These are not homework questions. Review for the test rather; I was wondering if I could get answers or links to any info regarding this set of questions. Thanks in advance.
1) What equation governs the regular time evolution of the wave function? Are there other ways a wave function can...
i just didnt know the notation. i know the complex conjugate. ok, so here's the question.
for yesterdays O(with hat) i got the eigenfunction(ѱ) after normalization to be,
ѱ=exp((x2 -x)/2ih') how would i go on about finding the expectation value of x, px and px2?
would you mind telling me the...
hey glenn, do u mind evaluating for x and p^2 for me, showing the steps. so i can learn how to do it. i went through the library item and didnt quite get the end.
to find x do i integrate x|ѱ(x)2| ?? what does ѱ(x)2 mean??
ok. its just the amount of post, that is making it confusing. u have been more than coherent. thnks for the help; epsecially the exercises, lecture notes and other references, really helps. i will go work on it and get some sleep. thnks for the time and effort glenn.
okay this is getting way to confusing; can you just tell me, what conditions are needed for any given wavefunction to be the eigenfunction of:
a. energy operator
b. momentum operator
c. position operator
so the wave function
ѱ=Asin2(nx) is an eigenfunction of momentum(why?) but not energy,
while
ѱ=sin (kx) cos(kx) is not an eigen function of energy or momentum?
so trig functions need not be the eigen function of energy operator but they can be eigenfunction of momentum operator??
but from the last post it sounds like the other way around.
well since energy=(momentum)2 /2*mass, and they are related; if it is not an eigen function of energy operator, is it possible for it to be a eigenfunction of the momentum operator then?
so does that mean trig functions like
ѱ=sin (kx) cos(kx) or other such functions are not in the state of an energy eigenfunction?
if they are not an energy eigenfunction, is it possible for them to be a momentum eigenfunction, or not?
we don't have a book. my teacher provides us with handouts, daily. why is ѱ=sin2 nx not an eigenfunction of the momentum operator?
how does it carry the ih bar; i was just wondering as it is not in the equation of the wavefunction.
okay so i operate the momentum operator on ѱ=Asin2(nx) ie find p(with hat) ѱ? I've been scanning through this forum and see "psi" a lot, what does psi mean?
"you determine IF a given wavefunction IS an eigenfuction to a given operator"
so i find the eigenfunction of the operator and see if it is any similar to the wavefunction?