We have solved the non-relativistic Schrödinger equation with Scarf II plus Rosen-Morse II potential analytically for arbitrary l-state by using the newly improved ansaltz for the wave function and adopting the modified approximation scheme to evaluate the centrifugal term. The bound state energy spectrum and the un-normalized wave function expressed in terms of Jacobi polynomial are also obtained. With this method, we have obtained a negative energy spectrum for the system.
| Published in | American Journal of Physical Chemistry (Volume 4, Issue 5) |
| DOI | 10.11648/j.ajpc.20150405.11 |
| Page(s) | 38-41 |
| 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. |
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Copyright © The Author(s), 2015. Published by Science Publishing Group |
Non-Relativistic Schrödinger Equation, Scarf II Potential, Rosen-Morse II Potential, Bound State, Wave Function
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APA Style
Akaninyene D. Antia. (2015). Solutions of Nonrelativistic Schrödinger Equation with Scarf II Plus Rosen-Morse II Potential via Ansaltz Method. American Journal of Physical Chemistry, 4(5), 38-41. https://doi.org/10.11648/j.ajpc.20150405.11
ACS Style
Akaninyene D. Antia. Solutions of Nonrelativistic Schrödinger Equation with Scarf II Plus Rosen-Morse II Potential via Ansaltz Method. Am. J. Phys. Chem. 2015, 4(5), 38-41. doi: 10.11648/j.ajpc.20150405.11
AMA Style
Akaninyene D. Antia. Solutions of Nonrelativistic Schrödinger Equation with Scarf II Plus Rosen-Morse II Potential via Ansaltz Method. Am J Phys Chem. 2015;4(5):38-41. doi: 10.11648/j.ajpc.20150405.11
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Download@article{10.11648/j.ajpc.20150405.11,
author = {Akaninyene D. Antia},
title = {Solutions of Nonrelativistic Schrödinger Equation with Scarf II Plus Rosen-Morse II Potential via Ansaltz Method},
journal = {American Journal of Physical Chemistry},
volume = {4},
number = {5},
pages = {38-41},
doi = {10.11648/j.ajpc.20150405.11},
url = {https://doi.org/10.11648/j.ajpc.20150405.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpc.20150405.11},
abstract = {We have solved the non-relativistic Schrödinger equation with Scarf II plus Rosen-Morse II potential analytically for arbitrary l-state by using the newly improved ansaltz for the wave function and adopting the modified approximation scheme to evaluate the centrifugal term. The bound state energy spectrum and the un-normalized wave function expressed in terms of Jacobi polynomial are also obtained. With this method, we have obtained a negative energy spectrum for the system.},
year = {2015}
}
TY - JOUR T1 - Solutions of Nonrelativistic Schrödinger Equation with Scarf II Plus Rosen-Morse II Potential via Ansaltz Method AU - Akaninyene D. Antia Y1 - 2015/10/20 PY - 2015 N1 - https://doi.org/10.11648/j.ajpc.20150405.11 DO - 10.11648/j.ajpc.20150405.11 T2 - American Journal of Physical Chemistry JF - American Journal of Physical Chemistry JO - American Journal of Physical Chemistry SP - 38 EP - 41 PB - Science Publishing Group SN - 2327-2449 UR - https://doi.org/10.11648/j.ajpc.20150405.11 AB - We have solved the non-relativistic Schrödinger equation with Scarf II plus Rosen-Morse II potential analytically for arbitrary l-state by using the newly improved ansaltz for the wave function and adopting the modified approximation scheme to evaluate the centrifugal term. The bound state energy spectrum and the un-normalized wave function expressed in terms of Jacobi polynomial are also obtained. With this method, we have obtained a negative energy spectrum for the system. VL - 4 IS - 5 ER -
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