The general framework of Poincarè's formalism is used to establish the connection between conservation laws and invariance properties of Hamilton's function under infinitesimal transformations when these laws a...The general framework of Poincarè's formalism is used to establish the connection between conservation laws and invariance properties of Hamilton's function under infinitesimal transformations when these laws and the Hamiltonian are time-dependent. An example illustrative of the theory is also considered.展开更多
文摘The general framework of Poincarè's formalism is used to establish the connection between conservation laws and invariance properties of Hamilton's function under infinitesimal transformations when these laws and the Hamiltonian are time-dependent. An example illustrative of the theory is also considered.