(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

given that X(operator) and P (operator) operate on functions,and the relation [X,P]=ih/2π,show that if X(operator)=x ,and P (operator) has the representation P=-ih/2π*∂/∂x +f(x)

where f(x) is an arbitrary function of x

2. Relevant equationsquantum mechanic by Liboff

3. The attempt at a solutionI wrote the commutator relation of P and x on an arbitrary function like g(x) ,[x,p]g(x) so XP(g(x))-PX(g(x))=ih/2pi(g(x)) because of X=x so I wrote

xP(g(x))-P(xg(x))=xP(g(x))-xP(g(x))-g(x)Px=-g(x)Px=ih/2pi(g(x)) so I can derive just this part of equation-ih/2π*∂/∂x , what can I do for the part of f(x)?

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# Homework Help: P operator

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