Eigenoperator

Eigenoperators are special mathematical operators that help us understand certain systems better. They do this by giving us information about the properties of the system, like how things in the system move when we change something. To understand this better, imagine that inside a box there are a bunch of balls. With an eigenoperator, we can calculate things like what happens if we move one of the balls, or change the position of the box. It's like a scientist using a powerful microscope - they can use the microscope to look closely at an object and learn more about it.