Although according to page 147 of this book, that equation works : http://books.google.co.uk/books?id=VEZ1ljsT3IwC&pg=PA147&dq=S+%3D+RlogV&hl=en&sa=X&ei=z6QXU4-nDKWJzAPW14GQCw&ved=0CDcQ6AEwAQ#v=onepage&q=S%20%3D%20RlogV&f=false
Ahh yes forgot the k. Probably should of mentioned C is the constant volume heat capacity, k Boltzmann's constant and N the number of particles of ideal gas. Not really looked at the units of the terms but surely if you differentiate then you have to differentiate by something? i.e. to get to...
Homework Statement
Show using Boltzmann's principle (S=k.lnW), show that with respect to changes in V and T:
dS=k.N.\frac{dV}V{}+\frac{C.dT}V{T}
Where W=T^{\frac{C}k{}}V^{N}The Attempt at a Solution
S=k.lnT^{\frac{C}k{}}V^{N}=k.lnT^{\frac{C}k{}}+klnV^{N}
S=C.lnT+N.lnV
Now I know that the...
Ahh I see, you just use the operators one by one. Thanks.
There is one more thing.. what does a ket of a number actually mean?
I understand that for example \hat{p}\left|\psi\right\rangle~=~ h/i*d/dx~\psi(x) but I don't see how this relates to actual numbers?
I have no idea how powers affect operators. Can't find any examples in my lecturers notes nor when searching the internet. Really struggling to grasp quantum mechanics as the mathematics I know doesn't seem to apply.
haha no I am there now in 1st year, recognised a question from the em assignment and figured it most be someone in my class lol. Tom Brown is just a nickname, real name is chris. I am the tall guy with glasses, usually sits near the back :)