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29772

Application of Geometric Algebra to Generalized Hamiltonian (Birkhoffian) Mechanics

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Last updated: 22 Jan 2023

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Abstract

Abstract
The basic concepts of generalized Hamiltonian ( Birkhoffian ) mechanics are derived using
Gemotric Algebra. Both Generalized Poisson bracket (GPB) and Generalized Lagrange
bracket (GLB) are introduced. Similarly Generalized plus Poisson bracket (GPPB) and
Generalized plus Lagrange bracket (GPLB) are derived which seems different from the forms
by other authors. Differential constrains are derived, one of which resembles that of
electromagnetic field strength.

DOI

10.21608/icmep.2010.29772

Authors

First Name

E.

Last Name

Abou El Dahab

MiddleName

T.

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Volume

5

Article Issue

International Conference on Mathematics and Engineering Physics (ICMEP-5)

Related Issue

5195

Issue Date

2010-05-01

Receive Date

2019-04-07

Publish Date

2010-05-01

Page Start

1

Page End

9

Print ISSN

2636-431X

Online ISSN

2636-4328

Article File

ICMEP_Volume 5_Issue International Conference on Mathematics and Engineering Physics (ICMEP-5)_Pages 1-9.pdf

PDF . 188.9kB

Link

https://icmep.journals.ekb.eg/article_29772.html

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https://icmep.journals.ekb.eg/service?article_code=29772

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Original Article

Type Code

830

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Publication Title

The International Conference on Mathematics and Engineering Physics

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https://icmep.journals.ekb.eg/

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Article

Created At

22 Jan 2023