Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators

Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators

Based on the generalized operators, Hamilton equation, Noether symmetry, and perturbation to Noether symmetry are studied. The main contents are divided into four parts, and every part includes two generalized operators. Firstly, Hamilton equations within generalized operators are established. Secon...

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Main Authors: Chuan-Jing Song, Yao Cheng
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/1959643
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spelling doaj-ca771b87f7184e6f82852b082234b6692021-10-11T00:39:33ZengHindawi LimitedAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/1959643Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized OperatorsChuan-Jing Song0Yao Cheng1School of Mathematical SciencesSchool of Mathematical SciencesBased on the generalized operators, Hamilton equation, Noether symmetry, and perturbation to Noether symmetry are studied. The main contents are divided into four parts, and every part includes two generalized operators. Firstly, Hamilton equations within generalized operators are established. Secondly, the Noether symmetry method and conserved quantity are studied. Thirdly, perturbation to the Noether symmetry and adiabatic invariant are presented. And finally, two applications are presented to illustrate the methods and results.http://dx.doi.org/10.1155/2021/1959643
collection DOAJ
language English
format Article
sources DOAJ
author Chuan-Jing Song
Yao Cheng
spellingShingle Chuan-Jing Song
Yao Cheng
Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators
Advances in Mathematical Physics
author_facet Chuan-Jing Song
Yao Cheng
author_sort Chuan-Jing Song
title Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators
title_short Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators
title_full Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators
title_fullStr Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators
title_full_unstemmed Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators
title_sort noether symmetry method for hamiltonian mechanics involving generalized operators
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9139
publishDate 2021-01-01
description Based on the generalized operators, Hamilton equation, Noether symmetry, and perturbation to Noether symmetry are studied. The main contents are divided into four parts, and every part includes two generalized operators. Firstly, Hamilton equations within generalized operators are established. Secondly, the Noether symmetry method and conserved quantity are studied. Thirdly, perturbation to the Noether symmetry and adiabatic invariant are presented. And finally, two applications are presented to illustrate the methods and results.
url http://dx.doi.org/10.1155/2021/1959643
work_keys_str_mv AT chuanjingsong noethersymmetrymethodforhamiltonianmechanicsinvolvinggeneralizedoperators
AT yaocheng noethersymmetrymethodforhamiltonianmechanicsinvolvinggeneralizedoperators
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