The Theory of Spontaneous Emission and Manifestation of Fermis Golden Rule

Abstract

In the present work we have worked out a vector model for spontaneous emission based on the principle of moving vectors. This simplified approach reflects the work of Weisskopf and Wigner. Normalized probability of a transition to an upper level versus detuning has been plotted. Further we have shown that the areas which have been generated at phasor diagrams in different values of decay constants for moving vectors are directly proportional to time. This is a manifestation of Fermi's Golden rule. Fermi's Golden Rule in quantum mechanics is well known. But it is for the first time that we have worked out the concept of moving vectors using the transition probabilities and the concept of phasor diagrams to represent the Fermi's Golden rule.