- #1
belleamie
- 24
- 0
PLEASE help asap with quantum physics!
Hi there, i need help in a couple of questions that I'm just stumped
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 don't know where to go from there tho...
Hi there, i need help in a couple of questions that I'm just stumped
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 don't know where to go from there tho...