Proceedings of the International Conference on Geometry, Integrability and Quantization

Algebraic Approach to the Morse Oscillators

Abstract

In this paper we obtain the ladder operators for the $1D$ and $3D$ Morse potential. Then we show that these operators satisfy SU(2) commutation relation. Finally we obtain the Hamiltonian in terms of the $\frak{su}(2)$ algebra.

Article information

Dates
First available in Project Euclid: 13 July 2015

https://projecteuclid.org/ euclid.pgiq/1436815714

Digital Object Identifier
doi:10.7546/giq-15-2014-242-248

Mathematical Reviews number (MathSciNet)
MR3287761

Zentralblatt MATH identifier
1316.35101

Citation

Setare, Mohammad R. Algebraic Approach to the Morse Oscillators. Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization, 242--248, Avangard Prima, Sofia, Bulgaria, 2014. doi:10.7546/giq-15-2014-242-248. https://projecteuclid.org/euclid.pgiq/1436815714