What is commudator?

Answer 1

A commutator is a mathematical operator used in various fields, particularly in quantum mechanics and group theory. In quantum mechanics, it represents the difference between the product of two operators in different orders, often denoted as [A, B] = AB - BA. This concept is crucial for understanding the fundamental principles of non-commutativity, which underpins the behavior of quantum systems. In group theory, a commutator can also refer to the subgroup generated by elements that measure the "failure" of two group elements to commute.