Symmetries and reduction Part II - Lagrangian and Hamilton-Jacobi picture

被引:3
作者
Marmo, Giuseppe [1 ,2 ]
Schiavone, Luca [3 ,4 ]
Zampini, Alessandro [2 ,3 ]
机构
[1] Univ Napoli Federico II, Dipartimento Fis E Pancini, Via Cintia, I-80126 Naples, Italy
[2] INFN, Sez Napoli, Via Cintia, I-80126 Naples, Italy
[3] Univ Napoli Federico II, Dipartimento Matemat Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy
[4] Univ Carlos III Madrid, Dept Matemat, Avda Univ 30, Madrid 28911, Spain
关键词
Symmetries for implicit equations; Lagrangian equations; gauge transformations; reduction; Hamilton-Jacobi equations; NON-NOETHER CONSTANTS; INVERSE PROBLEM; VARIATIONAL-PRINCIPLES; LIE-POISSON; SYSTEMS; THEOREM; MOTION; FORMALISM; DYNAMICS; EQUIVALENCE;
D O I
10.1142/S0219887821300063
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Following the analysis we have presented in a previous paper (that we refer to as [I]), we describe a Noether theorem related to symmetries, with the associated reduction procedures, for classical dynamics within the Lagrangian and the Hamilton-Jacobi formalism.
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页数:82
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