1. Sep 19, 2011

### qmpuzzler

1. The problem statement, all variables and given/known data
I'm so confused about the question below,actually i cannot understand the problem at all.Could anybody help me out?Thank you

2. Relevant equations

Find the operator for position x if the operator for momentum p is taken to be (h/2m)½（A+B),with[A,B]=1,and all other commutators zero.

3. The attempt at a solution i just cannot figure it out how can the position,which is a opeartor itself,can have a operator for.

2. Sep 20, 2011

### mathfeel

What is the commutation relation between x and p? How can you construct x to satisfy that commutation relation?

3. Sep 20, 2011

### qmpuzzler

Here is the question:
Find the operator for position x if the operator for momentum p is taken to be (h/2m)½（A+B),with[A,B]=1,and all other commutators zero.

Honestly,i have no idea what is the meaning of the question.

4. Sep 20, 2011

### Diomarte

QMPuzzler, just as a hint to what you were asked by the original helper, I think you might want to consider how the commutation relations work, for example: [x,p] = xp-px.

5. Sep 20, 2011

### qmpuzzler

Thanks,but still have no clue in solving.can you explain how to work it out?