Deformed oscillator for the Morse potential

J. Récamier, M. Gorayeb, Wolf Luis Mochán +3 more

A Kadja, Farid Benamira, Larbi Guechi

J. Récamier, Wolf Luis Mochán, M. Gorayeb +2 more

We construct a deformed oscillator whose energy spectra is similar to that of a Morse potential. We obtain a convenient algebraic representation of the displacement and the momentum of a Morse oscillator by expanding them in terms of deformed creation and annihilation operators and we compute their average values between approximate coherent states of the deformed oscillator, and we compare them to the results obtained using the exact Morse coordinate and momenta. Finally we evaluate the temporal evolution of the dispersion (Δx)(Δp) and show that these states are not minimum uncertainty states.

E. V. Damaskinskii, P. P. Kulish

A.H. Nadhira, Nurisya Mohd Shah, Chan, K. T.

Morse oscillator is one of the known solvable potentials which attracts many applications in quantum mechanics especially in quantum chemistry. One of the interesting results of this study is the generation of ladder operators for Morse potential. The operators are a representation of the shifting energy levels of the states exhibited by the wavefunction. From this result, we manipulate and deform the operators in such a way that it gives a noncommutative property to promote noncommutative quantum mechanics (NCQM). The resultant NC feature can be shown in the spatial coordinates and finally the Hamiltonian. In this study, we consider two-dimensional Morse potential where the ladder operators are in the form of the corresponding 2D Morse.

P.Y. Cai, Akira Inomata, Raj Wilson