INVARIANCE: AN ANALOGY BETWEEN SYMMETRY AND CONSERVATION LAWS
DOI:
https://doi.org/10.53808/KUS.2008.9.1.0613-PSKeywords:
Invariance, symmetry, conserved quantity, Lagrangian and Hamiltonian systems, Neother theoremAbstract
Invariance plays an essential role in Physics and Mathematics. It has a close connection between symmetry and conserved quantity. In general any symmetry of the Lagrangian as well as Hamiltonian corresponds to a conserved quantity, and vice versa. This elegant works were first discussed and formalized by Emmy Neother. In this study an analogy is shown between invariance, symmetry and conservation laws.
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