Homework Statement
What are the limitations to the equipartition theorem
The Attempt at a Solution
I have got this gap in my notes i am trying to fill, done some research but couldn't find anything, are there any limitations?
Quantum - probability in a state
I have an eigenvalue (d) and i need to find the probability of it in a state k.
What is the equation?
<k|d|k> ?
I have spent some thought on this and it seems to simple.
thanks
Homework Statement
I've put all the information on the picture as i already created on there in an attempt to help brain storm some ideas that didn't work ...
http://dl.dropbox.com/u/48169762/Capture.PNG
Homework Equations
All on picture :)
http://dl.dropbox.com/u/48169762/Capture.PNG
The...
Homework Statement
How does adding a lens behind a slit alter the diffraction pattern given you know it's focal length?
Homework Equations
I know currently that i'd look at equations such as:
y_{n} = \frac{nD\lambda}{d}
Destructive and so fourth
But what about the lens, does that...
After thinking about this more,
I know \sigma = \frac{Q}{A}
Where the \pi must be absorbed into this area as it does not appear in the final answer. i.e. A = \pi {r}^{2}
Though i am still struggling on the plus and power in ({z}^{2} + {r}^{2})^{3/2}
Any help is appreciated :)
Ok, I have looked into this before i saw these replies and found that the standard integral that i should "meet" during the process (though this is missing a factor in front of it):
\int^{r}_{0} \frac{ r dr}{{({z}^{2} + {r}^{2})}^{3/2}} = \frac{1}{|z|} - \frac{1}{\sqrt{{z}^{2} + {r}^{2}}}...
Hi Doc Al,
If i cannot use gauss's law what method should i use in order to get an appropriate form of an integral that integrates to the above equation?
Thanks
Homework Statement
I came across an expression in the following pdf at the bottom of page two:
http://iweb.tntech.edu/murdock/books/v4chap2.pdf
Homework Equations
The electric field for a disk:
\vec{E} = \frac{\sigma}{2{\epsilon}_{0}} ( 1 - \frac{z}{\sqrt{{z}^{2} + {r}^{2}}})
Now logically...
Perhaps i'll ignore that post and go back to the fundamental question. From my understanding,
\bar{p}=\frac{hk}{2 \pi}. Knowing \psi is there a way to deduce a better answer to \bar{p} or is it just as I said here?
I am also unsure about the equation for mean value of x.
Thanks :)
Ok, but I am still not following how he got one for the first question:
<psi | p | psi> = 0
for the integral:
\psi = \int_{-\infty}^{\infty} {e}^{-\alpha {(k-{k}_{0})}^{2}}{e}^{ikx} dk
Thanks
Homework Statement
I am trying to translate what is meant by:
<psi | p | psi>
<psi|p^2|psi>
<psi | x | psi>
In a mathematicaly context as shown by this link:
http://answers.yahoo.com/question/index?qid=20110521103632AASz9Hm
Can anyone specify what these mean?
Thanks!
Homework Statement
Im somewhat unsure of what the result i have derived is exactly. I know the angular frequency should be
\omega = \sqrt{\frac{k}{m} - \frac{{b}^{2}}{4{m}^{2}}}
The Attempt at a Solution
m\frac{{d}^{2}x}{d{t}^{2}} = -kx -b\frac{dx}{dt}
Sub in \omega =...
I've just thought, if you had any path then, regardless of its involvement, this must always be zero if the force is still the same. Take the same force and the equation xi + cos(x) j clockwise and x ≤ |π/2 |and y = 0.
If this is true and any path results in zero work done, then do we simply...