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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/1959643 |
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| _version_ | 1832557053907828736 |
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| author | Chuan-Jing Song Yao Cheng |
| author_facet | Chuan-Jing Song Yao Cheng |
| author_sort | Chuan-Jing Song |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ca771b87f7184e6f82852b082234b669 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ca771b87f7184e6f82852b082234b6692025-02-03T05:43:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/19596431959643Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized OperatorsChuan-Jing Song0Yao Cheng1School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, ChinaSchool of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, ChinaBased 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 |
| spellingShingle | Chuan-Jing Song Yao Cheng Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators Advances in Mathematical Physics |
| title | 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_short | Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators |
| title_sort | noether symmetry method for hamiltonian mechanics involving generalized operators |
| url | http://dx.doi.org/10.1155/2021/1959643 |
| work_keys_str_mv | AT chuanjingsong noethersymmetrymethodforhamiltonianmechanicsinvolvinggeneralizedoperators AT yaocheng noethersymmetrymethodforhamiltonianmechanicsinvolvinggeneralizedoperators |