Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds

被引：5
|
作者：
Azuaje, R. [1 ]
Escobar-Ruiz, A. M. [1 ]
机构：
[1] Univ Autonoma Metropolitana Unidad Iztapalapa, Dept Fis, San Rafael Atlixco 186, Mexico City 09340, Mexico
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 03期
关键词：
CONSTANTS; SYMMETRIES; REDUCTION; OPERATORS;
D O I：
10.1063/5.0135045
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we present canonical and canonoid transformations considered as global geometrical objects for Hamiltonian systems. Under the mathematical formalisms of symplectic, cosymplectic, contact, and cocontact geometries, the canonoid transformations are defined for (co)symplectic and (co)contact Hamiltonian systems. The local characterizations of these transformations are derived explicitly, and it is demonstrated that for a given canonoid transformation, there exist constants of motion associated with it.
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页数：18
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