Symbols G Greenfunction Go(r,:r,)= free Green function group generator of aa continuos transformation or of a h=6.626069×10-34-s Planck constant h=h/2m Ih) state of horizontal polarization H Hilbert space HA Hilbert space of the apparatus Hilbert space of the system A Hamiltonian operator Ho Ar field Hamiltonian H interaction Hamiltonian interaction Hamiltonian in Dirac picture Hic Javnes-Cummings Hamiltonian planar part of the Hamiltonian Ha()=(-1)"esfe-n-th Hermite polynomial,for all n0 imaginary unity Cartesian verso initial state vector intensity (of radiation) moment of inertia identity operator )=罗 imaginary part of a complex number z Jy Cartesian versor arbitrary ket,element of a continuous or discrete basis j.m) eigenket of density of the probability h incidental current density reflected current density transmitted current density total angular momentum jump superoperator k.k wave vector Cartesian versor Boltzmann constant basisxxiii Symbols G Green function G0(r , t ; r, t) = −ı m 2πıh¯(t −t)  3 2 e ım|r −r| 2 2h¯(t−t) free Green function G group Gˆ generator of a a continuos transformation or of a group h = 6.626069 × 10−34J · s Planck constant h¯ = h/2π | h state of horizontal polarization H Hilbert space HA Hilbert space of the apparatus HS Hilbert space of the system Hˆ Hamiltonian operator Hˆ0 unperturbed Hamiltonian Hˆ A Hamiltonian of a free atom HˆF field Hamiltonian HˆI interaction Hamiltonian Hˆ I I interaction Hamiltonian in Dirac picture Hˆ JC Jaynes–Cummings Hamiltonian Hˆr planar part of the Hamiltonian Hn(ζ ) = (−1) n eζ 2 dn dζ n e−ζ 2 n-th Hermite polynomial, for all n = 0 ı imaginary unity ı x Cartesian versor |i initial state vector I intensity (of radiation) I moment of inertia ˆI identity operator (z) = z−z∗ 2ı imaginary part of a complex number z j y Cartesian versor jˆ = Jˆ /h¯ = (jˆx , jˆy , jˆz) | j arbitrary ket, element of a continuous or discrete basis | j, m eigenket of Jˆ z J density of the probability current JI incidental current density JR reflected current density JT transmitted current density Jˆ = Lˆ + Sˆ = (Jˆ x , Jˆ y , Jˆ z) total angular momentum ˆ Jˆ jump superoperator k, k wave vector k z Cartesian versor kB Boltzmann constant | k generic ket, element of a continuous or discrete basis