- #1
forever_physicist
- 7
- 1
Good morning!
I have a problem in understanding the steps from vectors to operators.
Imagine you are given a vectorial observable.
In classical mechanics, after rotating the system it transform with a rotation matrix R.
If we go to quantum mechanics, this observable becomes an operator that is not obvious to transform with the same law.
Imagine for example the momentum: in classical mechanics it is clearly a vector, but when we go to quantum mechanics it becomes a gradient, so it will transform differently when rotating the system of reference.
How is this possible?
I have a problem in understanding the steps from vectors to operators.
Imagine you are given a vectorial observable.
In classical mechanics, after rotating the system it transform with a rotation matrix R.
If we go to quantum mechanics, this observable becomes an operator that is not obvious to transform with the same law.
Imagine for example the momentum: in classical mechanics it is clearly a vector, but when we go to quantum mechanics it becomes a gradient, so it will transform differently when rotating the system of reference.
How is this possible?