What's up I am working on some quantum chemistry problems and I am somewhat confused about commutators.
The question asks to calculate the commutators, the questions are:
There is also one concerning nuclear spins that you guys may not be able to help me with, but if I can see how to do these two I think I can figure that one out on my own.
Thanks for the help
First, you have to ask what sort of objects these commutators act on.
Originally Posted by csuiter
The commutator [x,d/dx] has to act on a function f(x). Then . So [x,d/dx] is actually the negative of the identity operator: it takes the function f(x) to –f(x).
The commutator [√,^2] has to act on a nonnegative real number. You should be able to work out for yourself that this is the zero operator: it takes each number to 0.
thank you very much for your help!