The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole

Jahangir A. Dar

doi:doi:10.11648/j.ajaa.20140206.12

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The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole

Jahangir A. Dar

Published in American Journal of Astronomy and Astrophysics (Volume 2, Issue 6)

Received: 19 November 2014 Accepted: 23 December 2014 Published: 29 December 2014

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Abstract

The mechanism of spontaneous emission radiated by the relativistic hydrogen atom falling radially towards Schwarzschild black hole, on the basis of Newtonian mechanics and Bohr’s atomic theory is presented here. The energy radiated by this hydrogen atom is calculated as, ζ= AR(moτ/MB)-moc2, where, AR is a constant. The relation for Lorentz factorγ of relativity with mass MB of collapsed star and mo initial mass of particle is also derived. Furthermore, Hawking’s energy relation for black holes has been derived also from the spontaneous energy relations using same boundary conditions the Hawking radiation possess. The frequency of energy spectrum has been found fall in gamma region of electromagnetic spectrum with range of 1023 and 1024 Hz.

Published in	American Journal of Astronomy and Astrophysics (Volume 2, Issue 6)
DOI	10.11648/j.ajaa.20140206.12
Page(s)	66-71
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Gravitational Radiation, Electromagnetic Radiation, Schwarzchild Black Hole, Hawking Radiation,Newtonian Mechanics, Bohr Atomic model and Special Relativity

References

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Jahangir A. Dar. (2014). The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole. American Journal of Astronomy and Astrophysics, 2(6), 66-71. https://doi.org/10.11648/j.ajaa.20140206.12

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Jahangir A. Dar. The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole. Am. J. Astron. Astrophys. 2014, 2(6), 66-71. doi: 10.11648/j.ajaa.20140206.12

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AMA Style

Jahangir A. Dar. The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole. Am J Astron Astrophys. 2014;2(6):66-71. doi: 10.11648/j.ajaa.20140206.12

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@article{10.11648/j.ajaa.20140206.12,
  author = {Jahangir A. Dar},
  title = {The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole},
  journal = {American Journal of Astronomy and Astrophysics},
  volume = {2},
  number = {6},
  pages = {66-71},
  doi = {10.11648/j.ajaa.20140206.12},
  url = {https://doi.org/10.11648/j.ajaa.20140206.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaa.20140206.12},
  abstract = {The mechanism of spontaneous emission radiated by the relativistic hydrogen atom falling radially towards Schwarzschild black hole, on the basis of Newtonian mechanics and Bohr’s atomic theory is presented here. The energy radiated by this hydrogen atom is calculated as, ζ= AR(moτ/MB)-moc2, where, AR is a constant. The relation for Lorentz factorγ of relativity with mass MB of collapsed star and mo initial mass of particle is also derived. Furthermore, Hawking’s energy relation for black holes has been derived also from the spontaneous energy relations using same boundary conditions the Hawking radiation possess. The frequency of energy spectrum has been found fall in gamma region of electromagnetic spectrum with range of 1023 and 1024 Hz.},
 year = {2014}
}

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TY  - JOUR
T1  - The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole
AU  - Jahangir A. Dar
Y1  - 2014/12/29
PY  - 2014
N1  - https://doi.org/10.11648/j.ajaa.20140206.12
DO  - 10.11648/j.ajaa.20140206.12
T2  - American Journal of Astronomy and Astrophysics
JF  - American Journal of Astronomy and Astrophysics
JO  - American Journal of Astronomy and Astrophysics
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EP  - 71
PB  - Science Publishing Group
SN  - 2376-4686
UR  - https://doi.org/10.11648/j.ajaa.20140206.12
AB  - The mechanism of spontaneous emission radiated by the relativistic hydrogen atom falling radially towards Schwarzschild black hole, on the basis of Newtonian mechanics and Bohr’s atomic theory is presented here. The energy radiated by this hydrogen atom is calculated as, ζ= AR(moτ/MB)-moc2, where, AR is a constant. The relation for Lorentz factorγ of relativity with mass MB of collapsed star and mo initial mass of particle is also derived. Furthermore, Hawking’s energy relation for black holes has been derived also from the spontaneous energy relations using same boundary conditions the Hawking radiation possess. The frequency of energy spectrum has been found fall in gamma region of electromagnetic spectrum with range of 1023 and 1024 Hz.
VL  - 2
IS  - 6
ER  -

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Author Information

Jahangir A. Dar

Innovator at USIC Department, University of Kashmir, Srinagar, J&K, India

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APA Style

Jahangir A. Dar. (2014). The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole. American Journal of Astronomy and Astrophysics, 2(6), 66-71. https://doi.org/10.11648/j.ajaa.20140206.12

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ACS Style

Jahangir A. Dar. The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole. Am. J. Astron. Astrophys. 2014, 2(6), 66-71. doi: 10.11648/j.ajaa.20140206.12

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AMA Style

Jahangir A. Dar. The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole. Am J Astron Astrophys. 2014;2(6):66-71. doi: 10.11648/j.ajaa.20140206.12

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@article{10.11648/j.ajaa.20140206.12,
  author = {Jahangir A. Dar},
  title = {The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole},
  journal = {American Journal of Astronomy and Astrophysics},
  volume = {2},
  number = {6},
  pages = {66-71},
  doi = {10.11648/j.ajaa.20140206.12},
  url = {https://doi.org/10.11648/j.ajaa.20140206.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaa.20140206.12},
  abstract = {The mechanism of spontaneous emission radiated by the relativistic hydrogen atom falling radially towards Schwarzschild black hole, on the basis of Newtonian mechanics and Bohr’s atomic theory is presented here. The energy radiated by this hydrogen atom is calculated as, ζ= AR(moτ/MB)-moc2, where, AR is a constant. The relation for Lorentz factorγ of relativity with mass MB of collapsed star and mo initial mass of particle is also derived. Furthermore, Hawking’s energy relation for black holes has been derived also from the spontaneous energy relations using same boundary conditions the Hawking radiation possess. The frequency of energy spectrum has been found fall in gamma region of electromagnetic spectrum with range of 1023 and 1024 Hz.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - The Theory of Relativistic Spontaneous Emission from Hydrogen Atom in Schwarzschild Black Hole
AU  - Jahangir A. Dar
Y1  - 2014/12/29
PY  - 2014
N1  - https://doi.org/10.11648/j.ajaa.20140206.12
DO  - 10.11648/j.ajaa.20140206.12
T2  - American Journal of Astronomy and Astrophysics
JF  - American Journal of Astronomy and Astrophysics
JO  - American Journal of Astronomy and Astrophysics
SP  - 66
EP  - 71
PB  - Science Publishing Group
SN  - 2376-4686
UR  - https://doi.org/10.11648/j.ajaa.20140206.12
AB  - The mechanism of spontaneous emission radiated by the relativistic hydrogen atom falling radially towards Schwarzschild black hole, on the basis of Newtonian mechanics and Bohr’s atomic theory is presented here. The energy radiated by this hydrogen atom is calculated as, ζ= AR(moτ/MB)-moc2, where, AR is a constant. The relation for Lorentz factorγ of relativity with mass MB of collapsed star and mo initial mass of particle is also derived. Furthermore, Hawking’s energy relation for black holes has been derived also from the spontaneous energy relations using same boundary conditions the Hawking radiation possess. The frequency of energy spectrum has been found fall in gamma region of electromagnetic spectrum with range of 1023 and 1024 Hz.
VL  - 2
IS  - 6
ER  -

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