Recent content by mmssm

Thank you for the reply. Let us choose a fix n. For the case of hall conductance, it is an area integral with the gauge phase e^{if(k_1,k_2)} If we use stroke's theorem, parametrize the path by (k_1,k_2)=(k_1(\lambda),k_2(\lambda), where \lambda=0 is the starting point while \lambda=1 is the...

Thank you for the comments. I would like to clarify my question. Referring to https://en.wikipedia.org/wiki/Berry_connection_and_curvature, the geometrical phase, or the original berry phase, we can apply gauge transform |\psi'({\bf{R}})\rangle=e^{i\beta({\bf{R}})} |\psi({\bf{R}})\rangle, with...

Some books say that there is a gauge transform that we can put an extra phase e^{i \phi ( R(t))} to the wave function. Since R(t=0) = R(t=T), difference in \phi = 2 pi n, where n is any integers. As gauge transform would lead to 2 pi n difference, berry phase is determined up to 2pi n. However...

Isnt it invariant an adjective?

We used to apply periodic boundary condition to simulate an infinite system. What will happen if the interactions between atoms do not drop to zero even when they are infinitely far away? Is the periodic boundary still valid? How can I prove the periodic boundary condition is valid or not? thanks.

A secondary textbook said that if there is no flux leakage, Vp/Vs=Np/Ns, no matter what is the efficiency of the transformer. May I know will the ohmic loss and eddy current contribute to the loss and modify the voltage ratio? thanks!

is that both of absolute and apparent magnitude counts only visible light? since i found some books said absolute magnitude counts luminosity instead of intensity, where luminosity includes also the non-visible frequencies. thank you!