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Draft Forbes Group Website (Build by Nikola). The official site is hosted at:

https://labs.wsu.edu/forbes

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License: GPL3
ubuntu2004
Kernel: Python [conda env:blog]

Errata

This post collects various typos etc. in my publications. If you think you see something wrong that is not listed here, please let me know so I can correct it or include it.

import mmf_setup;mmf_setup.nbinit()
<IPython.core.display.Javascript object>

The Unitary Fermi Gas: From Monte Carlo to Density Functionals

Equation numbers correspond to the preprint arXiv:1008.3933 but match the book without the prefix. Thus (9.72a) in the preprint corresponds to (72a) in the published book Bulgac:2011.

ParseError: KaTeX parse error: Undefined control sequence: \vect at position 38: …aligned} \nu(\̲v̲e̲c̲t̲{r}) &= \frac{1…

The correct formula should have g<0g < 0 for attractive interactions. In this case, Δ\Delta and ν\nu have opposite signs:

Δ=gν=geffνc\begin{gather} \Delta = g\nu = g_{\mathrm{eff}} \nu_c\tag{9.74} \end{gather}E=2m(τa+τb2)+Δν\begin{gather} \mathcal{E} = \frac{\hbar^2}{m}\left(\frac{\tau_a+\tau_b}{2}\right) + \Delta^\dagger \nu\tag{9.75} \end{gather}τ+(k)=τa(k)+τb(k)2(m)2ΔΔ4k2,ν(k)mΔ2k2\begin{gather} \tau_+(k) = \tau_a(k) + \tau_b(k) \rightarrow \frac{2(m^*)^2\Delta^\dagger \Delta}{\hbar^4 k^2}, \qquad \nu(k) \rightarrow - \frac{m^*\Delta}{\hbar^2k^2}\tag{9.81} \end{gather}

and the following equation:

2τ+2m+Δν=2m(αaτa2+αbτb2)+gνν\frac{\hbar^2 \tau_+}{2m^*} + \Delta^\dagger \nu = \frac{\hbar^2}{m}\left(\frac{\alpha_a\tau_a}{2} +\frac{\alpha_b\tau_b}{2}\right) + g\nu^\dagger\nuΔ=gν=geffνc\begin{gather} \Delta = g\nu = g_{\mathrm{eff}} \nu_c\tag{9.82} \end{gather}ParseError: KaTeX parse error: Undefined control sequence: \d at position 91: …1}{2}\int\frac{\̲d̲^3{\vect{k}}}{(…