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Commutating operators -Quantum

  • Thread starter Dassinia
  • Start date
  • #1
144
0
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
 

Answers and Replies

  • #2
760
69
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[itex]A, B,[/itex] and [itex]C[/itex], and [itex][A,B] = 0[/itex], but [itex][A,C] \neq 0[/itex] and [itex][B,C] \neq 0[/itex], then your sets would be

[itex]\left\{ A, B \right\}, \left\{ C\right\}[/itex]
 
  • #3
144
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Thank you !
 

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