Hi there, i need help in a couple of questions that i'm just stumped(adsbygoogle = window.adsbygoogle || []).push({});

one of them :

A) use induction to show that

[ x (hat)^n, p(hat) sub "x" ] = i (hbar)n x(hat)^(n-1)

- so far I've figured out this equation is in relation to solve the above eq, but I'm not entirely sure how to connect the two

[ f (x (hat)), p(hat) sub "x"] = i h(bar) (partial F/ partial x) * (x (hat))

B) I'm not sure how to show the symbol "pitch fork" but i will refer to it as "tsi"

Show for infinitesimal translation for

|tsi> --> |tsi'> =T(hat) (dirac delta x)|tsi>

that <x> ---> <x> + dirac delta x and

< P (as in momentum) sub x > ----> < P subx >

SO far I have gotten {T is for hte translator)

<tsi| T(hat with dagger) (diarc delta x) x T hat (diarc delta x)| tsi>

= <tsi| (1+(idelta sub x P hat sub x/ hbar) x hat (1- i diarc delta x P sub x /hbar) |tsi>

I dunno where to go from there tho....

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# Info on wave mechanics prob in one dimension need

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