Tagged Questions
4
votes
1answer
125 views
How do I calculate the probability that the oscillator is in a certain state using partition function?
So let's say I have a single ($N=1$) quantum harmonic oscillator and the energy is determined by $E_n = (n + 1/2) \cdot \hbar \omega$ (where $n$ is the quantum number and $n$ = $0, 1, 2, \ldots$)
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0
votes
2answers
58 views
What is the minimal set of expectation values I need in a statistical model?
At least if $\vec v$ is really only a one dimensional parameter, measuring all the moments $\langle v^n \rangle_f$ seems to give me all the information to compute $\langle A \rangle_f$ with $A(v)$ ...
1
vote
1answer
68 views
semiclassical exact expression (in one dimension only)
let be $ N(x)= \sum_{n} H(x-E_{n}) $ the eingenvalue 'staircase' function
and let be a system so $ V(x)=V(-x)$ and $ V^{-1}(x)=\sqrt \pi \frac{d^{1/2}}{dx^{1/2}} N(x) $
then would it be true that ...
1
vote
1answer
129 views
Quantum Stat-Mech Proof of an Inequality for the Partition Function
I have the following problem that I was unable to solve for class, but I had a couple first steps that I started with that I am unable to finish. I know I can't get this since it's already been ...
