Filed approach to classical mechanics

A. Gersten

doi:10.1007/s10701-005-6446-4

Filed approach to classical mechanics

A. Gersten

Department of Physics

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

1 Scopus citations

Abstract

We show that in classical mechanics the momentum may depend only on the coordinates and can thus be considered as a field. We formulate a special Lagrangian formalism as a result of which the momenta satisfy differential equations which depend only on the coordinates. The solutions correspond to all possible trajectories. As a bonus the Hamilton-Jacobi equation results in a very simple way.

Original language	English
Pages (from-to)	1433-1443
Number of pages	11
Journal	Foundations of Physics
Volume	35
Issue number	8
DOIs	https://doi.org/10.1007/s10701-005-6446-4
State	Published - 1 Jan 2005

Keywords

Classical mechanics
Hamilton-Jacobi equation
Momentum field

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1007/s10701-005-6446-4

Cite this

@article{4f518550cc1e4c2fbbf09c30f2b5b576,

title = "Filed approach to classical mechanics",

abstract = "We show that in classical mechanics the momentum may depend only on the coordinates and can thus be considered as a field. We formulate a special Lagrangian formalism as a result of which the momenta satisfy differential equations which depend only on the coordinates. The solutions correspond to all possible trajectories. As a bonus the Hamilton-Jacobi equation results in a very simple way.",

keywords = "Classical mechanics, Hamilton-Jacobi equation, Momentum field",

author = "A. Gersten",

year = "2005",

month = jan,

day = "1",

doi = "10.1007/s10701-005-6446-4",

language = "English",

volume = "35",

pages = "1433--1443",

journal = "Foundations of Physics",

issn = "0015-9018",

publisher = "Springer Netherlands",

number = "8",

}

TY - JOUR

T1 - Filed approach to classical mechanics

AU - Gersten, A.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - We show that in classical mechanics the momentum may depend only on the coordinates and can thus be considered as a field. We formulate a special Lagrangian formalism as a result of which the momenta satisfy differential equations which depend only on the coordinates. The solutions correspond to all possible trajectories. As a bonus the Hamilton-Jacobi equation results in a very simple way.

AB - We show that in classical mechanics the momentum may depend only on the coordinates and can thus be considered as a field. We formulate a special Lagrangian formalism as a result of which the momenta satisfy differential equations which depend only on the coordinates. The solutions correspond to all possible trajectories. As a bonus the Hamilton-Jacobi equation results in a very simple way.

KW - Classical mechanics

KW - Hamilton-Jacobi equation

KW - Momentum field

UR - https://www.scopus.com/pages/publications/28244447651

U2 - 10.1007/s10701-005-6446-4

DO - 10.1007/s10701-005-6446-4

M3 - Article

AN - SCOPUS:28244447651

SN - 0015-9018

VL - 35

SP - 1433

EP - 1443

JO - Foundations of Physics

JF - Foundations of Physics

IS - 8

ER -

Filed approach to classical mechanics

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this