Homework Statement
In a diatomic molecule with atom masses m1 and m2, the atoms are bound by a potential
V(r)=V_0\big[ \big(\frac{r_0}r\big)^{12} - 2\big(\frac{r_0}r\big)^{6}\big]
where r is the distance between the atom centra, r0 is the equilibrium istance, and V0 is a constant depending...
Homework Statement
Five electrons (with mass m) whose interaction can be neglected, are in the same 3-dim harmonic oscillatorpotential
V(x,y,z) = \frac k2 (x^2 + y^2 + z^2)
What is the ground state energy?
Homework Equations
The Attempt at a Solution
I have the energy for the...
You are right, the last integral becomes 0 as well -I accidentally made the assumption that a<0 istead of a>0 in Mathematica last time.
So the conclusion is that the expectation value of both commutators is 0?
The professor took the question from an unknown book, typed it into word and emailed it. I don't think it's a typo, and I'd never dare to ask if it was. He wouldn't admit his mistake anyway ;)
ok, second question is like the first one with a few differences:
Now I have
A = L_x
B = z_x^2
And...
I'm confused because it seems too easy to count expectation value for 0. Especially when question 2 (out of 3 in the assignment) has a trivial expectation value too. Doing it for 3rd time just to make sure I'm not missing something. If it becomes zero again, I'll be almost certain that something...
Homework Statement
Simplify the commutator [A,B] and give the expectation value of [A,B] in the ground state for an isotropic harmonic oscillator (mass m) that has the energy \hbar \omega /2 when
A = xp_x
B = y
Homework Equations
[AB,C] = A[B,C] + [A,C]B
[p_i,x_j] =...
Hmm... I don't even know where to start, that's too advanced for me. I don't even recognize what system those 25 pc is from. If it's some american system then I don't know since I only use the metric system.
Anyhow... it would be interesting of to get the answer of your question "Might there...
Ok, so there are no current searches for life outside milky way but we CAN study spectra from outside milky way with our current technology, and by that either say that earthlike life can't exist there, or that there is a possibility it could have evolved as on earth?
Dr.Brain, SETI are studying only the milky way, aren't they?
Chronos, it doesn't need to be radio signatures specifically. As far as I know we can check the metallicity of a star outside the milky way, and hence tell if that star could have planets. If yes, could we then go further and base...
I've been reading about researches about life in our solar system, and the milky way, but I'm interested of knowing if these techniques can be used to study galaxies that are much farther away. So I'm mainly interested of the techniques used, and not towards what the results are heading ;)...
When we search for life in other galaxies we look for planets that have almost the same environment as earth, since it is believed to have the best opportunities for life to begin. Does anyone know some serious researches in this topic, or what techniques are used for this kind of researches...