Accurate low and high-lying bound states of Tietz–Hua oscillator potential are presented. The radial Schrödinger equation is solved efficiently by means of the generalized pseudospectral method that enables optimal spatial discreti zation. Both ℓ=0 and rotational states are considered. Ro-vibrational levels of six diatomic molecules viz., H 2 , HF, N 2 , NO, O 2 , O +2 are obtained with good accuracy. Most of the states are reported here for the first time. A detailed analysis of variation of eigenvalues with n,ℓ quantum numbers is made. Results are compared with literature data, wherever possible. These are also briefly contrasted with the Morse potential results.
%0 Journal Article
%1 roy2014rovibrational
%A Roy, Amlan K.
%D 2014
%I Springer International Publishing
%J Journal of Mathematical Chemistry
%K equation mechanics physics quantum schrodinger solution unread
%N 5
%P 1405-1413
%R 10.1007/s10910-014-0319-z
%T Ro-vibrational spectroscopy of molecules represented by a Tietz–Hua oscillator potential
%U http://dx.doi.org/10.1007/s10910-014-0319-z
%V 52
%X Accurate low and high-lying bound states of Tietz–Hua oscillator potential are presented. The radial Schrödinger equation is solved efficiently by means of the generalized pseudospectral method that enables optimal spatial discreti zation. Both ℓ=0 and rotational states are considered. Ro-vibrational levels of six diatomic molecules viz., H 2 , HF, N 2 , NO, O 2 , O +2 are obtained with good accuracy. Most of the states are reported here for the first time. A detailed analysis of variation of eigenvalues with n,ℓ quantum numbers is made. Results are compared with literature data, wherever possible. These are also briefly contrasted with the Morse potential results.
@article{roy2014rovibrational,
abstract = {Accurate low and high-lying bound states of Tietz–Hua oscillator potential are presented. The radial Schrödinger equation is solved efficiently by means of the generalized pseudospectral method that enables optimal spatial discreti zation. Both ℓ=0 and rotational states are considered. Ro-vibrational levels of six diatomic molecules viz., H 2 , HF, N 2 , NO, O 2 , O +2 are obtained with good accuracy. Most of the states are reported here for the first time. A detailed analysis of variation of eigenvalues with n,ℓ quantum numbers is made. Results are compared with literature data, wherever possible. These are also briefly contrasted with the Morse potential results.},
added-at = {2014-04-03T22:53:29.000+0200},
author = {Roy, Amlan K.},
biburl = {https://www.bibsonomy.org/bibtex/2853a60cfb2bb9facefb859b27aed3801/drmatusek},
doi = {10.1007/s10910-014-0319-z},
interhash = {42b417c397eb11a80a9477ed6b7164a9},
intrahash = {853a60cfb2bb9facefb859b27aed3801},
issn = {0259-9791},
journal = {Journal of Mathematical Chemistry},
keywords = {equation mechanics physics quantum schrodinger solution unread},
language = {English},
month = may,
number = 5,
pages = {1405-1413},
publisher = {Springer International Publishing},
timestamp = {2014-04-03T22:53:29.000+0200},
title = {Ro-vibrational spectroscopy of molecules represented by a Tietz–Hua oscillator potential},
url = {http://dx.doi.org/10.1007/s10910-014-0319-z},
volume = 52,
year = 2014
}