# Questions tagged [density-of-states]

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### Density of states (DOS) integral when surface is not closed

According to the density of states (DOS) formula $$\rho(\varepsilon)\propto \int_{\varepsilon=\text{const}}\frac{dS}{|\nabla_k \varepsilon_k|}.$$ Since there is an integral on the constant energy ...
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### Validity of formula for density of states for free electron gas

I believe the formula for density of states given by $\frac{\hbar^2}{2m}{(\frac{3\pi^2N}{V})}^{\frac{2}{3}}$ is a good approximation to actual count only when $E_f$ is much larger than energies given ...
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### Calculating density of state from a certain dispersion relation analytically

This used to be a really frustrating question when I was taking the solid state physics. It is still a knotty one for me now. I wish to figure it out completely. If one reads the definitions or ...
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### What is a pseudo wave and how to calculate it?

In a description of the density of states in https://wiki.fysik.dtu.dk/gpaw/documentation/pdos/pdos.html I find the term pseudo (partial) wave (in the section Molecular Orbital PDOS). What is it and ...
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### How does the density of states for black-body radiation change with geometry?

If I have a hollow conducting cylinder with another conducting cylinder inside it (as with a coaxial cable), would the density of states of the photons/radiation between the two cylinders be any ...
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### Calculating density of states for $N$ identical Fermions subject to a potential
Given a system with N identical Fermions, with spin $\frac{1}{2}$ and mass $m$, subject to the potential: $V(\vec{r}) = \frac{1}{2}m\omega^{2}(x^{2}+y^{2}+z^{2})$ and the single particle energy ...