Homework Statement
What is the chemical potential, \mu (in units of \hbar\omega) at T = 0 K of 44 ^{6}Li atoms with spin 1/2 contained in a 3D harmonic potential well (energy levels, \epsilon_{i}=(i+3/2)\hbar\omega with degeneracies g_{i}= 1/2(i+1)(i+2) )?
Homework Equations
The...
Homework Statement
Which of the following states have odd parity?
a. 2p m=0
b. 2p m=1
c. 26f m=0
d. 2s
The Attempt at a Solution
Knowing the wavefunctions for a,b, and d, i think that all of them have odd parity. What about the 26f m=0 state?
I meant xy'' + 2y' + xy = 0...
To clarify, from the wikipedia article and looking at the example,
'We can take one element out of the sums that start with k=0 to obtain the sums starting at the same index.'
'We obtain one linearly independent solution by solving the indicial...
Homework Statement
xu'' + 2y' + xy = 0
Homework Equations
http://en.wikipedia.org/wiki/Frobenius_method
The Attempt at a Solution
Ok, so i have managed the Frobenius method in the past, but this seems harder...
\sum_{n=0}^{\infty} a_n(n+c)(n+c-1)x^{\ n+c-2}...
Homework Statement
Why is the mass absorption coefficient used rather than the linear absorption coefficient?
Homework Equations
mac=lac/density
The Attempt at a Solution
is it because mac is independent of physical from?
ok so for t<0 F(t)=0, for t>2 F(t)=1,
and for 0<t<1 F(t)= t^{2}/2 and for 1\leqt<2 F(x)= 2t - t^{2}/2 , but I am not being asked for that, I am being asked for 0\leqt\leq2, what is the answer to this?