Which Operators Commute in Quantum Mechanics?

[Dassinia]

Hello

Homework Statement

For a free particle moving in one dimension, divide the following set of operators into subsets of commuting operators:
[P,x, H, p]

Homework Equations

The Attempt at a Solution

I don't get the statement itself
What does the set represents for the particle ?
Dividing into subsets is like finding the operators that commute in the set ?

Thanks

 

[MisterX]

You're just supposed to find the subsets of that set such that the commutator of every operator in a subset commutes with every other operator in that subset.


So if we had$A, B,$ and $C$, and $[A,B] = 0$, but $[A,C] \neq 0$ and $[B,C] \neq 0$, then your sets would be

$\left\{ A, B \right\}, \left\{ C\right\}$

 

[Dassinia]

Thank you !