Optical equivalence theorem (original) (raw)

The optical equivalence theorem in quantum optics asserts an equivalence between the expectation value of an operator in Hilbert space and the expectation value of its associated function in the phase space formulation with respect to a quasiprobability distribution. The theorem was first reported by George Sudarshan in 1963 for normally ordered operators and generalized later that decade to any ordering. The above framed equation becomes For example, let Ω be the normal order. This means that g can be written in a power series of the following form: