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The Theory of Spontaneous Emission and Manifestation of Fermi’s Golden Rule
J. Saikia1 , B. Goswami2 , G.D. Baruah3
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.6 , pp.189-192, Dec-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrpas/v6i6.189192
Online published on Dec 31, 2018
Copyright © J. Saikia, B. Goswami , G.D. Baruah . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: J. Saikia, B. Goswami , G.D. Baruah, “The Theory of Spontaneous Emission and Manifestation of Fermi’s Golden Rule,” International Journal of Scientific Research in Physics and Applied Sciences, Vol.6, Issue.6, pp.189-192, 2018.
MLA Style Citation: J. Saikia, B. Goswami , G.D. Baruah "The Theory of Spontaneous Emission and Manifestation of Fermi’s Golden Rule." International Journal of Scientific Research in Physics and Applied Sciences 6.6 (2018): 189-192.
APA Style Citation: J. Saikia, B. Goswami , G.D. Baruah, (2018). The Theory of Spontaneous Emission and Manifestation of Fermi’s Golden Rule. International Journal of Scientific Research in Physics and Applied Sciences, 6(6), 189-192.
BibTex Style Citation:
@article{Saikia_2018,
author = {J. Saikia, B. Goswami , G.D. Baruah},
title = {The Theory of Spontaneous Emission and Manifestation of Fermi’s Golden Rule},
journal = {International Journal of Scientific Research in Physics and Applied Sciences},
issue_date = {12 2018},
volume = {6},
Issue = {6},
month = {12},
year = {2018},
issn = {2347-2693},
pages = {189-192},
url = {https://www.isroset.org/journal/IJSRPAS/full_paper_view.php?paper_id=1053},
doi = {https://doi.org/10.26438/ijcse/v6i6.189192}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i6.189192}
UR - https://www.isroset.org/journal/IJSRPAS/full_paper_view.php?paper_id=1053
TI - The Theory of Spontaneous Emission and Manifestation of Fermi’s Golden Rule
T2 - International Journal of Scientific Research in Physics and Applied Sciences
AU - J. Saikia, B. Goswami , G.D. Baruah
PY - 2018
DA - 2018/12/31
PB - IJCSE, Indore, INDIA
SP - 189-192
IS - 6
VL - 6
SN - 2347-2693
ER -
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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.
Key-Words / Index Term :
Spontaneous emission, detuning, Moving Vector, Golden Rule
References :
[1] V.F. Weisskopf and E. Wigner, Z. Physik 39, 54 (1930).
[2] M. Sargent III, M.O. Scully and W.E. Lamb Jr., Laser Physics (Addison-Wesley Publishing Company, Reading, Massachusetts) 1974.
[3] F.B. Hazarika, S.N. Rai and G.D. Baruah, OPTIK, Int. J. Light. Electron. Opt. 122, 85 (2011). [4] F.B. Hazarika, B. Goswami, H. Konwar and G.D. Baruah, Asian J. Spectroscopy, Special issue, 291-294, (2012).
[5] I.I. Rabi, Phys. Rev. 51, 652 (1937).
[6] F.W. Cummings, Phys, Rev. 149, 104 (1963).
[7] J.H. Eberley, N.B. Narozhny and J.J. Sanchez-Mondragon, Phys, Rev. Letts. 44, 1323 (1980).
[8] E. Jaynes and F.W. Cummings. Prr. IEEE, 51, 89 (1963).
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