On the invariance of time-dependent Hamilton's functions

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2005,（5）
• 页码范围: 511-513
• 页数: 3页
• 语种: 英文

摘要

The general framework of Poincaré'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.