Recent content by matt223

Homework Statement An atomic system has 2 alternative 2-state bases. The angular momentum bases are \left | \mu_i \right \rangle with L_0 = 0 and L_1 = 1. The energy eigenstates are \left | \phi_i \right \rangle with E_0 and E_1. All states are normalised and: \left | \mu_0 \right...

Homework Statement The questions asks for a proof that if a geometrical transformation R on a three dimensional vector space with metric \eta is length preserving, then R^{T}\eta R=\eta. Note that the summation convention is used throughout. The transformation is given by x'_{i}=R_{ij}x_{j}...