Recently, efforts have been made to treat optical absorption of molecules and related phenomena via quantum electrodynamics [1131]. ** For other representations of quantum theory see e.g. Refs [829] and [830].* More precisely, disregarding the 3 translational and 3 rotational degrees of freedom of the whole molecule, one has 3m -6 independent internal coordinates determining the dimension of the vector space JRa }. This space is called the configuration space. * Strictly speaking, in a real situation nuclei oscillate around the equilibrium geometry due to the quantum mechanical zero point vibration, and to the thermal effects leading to excited vibrational states. * This can be seen easily by multiplying Eq. (1.46) by iрг . One can also prove that Eqs (1.46) are not only sufficient but also necessary conditions for the fulfillment of Eq. (1.44) ** A transformation with matrix U is said to be unitary if UU+ =1 where I is the unit matrix and the superscript " + " refers to the adjoint of the matrix.
, V, ,