Talk:Berry connection and curvature

Mistake in "Example: Spinor in a magnetic field"

In the section "Example: Spinor in a magnetic field", the derivatives are not correctly calculated. Please look up how to calculate the gradient in spherical polar coordinates. — Preceding unsigned comment added by 137.250.220.42 (talk) 09:02, 7 July 2016 (UTC)[reply]

I just tripped over the same thing. It's been two years and it still has not been fixed. --146.60.28.120 (talk) 21:44, 3 June 2018 (UTC)[reply]

I believe this is actually correct, however a bit unconventional. It would be more natural to express the curvature in the space of $\vec{B}$, however here it is expressed in the space of $\theta, \phi$. They are related by the Jacobian of polar coordinates. See for example Topological insulators and topological superconductors by Bernevig and Hughes on Berry curvature (section 2.3.1 in my edition). I will consider to rewrite this section soon. --2001:700:300:4100:AD71:DF8:100E:B937 (talk) 07:53, 22 September 2021 (UTC)[reply]