Eigenvalues of the Schrödinger Equation for a Periodic Potential

Abdulla Jameel Sous

doi:doi:10.11648/j.ajmp.20150406.16

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Eigenvalues of the Schrödinger Equation for a Periodic Potential

Abdulla Jameel Sous

Published in American Journal of Modern Physics (Volume 4, Issue 6)

Received: 11 December 2015 Accepted: 23 December 2015 Published: 4 January 2016

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Abstract

By studying the application of the asymptotic iteration method, we found a new numerical results of the eigenvalues for non-quasi-exactly solvable periodic potential. In addition to that, the results we get for quasi-exactly solvable solution are typical to the results achieved by Qiong-Tao Xie [J. Phys. A: Math. Theor. 44 (2011) 285302].

Published in	American Journal of Modern Physics (Volume 4, Issue 6)
DOI	10.11648/j.ajmp.20150406.16
Page(s)	291-295
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), 2016. Published by Science Publishing Group

Keywords

Periodic Potential, Asymptotic Iteration Method, Eigenvalues E_n

References

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Abdulla Jameel Sous. (2016). Eigenvalues of the Schrödinger Equation for a Periodic Potential. American Journal of Modern Physics, 4(6), 291-295. https://doi.org/10.11648/j.ajmp.20150406.16

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Abdulla Jameel Sous. Eigenvalues of the Schrödinger Equation for a Periodic Potential. Am. J. Mod. Phys. 2016, 4(6), 291-295. doi: 10.11648/j.ajmp.20150406.16

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Abdulla Jameel Sous. Eigenvalues of the Schrödinger Equation for a Periodic Potential. Am J Mod Phys. 2016;4(6):291-295. doi: 10.11648/j.ajmp.20150406.16

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@article{10.11648/j.ajmp.20150406.16,
  author = {Abdulla Jameel Sous},
  title = {Eigenvalues of the Schrödinger Equation for a Periodic Potential},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {6},
  pages = {291-295},
  doi = {10.11648/j.ajmp.20150406.16},
  url = {https://doi.org/10.11648/j.ajmp.20150406.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150406.16},
  abstract = {By studying the application of the asymptotic iteration method, we found a new numerical results of the eigenvalues for non-quasi-exactly solvable periodic potential. In addition to that, the results we get for quasi-exactly solvable solution are typical to the results achieved by Qiong-Tao Xie [J. Phys. A: Math. Theor. 44 (2011) 285302].},
 year = {2016}
}

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TY  - JOUR
T1  - Eigenvalues of the Schrödinger Equation for a Periodic Potential
AU  - Abdulla Jameel Sous
Y1  - 2016/01/04
PY  - 2016
N1  - https://doi.org/10.11648/j.ajmp.20150406.16
DO  - 10.11648/j.ajmp.20150406.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 291
EP  - 295
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150406.16
AB  - By studying the application of the asymptotic iteration method, we found a new numerical results of the eigenvalues for non-quasi-exactly solvable periodic potential. In addition to that, the results we get for quasi-exactly solvable solution are typical to the results achieved by Qiong-Tao Xie [J. Phys. A: Math. Theor. 44 (2011) 285302].
VL  - 4
IS  - 6
ER  -

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Author Information

Abdulla Jameel Sous

Department of Mathematics, Faculty of Technology and Applied Sciences, Al-Quds Open University, Tulkarm, Palestine

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Abdulla Jameel Sous. (2016). Eigenvalues of the Schrödinger Equation for a Periodic Potential. American Journal of Modern Physics, 4(6), 291-295. https://doi.org/10.11648/j.ajmp.20150406.16

Copy | Download

ACS Style

Abdulla Jameel Sous. Eigenvalues of the Schrödinger Equation for a Periodic Potential. Am. J. Mod. Phys. 2016, 4(6), 291-295. doi: 10.11648/j.ajmp.20150406.16

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AMA Style

Abdulla Jameel Sous. Eigenvalues of the Schrödinger Equation for a Periodic Potential. Am J Mod Phys. 2016;4(6):291-295. doi: 10.11648/j.ajmp.20150406.16

Copy | Download

@article{10.11648/j.ajmp.20150406.16,
  author = {Abdulla Jameel Sous},
  title = {Eigenvalues of the Schrödinger Equation for a Periodic Potential},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {6},
  pages = {291-295},
  doi = {10.11648/j.ajmp.20150406.16},
  url = {https://doi.org/10.11648/j.ajmp.20150406.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150406.16},
  abstract = {By studying the application of the asymptotic iteration method, we found a new numerical results of the eigenvalues for non-quasi-exactly solvable periodic potential. In addition to that, the results we get for quasi-exactly solvable solution are typical to the results achieved by Qiong-Tao Xie [J. Phys. A: Math. Theor. 44 (2011) 285302].},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Eigenvalues of the Schrödinger Equation for a Periodic Potential
AU  - Abdulla Jameel Sous
Y1  - 2016/01/04
PY  - 2016
N1  - https://doi.org/10.11648/j.ajmp.20150406.16
DO  - 10.11648/j.ajmp.20150406.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 291
EP  - 295
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150406.16
AB  - By studying the application of the asymptotic iteration method, we found a new numerical results of the eigenvalues for non-quasi-exactly solvable periodic potential. In addition to that, the results we get for quasi-exactly solvable solution are typical to the results achieved by Qiong-Tao Xie [J. Phys. A: Math. Theor. 44 (2011) 285302].
VL  - 4
IS  - 6
ER  -

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