• Corpus ID: 94299747

# Spectroscopic Studies of Some Diatomic Molecules using Spectrum Generating Algebra Approach

@article{Oyewumi2011SpectroscopicSO,
title={Spectroscopic Studies of Some Diatomic Molecules using Spectrum Generating Algebra Approach},
author={K. J. Oyewumi and K. D. Sen},
journal={arXiv: Chemical Physics},
year={2011}
}
• Published 11 May 2011
• Physics
• arXiv: Chemical Physics
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…

## References

SHOWING 1-10 OF 23 REFERENCES

### On solutions of the Schrödinger equation for some molecular potentials: wave function ansatz

• Mathematics, Physics
• 2008
Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrödinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained.

### Theory of Group Representations and Applications

A O Barut and R Raczka Warsaw: Polish Scientific Publishers 1977 pp xix + 717 This book deserves to become the standard work on group representations for theoretical physicists interested in

### Classical Orthogonal Polynomials of a Discrete Variable

• Mathematics
• 1991
The basic properties of the polynomials p n (x) that satisfy the orthogonality relations $$\int_a^b {{p_n}(x)} {p_m}(x)\rho (x)dx = 0\quad (m \ne n)$$ (2.0.1) hold also for the polynomials