A Hamiltonian background magnetic field, perturbed by electric field

[binbagsss]

Hi I'm looking at Tong notes http://www.damtp.cam.ac.uk/user/tong/qhe/two.pdf deriving the Kubo Formula, section 2.2.3, page 54,I don't understand where the Hamiltonian comes from (eq 2.8). I tried a quick google but couldn't find anything. I'm not very familiar with EM Hamiltonians, any help/ links to background stuff greatly appreciated

many thanks

 

[HomogenousCow]

Have you seen the Lagrangian that gives you Maxwell's equations? That term just comes from the coupling to matter.

 

[binbagsss]

Have you seen the Lagrangian that gives you Maxwell's equations? That term just comes from the coupling to matter.

No I haven't, okay thank you, I'll look into that :)