Abstract
The Tietz-Hua potential is modified by the inclusion of \( D_{e} \left( {\frac{{C_{h} - 1}}{{1 - C_{h} e^{{ - b_{h} \left( {r - r_{e} } \right)}} }}} \right)be^{{ - b_{h} \left( {r - r_{e} } \right)}} \) term to the Tietz-Hua potential model since a potential of such type is very good in the description and vibrational energy levels for diatomic molecules. The energy eigenvalues and the corresponding eigenfunctions are explicitly obtained using the methodology of parametric Nikiforov-Uvarov. By putting the potential parameter \( b = 0, \) in the modified Tietz-Hua potential quickly reduces to the Tietz-Hua potential. To show more applications of our work, we have computed the Shannon entropy and Information energy under the modified Tietz-Hua potential. However, the computation of the Shannon entropy and Information energy is an extension of the work of Falaye et al., who computed only the Fisher information under Tietz-Hua potential.
Similar content being viewed by others
References
S M Ikhdair and J Abu-Hasna Phys. Scr. 83 025002 (2011)
T T Ibrahim, K J Oyewumi and S M Wyngaardt Eur. Phys. J. Plus. 127 100 (2012)
H Hassanabadi, E Maghsoodi, S Zarrinkamar and H Rahimov Can. J. Phys. 90 633 (2012)
O J Oluwadare and K J Oyewumi Eur. Phys. J. Plus. 131 295 (2016)
B J Falaye Few-Body Syst. 53 557 (2012)
S M Ikhdair and B J Falaye Chin. Phys. 421 84 (2013)
C Onate, K J Oyewumi and B J Falaye Few-Body Syst. 55 61 (2014)
P Q Wang, J Y Liu, L H Zhang, S Y Cao and C S Jia J. Mol. Spectrosc. 278, 23 (2012)
G F Wei, W L Chen and S H Dong Phys. Lett. A. 378 2367 (2004)
D Agboola Commun. Theor. Phys. 55 972 (2011)
A N Ikot and L E Akpabio Appl. Phys. Research 2 202 (2010)
A D Antia, A N Ikot, H Hassanabadi and E Magshoodi Indian J. Phys. 87 1133 (2013)
A N Ikot, O A Awoga, H Hassanabadi and E Magshoodi Commun. Theor. Phys. 61 457 (2014)
M C Onyeaju, A N Ikot, E O Chukwuocha, H P Obong, S Zare and H Hassanabadi Few-Body Syst. 57 823 (2016)
C A Onate, M C Onyeaju and A N Ikot Ann. Phys. 375 239 (2016)
W C Qiang and S H Dong Phys. Lett. A 368, 13(2007)
G F Wei and S H Dong Phys. Lett. B 686, 288(2010)
S H Dong, W C Qiang, G H Sun and V B Bezerra J. Phys. A:Math. Theor. 40, 10535(2007)
H Hassanabadi, L L Lu, S Zarrinkamar, G H Liu and H Rahimov Act. Phys. Polo-Ser. A. Gen. Phys. 122 650 (2012)
H Hassnabadi, B H Yazarloo and S Zarrinkamar Arabian J. Sci. Engr. 39 495 (2014)
P M Morse Phys. Rev. 34 57 (1929)
E Levin, H Partridge and J R Stallcop J. Thermophys. Heat Transfer 4 469 (1990)
R T Pack J. Chem. Phys. 57 4612 (1972)
G A Natanson Phys. Rev. A. 44 3377 (1991)
S MIkhdair Phys. Scr. 83 015010 (2011)
B J Falaye, K J Oyewumi, T T Ibrahim, M A Punyasena and C A Onate Can. J. Phys. 98 104 (2013)
K J Oyewumi, B J Falaye, C A Onate, O J Oluwadare and W A Yahya Mol. Phys. 112 127 (2014)
C Y Chen, Y You, F L Lu and S H Dong Phys. Lett. A. 377 1070 (2013)
A N Ikot and O Akpan Chin. Phys. Lett. 29 09032 (2012)
C A Onate, M C Onyeaju, A N Ikot and J O Ojonubah Chin. J. Phys. 54 820 (2016)
M Hamzavi, A A Rajabi and H Hassanabadi Mol. Phys. 110 389 (2012)
B J Falaye, S M Ikhdair and M Hamzavi J. Theor. Appl. Phys. 9 151 (2015)
S M Ikhdair and M Hamzavi Few-Body Syst. 53 473 (2012)
C S Jia, Y F Diao, X J Liu, P Q Wang, J Y Liu and G D Zhang J. Chem. Phys. 137 014101 (2012)
P Q Wang, L H Zhang, C S Jia, L Y Liu. J. Mol. Spect. 274 5 (2012)
H Wei Phys. Rev. A. 42 2524 (1990)
T Tietz J. Chem. Phys. 38 3036 (1963)
B J Falaye, K J Oyewumi, S M Ikhdair and M Hamzavi Phys. Scr. 89 473 (2014)
A F Nikiforov and V B Uvarov Special Functions of Mathematical Physics. (Berlin: Birkhausr) (1998)
C Tezcan and R Sever Int J. Theor. Phys. 48 337 (2009)
M G Miranda, G H Sun and S H Dong Int. J. Mod. Phys. E 19 123 (2010)
M C Zhang, G H Sun and S H Dong Phys. Lett. A. 374 704 (2010)
M Hamzavi, K E Thylwe and A A Rajabi Commun. Theor. Phys. 601 (2013)
C L Pekeris Phys. Rev. 45 98 (1934)
S Touloum, A Gharbi and A Bouda Indian J. Phys. https://doi.org/10.1007/s12648-016-0941-7
G H Sun and SH Dong Commun. Theor. Phys. 58 195 (2012)
C E Shannon Bell. Syst. Tech. J. 27 623 (1948)
C S Jia, L H Zhang and C W Wang Chem. Phys. Lett. 667 211 (2017)
C S Jia, C W Wang, L H Zhang, X L Peng, R Zeng and X T You Chem. Phys. Lett. 676 150 (2017)
X Q Song, C W Wang and C S Jia, Chem. Phys. Lett. 673 50 (2017)
C S Jia, T He and Z W Shui, Comput. Theor. Chem. 1108, 57 (2017)
Y Sun, G H Zhang and C S Jia, Chem. Phys. Lett. 636, 197 (2015)
X T Hu, J Y Liu and C S Jia, Comput. Theor. Chem. 1019, 137 (2013
G D Zhang, W Zhou, J Y Liu, L H Zhang and C S Jia, Chem. Phys. Lett. 439, 79 (2014)
G H Sun and S H Dong Phys. Scr. 87, 045003 (2013)
G H Sun, P Dusan, N C Oscar and S H Dong Chin. Phys. B 24, 100303 (2013)
B F Falaye, F A Serrano and S H Dong Phys. Lett. A 380, 267 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Onate, C.A., Onyeaju, M.C., Ituen, E.E. et al. Eigensolutions, Shannon entropy and information energy for modified Tietz-Hua potential. Indian J Phys 92, 487–493 (2018). https://doi.org/10.1007/s12648-017-1124-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-017-1124-x