%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 }