sentences:  After quantizing the electromagnetic field, the Heisenberg Equation as well as Maxwell's equations can then be used to find the resulting equations of motion for formula_3 as well as for formula_6, the annihilation operator of the field,
  
  formula_7
  
  formula_8,
  
  where formula_9 and formula_10 are frequency parameters used to simplify equations.Now that the dynamics of the field with respect to the states of the atom has been described, the mechanism through which photons are released from the atom as the electron falls from the excited state to the ground state, Spontaneous Emission, can be examined.Spontaneous emission is when an excited electron arbitrarily decays to the ground state emitting a photon.