Please, somebody?
OK, so I know that the density of state depends on the dispersion relation. What are the general definitions of E, p in terms of \omega, k? E.g. for the first case E=\hbar \omega and p=\hbar k. So the question is: what are the respective values for E,p in general?
Homework Statement
I have seen case studies of the 3D Debye model where the vibrational modes of a solid is taken to be harmonic with dispersion relation \omega = c_sk. It is said that for temperatures much less than the Debye temperature, the heat capacity at constant volume C_V\sim T^3...
Suppose there is a semiconductor with Fermi energy $E_f$ and that there are $N$ bound electron states.
I'd like to know why the mean number of excited electrons takes the form \bar n(T)={N\over \exp\beta(\mu-E_f)+1}
where \mu is the chemical potential.
____
I can see that the Fermi...
Let us denote by X^i=(1,\vec 0) the Killing vector and by u^i(s) a tangent vector of a geodesic, where s is some affine parameter.
What physical significance do the scalar quantity X_iu^i and its conservation hold? If any...? I have seen this in may books and exam questions. I wonder what it...
Could somebody please explain something regarding the Nordstrom metric?
In particular, I am referring to the last part of question 3 on this sheet --
http://www.hep.man.ac.uk/u/pilaftsi/GR/example3.pdf
about the freely falling massive bodies.
My thoughts: The gravitational effects...
Homework Statement
This problem has to do with a canonical transformation and Hamiltonian formalism. Below is my attempt at solving it, but I am not too sure about it. Please help!
Let \theta be some parameter.
And
X_1=x_1\cos \theta-y_2\sin\theta\\
Y_1=y_1\cos \theta+x_2\sin\theta\\...
Would someone please explain the following found on P. 125 of these notes http://www.hep.phys.soton.ac.uk/hepwww/staff/D.Ross/phys3002/PCCP.pdf?
>On the other hand, two π^0’s cannot be in an l = 1 state. The reason for this is that pions are bosons and so the wavefunction for two identical...
Homework Statement
We have a system of 2 indistinguishable spin-1 bosons. We shall adopt the center of mass frame.
Let
S = total spin
L = relative orbital angular momentum
J = L+S = total angular momentum
Prove that J = 2m where m is an integer.
If given that J=1, what are the permissible...
@DarthFrodo: Thank you. Actually the Math course at my university does cover Statistical Physics, E&M, etc. Though not topics like condensed matter, solid state physics, etc.
A double major is not available at my university.
I am hoping to become a physicist focusing mainly on the theoretical side in the future. I am trying to decide whether to go for a physics or math undergrad course.
Assuming that I am capable of doing either, what are the pros and cons of either route?
I know that mathematics is essential to...