How do you find an expression for the energy eigenvalues from the TISE (Time Indipendant Schrodinger Equation) for a given potential.
e.g. why is:
E = (N + 1) hbar*omega
an expression for the energy eigenvalues for a potential of:
V = 1/2*m*omega2x2
??
I really have no idea where to start...
For the most part I've been using the Hubble constant of:
H0 = 72 km/s/Mpc
but I've started seeing it expressed as:
H0 = 100 h100 km/s/Mpc.
what is h100 and why is it coming up in this??
I've also seen the critical density for the shape of the universe (flat/open/closed ect) as:
Rhoc = 1.879...
I have found 2 different representations of Compton wavelength:
\lambda=
\frac{h}{mc}
and
\frac{\bar{h}}{mc}
which of these is correct, and if both are right, how do you know when to use one or the other?
(note: the second equation contains a h bar as in " h bar = h/2pi ")
"Given a planet has mass M and radius R, find the speed it would have to be launched at. Compare this to the speed required to put the object in the circular orbit."
I understand the first half where Ep=Ek
i.e: GMm/r = 1/2 mv2
rearrange to find v
how ever, I'm unsure of what exactly...
Ahh ok, thanks. I can at least see how you derive the first from the second now, thanks. But I'm still not sure why you must take into account both sides of the plate for and infinite plate.
[and yes you're right the 2 should be on the bottom in the first expression]
Can some one explain why the value for the electric field strength is ##E = 2\sigma/\epsilon_0## for a charged sheet but ##E = \sigma/\epsilon_0## if the sheet is infinitely large?
I understand the procedure of using Gauss' law and creating a Gaussian surface of constant E; however, I...