Electromagnetic fields relationships between components

In this chapter we discuss the close relationship between the Born-Oppenheimer treatment of molecular systems and field theory as applied to elementary particles. The theory is based on the Born-Oppenheimer non-adiabatic coupling terms which are known to behave as vector potentials in electromagnetic dynamics. Treating the time-dependent Schrodinger equation for the electrons and the nuclei we show that enforcing diabatization produces for non-Abelian time-dependent systems the four-component Curl equation as obtained by Yang and Mills (Phys. Rev. 95, 631 (1954)). [Pg.103]

The starting point for nonhnear optics is the constitutive relationship between the polarization induced in a molecule (p) and the electric field components of incident electromagnetic waves ( ). With the electric dipole approximation that ignores magnetic dipoles and higher order multipoles... [Pg.298]

In this section we will explore some general relationships between the various responses of an electromagnetic field. First of all we will start from a relationship between the quadrature and inphase components of the field. For example, representing the complex amplitude of the electric field as being the sum of two components ... [Pg.107]