%0 Journal Article %1 QUA:QUA23096 %A Zhang, Min-Cang %A Huang-Fu, Guo-Qing %D 2012 %I Wiley Subscription Services, Inc., A Wiley Company %J International Journal of Quantum Chemistry %K basis equation mechanics physics quantum schrodinger solution tridiagonal %N 4 %P 1036--1040 %R 10.1002/qua.23096 %T Analytical arbitrary ℓ-wave solutions of the Manning–Rosen potential in the tridiagonalization program %U http://dx.doi.org/10.1002/qua.23096 %V 112 %X By working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator, the arbitrary ℓ-wave solutions of the Schrödinger equation for the Manning–Rosen potential is investigated with an approximation of centrifugal term. The resulting three-term recursion relation for the expansion coefficients of the wavefunction is presented. The bound-state wavefunctions are expressed in terms of the Jocobi polynomial, and the discrete spectrum of the bound states is obtained by diagonalization of the recursion relation. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012

@article{QUA:QUA23096, abstract = {By working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator, the arbitrary ℓ-wave solutions of the Schrödinger equation for the Manning–Rosen potential is investigated with an approximation of centrifugal term. The resulting three-term recursion relation for the expansion coefficients of the wavefunction is presented. The bound-state wavefunctions are expressed in terms of the Jocobi polynomial, and the discrete spectrum of the bound states is obtained by diagonalization of the recursion relation. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012}, added-at = {2012-02-17T19:20:20.000+0100}, author = {Zhang, Min-Cang and Huang-Fu, Guo-Qing}, biburl = {https://www.bibsonomy.org/bibtex/2b09feeed6a6def8462f853debe26ed1a/drmatusek}, description = {Analytical arbitrary ℓ-wave solutions of the manning–rosen potential in the tridiagonalization program - Zhang - 2011 - International Journal of Quantum Chemistry - Wiley Online Library}, doi = {10.1002/qua.23096}, interhash = {1d568766af020864267a4c3a5738599a}, intrahash = {b09feeed6a6def8462f853debe26ed1a}, issn = {1097-461X}, journal = {International Journal of Quantum Chemistry}, keywords = {basis equation mechanics physics quantum schrodinger solution tridiagonal}, month = {February}, number = 4, pages = {1036--1040}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, timestamp = {2012-10-14T16:52:42.000+0200}, title = {Analytical arbitrary ℓ-wave solutions of the Manning–Rosen potential in the tridiagonalization program}, url = {http://dx.doi.org/10.1002/qua.23096}, volume = 112, year = 2012 }