In case anyone's interested...........
I finally found the answer to this question in Quantum Physics of Atoms molecules etc. by Eisberg and Resnick on page 315.
I'd try to explain it but I don't think I can pull it off.
Let me see if I can make it clearer.
Problem 5.5 In David Griffiths “Introduction to Quantum Mechanics” says:
Imagine two non interacting particles, each of mass m, in the infinite square well. If one is in the state psin and the other in state psim orthogonal to psin, calculate < (x1 -...
Problem 5.5 In David Griffiths “Introduction to Quantum Mechanics” says:
Imagine two non interacting particles, each of mass m, in the infinite square well. If one is in the state psin and the other in state psim orthogonal to psin, calculate < (x1 - x2) 2 >, assuming that (a) they are...
Thanks selfAdjoint. I just wish there were some way to start out with a simple example but I guess
you can't do that until you've developed the mechanism.
I was reading lethe's thread on differential forms and suddenly it dawned on me that I had no idea what differential forms were for, or why the process was developed.
Do they replace vector calculus, or are they a more powerful form of linear algebra or what? For me it is much easier to study...
The normalization of the free (say, electron) in quantum mechanics is
achieved by a trick with the dirac delta function. Typically we write the
orthogonality conditions for u1=c*exp(i*k1*x) and u2=c*exp(i*k2*x) as:
int(u1*u2)=delta(k1-k2)
and then out pops the nomalization constant...
If an ensemble of quantum partcles, with energy E, traveling in x direction encounter a very wide potential barrier V0 > E, the ensemble wavefunction will exponentially decay within the barrier.
I thought that meant that there was a small probability of detecting an electron within the...
But doesn't it take more force to accelerate or deccelerate a charged body? The electromagnetic energy of the radiation has to come from somewhere. So wouldn't that mean that a charged body has higher inertia and momentum?
Are you saying that as the particle gets closer to the nucleus its potential energy decreases but because it is more localized the HUP causes its momentum to increase and exactly offset the decrease in Potential energy?
PMB I didn't understand your post. Sorry.
In the hydrogen atom the 1s orbital has a clearly defined energy of 13.6 eV, but the probability density and radial probability density says you are liable to find the 1s electron anywhere from the nucleus on out.
How does this exact energy value jive with this variable position?
Does stress increase the inertia of a body? Does it increase gravitational attraction or in any way affect spacetime curvature? If so, I'm confused, I thought it took energy to do these things.