An application of hypervirial perturbation theory to calculate energy eigenvalues of the Morse potential for various diatomic molecules

Pramana ◽  
1994 ◽  
Vol 42 (4) ◽  
pp. 333-340
Author(s):  
M R M Witwit
Keyword(s):  
Perturbation Theory ◽  
Morse Potential ◽  
Diatomic Molecules ◽  
Energy Eigenvalues

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.

Effect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Asim Soylu ◽  
Orhan Bayrak ◽  
Ismail Boztosun
Keyword(s):  
Morse Potential ◽  
State Energy ◽  
Bound State ◽  
Quantum States ◽  
Bound State Energy ◽  
Energy Eigenvalues ◽  
Dependent Term ◽  
Oscillator Type ◽  
Dependent Potential ◽  
Pekeris Approximation

AbstractWe investigate the effect of the isotropic velocity-dependent potentials on the bound state energy eigenvalues of the Morse potential for any quantum states. When the velocity-dependent term is used as a constant parameter, ρ(r) = ρ 0, the energy eigenvalues can be obtained analytically by using the Pekeris approximation. When the velocity-dependent term is considered as an harmonic oscillator type, ρ(r) = ρ 0 r 2, we show how to obtain the energy eigenvalues of the Morse potential without any approximation for any n and ℓ quantum states by using numerical calculations. The calculations have been performed for different energy eigenvalues and different numerical values of ρ 0, in order to show the contribution of the velocity-dependent potential on the energy eigenvalues of the Morse potential.

Investigations in Many-Body Perturbation Theory of Hyperfine Structure in Diatomic Molecules

1973 ◽  
Vol 7 (1) ◽  
pp. 51-59 ◽  
Author(s):  
James E. Rodgers ◽  
Taesul Lee ◽  
T. P. Das ◽  
Dennis Ikenberry
Keyword(s):  
Perturbation Theory ◽  
Hyperfine Structure ◽  
Diatomic Molecules ◽  
Many Body ◽  
Many Body Perturbation Theory

Solution of the Dirac Equation for the Rectilinear Periodic Motion of an Electron

1969 ◽  
Vol 24 (3) ◽  
pp. 344-349
Author(s):  
A. D. Jannussis
Keyword(s):  
Perturbation Theory ◽  
Dirac Equation ◽  
Periodic Motion ◽  
Periodic Potential ◽  
Bragg Reflection ◽  
Wave Number ◽  
Periodic Functions ◽  
Energy Bands ◽  
Energy Eigenvalues ◽  
The Hill

AbstractIn this paper the Dirac equation for a rectilinear onedimensional periodic potential is treated. It is shown that the energy eigenvalues are periodic functions of the wave number Kϰ and the continuous spectrum is split into energy bands. The end points of the energy bands are the points where the Bragg reflection takes place. These results are obtained by perturbation theory, as well as by the method of determinants, since the resulting eigenvalue equation has the form of a determinant which is similar to the Hill determinant.

Exactly separable Bohr Hamiltonian with the Morse potential for triaxial nuclei

2014 ◽  
Vol 23 (10) ◽  
pp. 1450053 ◽  
Author(s):  
I. Inci
Keyword(s):  
Experimental Data ◽  
Closed Form ◽  
Morse Potential ◽  
Electric Quadrupole ◽  
Quadrupole Transition ◽  
Eigenvalues And Eigenfunctions ◽  
Energy Eigenvalues ◽  
Electric Quadrupole Transition ◽  
Energy Eigenvalues And Eigenfunctions

In this paper, the Morse potential is used in the β-part of the collective Bohr Hamiltonian for triaxial nuclei. Energy eigenvalues and eigenfunctions are obtained in a closed form through exactly separating the Hamiltonian into its variables by using an appropriate form of the potential. The results are applied to generate the nuclear spectrum of 192 Pt , 194 Pt and 196 Pt isotopes which are known to be the best candidate exhibiting triaxiality. Electric quadrupole transition ratios are calculated and then compared with the experimental data and the Z(5) model results.

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
Sign in / Sign up

Export Citation Format

Share Document