Constant of motion for a one-dimensional and nth-order autonomous system and its relation to the Lagrangian and Hamiltonian

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Description

A constant of motion is defined for a one-dimensional and nth-differenital-order autonomous svstem. A generalization of the Legendre transformation is given that allows one to obtain a relation among the constant of motion the Lagrangian, and the Hamiltonian. The approach is used to obtain the constant of motion associated with the nonrelativistic third-differential-order Abraham-Lorentz radiation damping equation.

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10 p.

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Lopez, G. December 1, 1993.

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Description

A constant of motion is defined for a one-dimensional and nth-differenital-order autonomous svstem. A generalization of the Legendre transformation is given that allows one to obtain a relation among the constant of motion the Lagrangian, and the Hamiltonian. The approach is used to obtain the constant of motion associated with the nonrelativistic third-differential-order Abraham-Lorentz radiation damping equation.

Physical Description

10 p.

Notes

INIS; OSTI as DE95011153

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  • Other Information: PBD: Dec 1993

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  • Other: DE95011153
  • Report No.: SSCL-Preprint--543
  • Grant Number: AC35-89ER40486
  • DOI: 10.2172/71708 | External Link
  • Office of Scientific & Technical Information Report Number: 71708
  • Archival Resource Key: ark:/67531/metadc704271

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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Creation Date

  • December 1, 1993

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • April 29, 2016, 6:01 p.m.

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Lopez, G. Constant of motion for a one-dimensional and nth-order autonomous system and its relation to the Lagrangian and Hamiltonian, report, December 1, 1993; Dallas, Texas. (digital.library.unt.edu/ark:/67531/metadc704271/: accessed October 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.