2011/05/11 by K. J. Oyewumi, Oyewumi, K. J., K. D. Sen +1
Chemistry · Mathematics · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #math-ph #math.MP #physics.chem-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.1105.2190
28 pages, 1 figure
arxiv created 2011/05/11 · openalex publication_date 2011/05/11 · arxiv updated 2011/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
For arbitrary values n and l quantum numbers, we present the solutions of the 3-dimensional Schrodinger wave equation with the pseudoharmonic potential via SU(1,1) Spectrum Generating Algebra (SGA) approach. The explicit bound state energies and eigenfunctions are obtained. The matrix elements r2 and r d/dr are obtained (in a closed form) directly from the creation and annihilation operators. In addition, the expectation values of r2 and p2 and the Heisenberg Uncertainty Products (HUP) for set of diatomic molecules (O2, I2, N2, H2, CO, NO, HCl, CH, LiH, ScH, TiH, VH, CrH, MnH, TiC, NiC, ScN, ScF, Ar2) for arbitrary values of n and l quantum numbers are obtained. The results obtained are in excellent agreement with the available results in the literature. It is also shown that the HUP is obeyed for all diatomic molecules considered.