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

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10.1007/s10701-005-6446-4

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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",

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year = "2005",

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AU - Gersten, A.

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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

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DO - 10.1007/s10701-005-6446-4

M3 - Article

AN - SCOPUS:28244447651

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SP - 1433

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JO - Foundations of Physics

JF - Foundations of Physics

IS - 8

ER -

Filed approach to classical mechanics

Abstract

Keywords

ASJC Scopus subject areas

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