An analysis of lasing without inversion in a three level system in terms of vector representation

Hazarika, Farzana B.; Rai, Shaildhish; Baruah, G. D.

doi:10.1016/j.ijleo.2009.11.013

Cited by 3 publications

(1 citation statement)

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“…In the present work we report a vector model of spontaneous emission which actually reflects the works of Weisskopf and Wigner (1). In our earlier work we had indicated that the vector model worked out by us has lot of practical applications [3,4]. In the present work we show for the first time that the areas generated from the phasor diagrams are proportional to time, a fact which is nothing but the manifestation of Fermi-Golden rule in quantum mechanics.…”

Section:   supporting

confidence: 77%

The Theory of Spontaneous Emission and Manifestation of Fermis Golden Rule

Saikia¹,

Goswami²,

Baruah³

2018

IJSRPAS

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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.

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Section:   supporting

confidence: 77%