Spot on. In our case, the thing we are observing (the free particle) is moving. This means that its expectation value must also be moving, which means that the probability distribution describing the position of the particle, this is the minimum uncertainty Gaussian wave packet, is also moving...
Keep in mind the wave packet is a probability distribution. The energy of a spatial Gaussian wave packet is itself Gaussian in form. That said, despite the energy wave packet being composed of an infinite set of energy eigenvectors, it will have a non infinite expectation value.
In other...
I'm saying that they are energy eigenstates, and I've used that to calculate |\right\psi(t=0)\rangle and |\right\psi(t)\rangle in terms of the position eigenstates.
my wave equation in position space is:
\left|\right\Psi(x,t)\rangle=
\frac{1}{\sqrt{2L}}*...
my apologies, i found the position eigenfunctions. that is what i was referring to. So then, would the possibilities when measuring position be any -L < x < L , and the probabilities be the value of the wave function, in position space, at any x between -L and L?
Homework Statement
Regarding the wave function in an infinite square well extending from -L to L:
If the position is measured at time t, what results can be found and with what probabilities will this results be found?
Homework Equations
the wave function is a superposition of the...
i'm assuming that your new output is the connected nodes Uo1 and Uo2. in that case i would use the node voltage method for finding the transfer function. concerning a faster way i don't know if there is one.
when i say confinded i don't mean inside the superconducting material, as what I am getting from your explanation, but i mean surrounded by the superconducting material like a shell. all that is withing the superconducting shell is a vacuum and a single electron. now, i may be wrong, since the...
what I'm trying to say is that if an electron, for example, were confined inside a really really small, superconducting, sphericle shell, let's say the diameter of two atoms, would that electron oscillate inside forever and, if so, would it be possible to harness that energy?
isn't the electron cranking out "virtual particles" from the vacuum and that is where the energy is coming from that prevents the electron from falling into the nucleus?