关键词: 量子力学, 对易关系, 诺特定理

Abstract: The commutation relation of operators in quantum mechanics is of great significance for students to understand quantum mechanics, and is also directly related to Heisenberg^,s uncertainty principle. In undergraduate courses, the commutation relation of operators is usually directly given in theory, or its derivation depends on the specific representation of operators under the selected concrete representation. The introduction process of the commutation relation formula of operators has no organic connection with classical physics, and the lack of universality is easy to be misunderstood by students. The idea is based on the universally established Noether^,s theorem in both classical and quatum physics, which corresponds to the consevation of quantities and symmetries in the physical system.  This paper aims to introduce a more enlightening teaching method for the derivation of operator commutation relations, providing students with a simple and natural way of understanding.

Key words: quantum mechanics, commutation relation, Noether^,s theorem