first off, the graf you called the "modulus" is actually the probability distrbution.
wth that in mind, the lines "n=x" are (must be) your 0 line, they are just ploted over each other. was that your question?
E=(n+1/2)ħw so with n increasing you have more energy therefore you can "travel"...
Homework Statement
An electron coming from the left encounters/is trapped the following potential:
-a<x<0; V=0
0<x<a; V=V0
infinity elsewhere
the electron has energy V0
a)Write out the wave function
b)normalize th wave function
Homework EquationsThe Attempt at a Solution
for -a<x<0...
Ok have redone this one last time and i think i got it finally...
Vcm i got exactly 1/3 c
And final energy i got 2.95*10^-13j (comparing to initial of 2.98 and accounting for rounding mistakes i think this is pretty good!) I resolved the problem like i described in my last post, difference was...
ok so i took a break from this, i was obviously tired of studying this, and moved on to other things. Today i came back to this.
i quickly got the same expression for vcm and i got Vcm=0.045c
and in the new frame got Ephoton=1.039*10-13J
and, Ee-=Ee+=Ephoton,
Pe+=-Pe-=1.87*10-22mkg/s
ok i must...
thanks for yur answers sorry about the overlap thing it was a translation problem.
and the problem i presentd was in an actual exam but all of them always have a problem like that.
im going to take a carefull look at both books I've got
so I am finishing up my studies of intro to quantum mechanics, and this is not in my book and looking at previous exams i have to know this for single electron atoms/ions.
one of the problems was somethin like
"the wave function of an electron is the overlap of the orbitals:
Ψ=aΨ1s+i/√3Ψ2p+¾Ψ3s...
doing this did not give correct results
i got 0.9c and 0.72c this does not conserve energy...
i got vcm =0.30c; i used the previously calculated energy and momentum, and used the formula you stated to calculate the new energy; γ[E−(v/c)pc]., with γ= 1/sqrt(1-v2/c2) E and p of the particle and v...