Abstract
In this paper, s-wave Schrödinger equation with Hua plus modified Eckart potential is investigated. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner and compared with results obtained from finite difference method. Some special cases of this potential are also studied.
Similar content being viewed by others
References
S H Dong Int. J. Theor. Phys. 39 1529 (2000)
X Y Gu and S H Dong J. Math. Chem. 49 2053 (2011)
S H Dong Int. J. Theor. Phys. 41 1991 (2002)
H Hassanabadi, B H Yazarloo and L L Lu Chin. Phys. Lett. 29 020303 (2012)
B H Yazarloo, H Hassanabadi and S Zarrinkamar Eur. Phys. J. Plus 127 51 (2012)
L I Schiff Quantum Mechanics (New York: McGraw-Hill) 3rd Ed. (1955)
L D Landau and E M Lifshitz Quantum Mechanics-Non-Relativistic Theory (Oxford: Pergamon) (1977)
S H Dong Factorization Method in Quantum Mechanics (Netherlands: Springer) (2007)
A D Antia, A N Ikot, I O Akpan and O A Awoga Indian J. Phys. 87 155 (2013)
G F Wei and S H Dong Canadian J. Phys. 89 1225 (2011)
S H Dong and G H Sun Phys. Lett. A 314 261 (2003)
H Hassanabadi, B H Yazarloo, S Zarrinkamar and H Rahimov Commun. Theor. Phys. 57 339 (2012)
W Hua Phys. Rev. A 42 2524 (1990)
G H Sun and S H Dong Commun. Theor. Phys. 58 195 (2012)
C Eckart Phys. Rev. 35 1303 (1930)
F Cooper, A Kahare and U Sukhatme Phys. Rept. 251 267 (1995)
J J Weiss J. Chem. Phys. 41 1120 (1964)
M Hamzavi, H Hassanabadi and A A Rajabi Int. J. Theor. Phys. 50 454 (2011)
P M Mörse Phys. Rev. 34 57 (1929)
S Sheppard and M V K Chari Numerical Methods in Electromagnetism (United Kingdom: Oxford) (1999)
J D Cooper, A Valavanis, Z Ikonic, P Harrison and J E Cunningham J. Appl. Phys. 108 113109 (2010)
I H Tan, G L Snider, L D Chang and E L Hu J. Appl. Phys. 68 4071 (1990)
F Y Hajj J. Phys. B: At. Mol. Phys. 18 1 (1985)
F Qu and P C Morais J. Chem. Phys. 111 8588 (1999)
P A Khomyakov and G Brocks Phys. Rev. B 70 195402 (2004)
G F Wei, S H Dong and V B. Bezerra Int. J. Mod. Phys. A 24 161 (2009)
S H Dong, W C Qiang, G H Sun and V B Bezerra J. Phys. A. 40 10535 (2007)
G F Wei, C Y Long, X Y Duan and S H Dong Phys. Scripta 77 035001 (2008)
W C Qiang, J Y Wu and S H Dong Phys. Scripta 79 065011 (2009)
F Taskin and G Kocak Chin. Phys. B 19 090314 (2010)
H Hassanabadi and B H Yazarloo Indian J. Phys. doi: 10.1007/s12648-013-0317-1 (2013)
A R Vahidi, Z Azimzadeh and M Didgar Indian J. Phys. 87 447 (2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hassanabadi, H., Yazarloo, B.H., Ikot, A.N. et al. Exact analytical versus numerical solutions of Schrödinger equation for Hua plus modified Eckart potential. Indian J Phys 87, 1219–1223 (2013). https://doi.org/10.1007/s12648-013-0368-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-013-0368-3