Pseudo polarization vector

Corresponding to the magnetization vector M = (M3j,My,Mj) in NMR spectroscopy we introduce for our optical two-level system the pseudo-polarization vector... 

We introduce a pseudo polarization vector P = sample, which replaces the magnetization vector in NMR. The components and Py are the vector sums of the x- and y-components of the molecular transition dipole moments y 2> while the z-component of P is proportional to the population difference aN = - N2. It can be shown (see for example... 

Fig.11.26. Development of the pseudo polarization vector and generation of a photon echo at t= 2t after applying a tt/2 pulse at t = 0 and a it pulse at...

Marchi and co-workers [27,28] have applied Equation (1.79) in the context of classical MD by using a Fourier pseudo-spectral approximation of the polarization vector field. This approach provides a convenient way to evaluate the required integrals over all volume at the price of introducing in the extended Lagrangian a set of polarization field variables all with the same fictitious mass. They also recognized the cmcial requirement that both the atomic charge distribution and the position-dependent dielectric constant be continuous functions of the atomic positions and they devised suitable expressions for both. 

As already remarked the imaginary part of the pseudo-scalar i determines the optical rotatory power. X m is a polar vector perpendicular to the electric dipole direction and 2 - - its (scalar) magnitude. In both the averages to be discussed the contribution by R- averages to zero. Where the molecules are locked with electric dipole directions fixed, but are each free to rotate independently about these axes, the averaged discriminating term is given by expression (III. 15)... 

To apply the above equations to H + H2, an expression of the vector potential A(R,r,y) is needed, this can be obtained from (19) once the angle a(R, r, y) has been specified. As mentioned before, this angle can be chosen in a free way provided that a = 0 2jt describes a closed path around the conical intersection. The angle a is chosen to be the pseudo-rotation polar angle of the Dsh doubly degenerate normal mode, which is given by [30] ... 

In general, polarized radiation can be described by four Stokes parameters (I,Q,U,V) the linear polarization is a pseudo-vector P = + U )/I ... 

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