Variational symmetries in the Hamiltonian formalism

被引：0
|
作者：
del Castillo, G. F. Torres [1 ]
机构：
[1] Benemerita Univ Autonoma Puebla, Inst Ciencias, Puebla 72570, Pue, Mexico
来源：
REVISTA MEXICANA DE FISICA | 2025年 / 71卷 / 01期
关键词：
Symmetries; Hamiltonian formalism;
D O I：
10.31349/RevMexFis.71.010701
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the effect on the Hamilton equations of an arbitrary coordinate transformation in the extended configuration q ' space, i = q i ' ( q j , t ) , t ' = t ' ( q j , t ) (which may not be canonical) and we show that when the Hamiltonian is invariant under a one-parameter family of these transformations, there is an associated nontrivial constant of motion.
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页数：5
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