersten",

year = "2011",

month = jan,

day = "1",

doi = "10.1007/s10701-009-9352-3",

language = "English",

volume = "41",

pages = "88--98",

journal = "Foundations of Physics",

issn = "0015-9018",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Tensor Lagrangians, Lagrangians Equivalent to the Hamilton-Jacobi Equation and Relativistic Dynamics

AU - Gersten, Alexander

PY - 2011/1/1

Y1 - 2011/1/1

N2 - 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.

AB - 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.

KW - Hamilton-Jacobi equation

KW - Relativistic dynamics

KW - Scalar Lagrangians

KW - Tensor Lagrangians

UR - http://www.scopus.com/inward/record.url?scp=78651482561&partnerID=8YFLogxK

U2 - 10.1007/s10701-009-9352-3

DO - 10.1007/s10701-009-9352-3

M3 - Article

AN - SCOPUS:78651482561

SN - 0015-9018

VL - 41

SP - 88

EP - 98

JO - Foundations of Physics

JF - Foundations of Physics

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this