Modified Morse Potential for Diatomic Molecules

1998 ◽  
Vol 191 (1) ◽  
pp. 137-141 ◽  
Author(s):  
A.R. Lee ◽  
T.M. Kalotas ◽  
N.A. Adams
Keyword(s):  
Morse Potential ◽  
Diatomic Molecules

Analytical solutions of fractional Schrödinger equation and thermal properties of Morse potential for some diatomic molecules

2021 ◽  
pp. 2150041
Author(s):  
U. S. Okorie ◽  
A. N. Ikot ◽  
G. J. Rampho ◽  
P. O. Amadi ◽  
Hewa Y. Abdullah
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Morse Potential ◽  
State Energy ◽  
Diatomic Molecules ◽  
Bound State ◽  
Bound State Energy ◽  
Fractional Schrödinger Equation ◽  
Energy Eigenvalues ◽  
Fractional Schrodinger Equation

By employing the concept of conformable fractional Nikiforov–Uvarov (NU) method, we solved the fractional Schrödinger equation with the Morse potential in one dimension. The analytical expressions of the bound state energy eigenvalues and eigenfunctions for the Morse potential were obtained. Numerical results for the energies of Morse potential for the selected diatomic molecules were computed for different fractional parameters chosen arbitrarily. Also, the graphical variation of the bound state energy eigenvalues of the Morse potential for hydrogen dimer with vibrational quantum number and the range of the potential were discussed, with regards to the selected fractional parameters. The vibrational partition function and other thermodynamic properties such as vibrational internal energy, vibrational free energy, vibrational entropy and vibrational specific heat capacity were evaluated in terms of temperature. Our results are new and have not been reported in any literature before.

Computation of the rotational transition probabilities of diatomic molecules with a morse potential

1978 ◽  
Vol 19 (3) ◽  
pp. 287-292 ◽  
Author(s):  
A. N. Vargin ◽  
N. A. Ganina ◽  
�. K. Kostyuchenko ◽  
V. K. Konyukhov ◽  
A. I. Lukovnikov ◽  
...  
Keyword(s):  
Morse Potential ◽  
Transition Probabilities ◽  
Diatomic Molecules ◽  
Rotational Transition
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