magnetic field ${\bf B}$ in $z$-direction.
\item Rewrite the Hamiltonian
using the definition of the angular momentum operator
magnetic field ${\bf B}$ in $z$-direction.
\item Rewrite the Hamiltonian
using the definition of the angular momentum operator
\item Calculate the magnetic suscebtibility in a state $\phi$.
What term is responsible for the diamagnetic contribution?
{\bf Hint:} The magnetic suscebtibility is defined as
\item Calculate the magnetic suscebtibility in a state $\phi$.
What term is responsible for the diamagnetic contribution?
{\bf Hint:} The magnetic suscebtibility is defined as
\item Assuming a spherically symmetric charge distribution the equality
$<\phi|x^2|\phi>=<\phi|y^2|\phi>=\frac{1}{3}<\phi|r^2|\phi>$
is valid. Rewrite the diamagnetic part of the suscebtibility
\item Assuming a spherically symmetric charge distribution the equality
$<\phi|x^2|\phi>=<\phi|y^2|\phi>=\frac{1}{3}<\phi|r^2|\phi>$
is valid. Rewrite the diamagnetic part of the suscebtibility