Miguel A. L. Marques edited Magnetic response.tex  over 9 years ago

Commit id: bba259de79460b4127e3d2cfea9e9b02c86bc40b

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Miguel, Xavier  In the presence of a magnetic field \(\vec{B}(\vec{r}, t)\), generated  by a vector potential \(\vec{A}(\vec{r}, t)\), someadditional  terms describing the coupling of   the electrons to the magnetic field  must be included in the Hamiltonian %  \begin{equation}  \label{eq:magnetic}  {H} = \frac12\left({\vec{p}} -\frac1c{\vec{A}}\right)^2 + \vec{B}\cdot{\vec{S}}\ .  \end{equation}  %  The first part is describes  the orbital interaction with the field, and the second one is the Zeeman term that represents the coupling of the  electronic spin with the magnetic field.  In As our main interest is the evaulation of the magnetic susceptibility,   in  the following we consider a perturbative uniform static magnetic field \(\vec{B}\) and zero total spin. In the Coulomb gauge the  corresponding vector potential, \(\vec{A}\), is given as  %