The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory

Kishori Yadav; Jeevan Jyoti Nakarmi

doi:doi:10.11648/j.ijmea.20140206.12

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The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory

Kishori Yadav, Jeevan Jyoti Nakarmi

Published in International Journal of Mechanical Engineering and Applications (Volume 2, Issue 6)

Received: 7 November 2014 Accepted: 18 November 2014 Published: 28 November 2014

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Abstract

This paper intended to the elastic scattering of an electron from the target by absorbing a photon from the laser field has been studied for the polarized potential. Since the solution of the Schro ̈dinger equation of whole three-body system has not been found, we consider such intensities of electromagnetic field (Laser field) that the electron field coupling is the dominant process and the target is transparent to the field such that photon- target coupling can be ignored. Therefore the internal structure of target can be ignored and represented just as a scattering potential. For number of photon, l=-1 i.e, absorption of a photon (inverse Bremsstrahlung), we have concluded that the differential scattering cross section of an electron depends upon the fourth power of the wavelength (λ^4) and the intensity of the Laser field. From this work we see that at certain values of laser parameters the differential scattering cross section of scattered electron decreases with increase in scattering angle and attains a minimum value of 0.1 barn and further increase in scattering angle also increases in differential scattering cross section and attains a maximum value of 0.3 barn.

Published in	International Journal of Mechanical Engineering and Applications (Volume 2, Issue 6)
DOI	10.11648/j.ijmea.20140206.12
Page(s)	87-97
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), 2014. Published by Science Publishing Group

Keywords

Scattering, Bremsstrahlung, Volkov Wave Function, Polarized Potential

References

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[13]	J.J. Sakurai- Modern Quantum Mechanics Revised Edition, Addition-Wesley Publishing Company (1994).
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APA Style

Kishori Yadav, Jeevan Jyoti Nakarmi. (2014). The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory. International Journal of Mechanical Engineering and Applications, 2(6), 87-97. https://doi.org/10.11648/j.ijmea.20140206.12

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ACS Style

Kishori Yadav; Jeevan Jyoti Nakarmi. The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory. Int. J. Mech. Eng. Appl. 2014, 2(6), 87-97. doi: 10.11648/j.ijmea.20140206.12

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AMA Style

Kishori Yadav, Jeevan Jyoti Nakarmi. The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory. Int J Mech Eng Appl. 2014;2(6):87-97. doi: 10.11648/j.ijmea.20140206.12

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@article{10.11648/j.ijmea.20140206.12,
  author = {Kishori Yadav and Jeevan Jyoti Nakarmi},
  title = {The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {2},
  number = {6},
  pages = {87-97},
  doi = {10.11648/j.ijmea.20140206.12},
  url = {https://doi.org/10.11648/j.ijmea.20140206.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20140206.12},
  abstract = {This paper intended to the elastic scattering of an electron from the target by absorbing a photon from the laser field has been studied for the polarized potential. Since the solution of the Schro ̈dinger equation of whole three-body system has not been found, we consider such intensities of electromagnetic field (Laser field) that the electron field coupling is the dominant process and the target is transparent to the field such that photon- target coupling can be ignored. Therefore the internal structure of target can be ignored and represented just as a scattering potential. For number of photon, l=-1 i.e, absorption of a photon (inverse Bremsstrahlung), we have concluded that the differential scattering cross section of an electron depends upon the fourth power of the wavelength (λ^4) and the intensity of the Laser field. From this work we see that at certain values of  laser parameters the differential scattering cross section of scattered electron decreases with increase in scattering angle and attains a minimum value of 0.1 barn and further increase in scattering angle also increases in differential scattering cross section and attains a maximum value of 0.3 barn.},
 year = {2014}
}

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TY  - JOUR
T1  - The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory
AU  - Kishori Yadav
AU  - Jeevan Jyoti Nakarmi
Y1  - 2014/11/28
PY  - 2014
N1  - https://doi.org/10.11648/j.ijmea.20140206.12
DO  - 10.11648/j.ijmea.20140206.12
T2  - International Journal of Mechanical Engineering and Applications
JF  - International Journal of Mechanical Engineering and Applications
JO  - International Journal of Mechanical Engineering and Applications
SP  - 87
EP  - 97
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20140206.12
AB  - This paper intended to the elastic scattering of an electron from the target by absorbing a photon from the laser field has been studied for the polarized potential. Since the solution of the Schro ̈dinger equation of whole three-body system has not been found, we consider such intensities of electromagnetic field (Laser field) that the electron field coupling is the dominant process and the target is transparent to the field such that photon- target coupling can be ignored. Therefore the internal structure of target can be ignored and represented just as a scattering potential. For number of photon, l=-1 i.e, absorption of a photon (inverse Bremsstrahlung), we have concluded that the differential scattering cross section of an electron depends upon the fourth power of the wavelength (λ^4) and the intensity of the Laser field. From this work we see that at certain values of  laser parameters the differential scattering cross section of scattered electron decreases with increase in scattering angle and attains a minimum value of 0.1 barn and further increase in scattering angle also increases in differential scattering cross section and attains a maximum value of 0.3 barn.
VL  - 2
IS  - 6
ER  -

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Author Information

Kishori Yadav

Central Department of Physics, T. U., Kirtipur, Nepal
Jeevan Jyoti Nakarmi

Central Department of Physics, T. U., Kirtipur, Nepal

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APA Style

Kishori Yadav, Jeevan Jyoti Nakarmi. (2014). The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory. International Journal of Mechanical Engineering and Applications, 2(6), 87-97. https://doi.org/10.11648/j.ijmea.20140206.12

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ACS Style

Kishori Yadav; Jeevan Jyoti Nakarmi. The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory. Int. J. Mech. Eng. Appl. 2014, 2(6), 87-97. doi: 10.11648/j.ijmea.20140206.12

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AMA Style

Kishori Yadav, Jeevan Jyoti Nakarmi. The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory. Int J Mech Eng Appl. 2014;2(6):87-97. doi: 10.11648/j.ijmea.20140206.12

Copy | Download

@article{10.11648/j.ijmea.20140206.12,
  author = {Kishori Yadav and Jeevan Jyoti Nakarmi},
  title = {The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {2},
  number = {6},
  pages = {87-97},
  doi = {10.11648/j.ijmea.20140206.12},
  url = {https://doi.org/10.11648/j.ijmea.20140206.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20140206.12},
  abstract = {This paper intended to the elastic scattering of an electron from the target by absorbing a photon from the laser field has been studied for the polarized potential. Since the solution of the Schro ̈dinger equation of whole three-body system has not been found, we consider such intensities of electromagnetic field (Laser field) that the electron field coupling is the dominant process and the target is transparent to the field such that photon- target coupling can be ignored. Therefore the internal structure of target can be ignored and represented just as a scattering potential. For number of photon, l=-1 i.e, absorption of a photon (inverse Bremsstrahlung), we have concluded that the differential scattering cross section of an electron depends upon the fourth power of the wavelength (λ^4) and the intensity of the Laser field. From this work we see that at certain values of  laser parameters the differential scattering cross section of scattered electron decreases with increase in scattering angle and attains a minimum value of 0.1 barn and further increase in scattering angle also increases in differential scattering cross section and attains a maximum value of 0.3 barn.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory
AU  - Kishori Yadav
AU  - Jeevan Jyoti Nakarmi
Y1  - 2014/11/28
PY  - 2014
N1  - https://doi.org/10.11648/j.ijmea.20140206.12
DO  - 10.11648/j.ijmea.20140206.12
T2  - International Journal of Mechanical Engineering and Applications
JF  - International Journal of Mechanical Engineering and Applications
JO  - International Journal of Mechanical Engineering and Applications
SP  - 87
EP  - 97
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20140206.12
AB  - This paper intended to the elastic scattering of an electron from the target by absorbing a photon from the laser field has been studied for the polarized potential. Since the solution of the Schro ̈dinger equation of whole three-body system has not been found, we consider such intensities of electromagnetic field (Laser field) that the electron field coupling is the dominant process and the target is transparent to the field such that photon- target coupling can be ignored. Therefore the internal structure of target can be ignored and represented just as a scattering potential. For number of photon, l=-1 i.e, absorption of a photon (inverse Bremsstrahlung), we have concluded that the differential scattering cross section of an electron depends upon the fourth power of the wavelength (λ^4) and the intensity of the Laser field. From this work we see that at certain values of  laser parameters the differential scattering cross section of scattered electron decreases with increase in scattering angle and attains a minimum value of 0.1 barn and further increase in scattering angle also increases in differential scattering cross section and attains a maximum value of 0.3 barn.
VL  - 2
IS  - 6
ER  -

Copy | Download