Magnetic translation algebra
= Magnetic translation algebra
For constant $B$,
$$
\mathcal T_r\mathcal T_{r'}
=\exp\left(\frac{ie}{\hbar}(r\times r')\cdot B\right)
\mathcal T_{r'}\mathcal T_r.
$$
= Magnetic translation algebra
For constant $B$,
$$
\mathcal T_r\mathcal T_{r'}
=\exp\left(\frac{ie}{\hbar}(r\times r')\cdot B\right)
\mathcal T_{r'}\mathcal T_r.
$$