scholarly journals Spectral manipulation of the trigonometric Rosen-Morse potential through supersymmetry

2021 ◽  
Author(s):  
David J Fernandez ◽  
Rosa María Reyes
Keyword(s):  
Morse Potential

Spin and pseudospin symmetries of the Dirac equation for the generalised Morse potential and a class of Yukawa potential

Pramana ◽  
2021 ◽  
Vol 95 (3) ◽  
Author(s):  
Obu J Abebe ◽  
Okoi P Obeten ◽  
Uduakobong S Okorie ◽  
Akpan N Ikot
Keyword(s):  
Dirac Equation ◽  
Morse Potential ◽  
Yukawa Potential

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.

Relations between Varshni and Morse potential energy parameters

Open Physics ◽  
2009 ◽  
Vol 7 (1) ◽  
Author(s):  
Teik-Cheng Lim ◽  
Rajendra Udyavara
Keyword(s):  
Potential Energy ◽  
Force Constant ◽  
Morse Potential ◽  
Morse Function ◽  
Energy Integral ◽  
Equal Energy ◽  
Molecular Force ◽  
Parameter Conversion ◽  
Bond Stretching ◽  
Small Change

AbstractA set of relationships between the Morse and Varshni potential functions for describing covalent bondstretching energy has been developed by imposing equal force constant and equal energy integral. In view of the extensive adoption of Morse function in molecular force fields, this paper suggests two sets of parameter conversions from Varshni to Morse. The parameter conversion based on equal force constant is applicable for small change in bond length, while the parameter conversion based on equal energy integral is more applicable for significant bond-stretching. Plotted results reveal that the Varshni potential function is more suitable for describing hard bonds rather than soft bonds.

Rotational excitations of diatomic molecule with delta potential barrier

2018 ◽  
Vol 17 (04) ◽  
pp. 1850022
Author(s):  
Sonia Lumb ◽  
Shalini Lumb ◽  
Vinod Prasad
Keyword(s):  
Diatomic Molecule ◽  
Applied Field ◽  
Morse Potential ◽  
Short Range ◽  
Delta Function ◽  
Energy Spectra ◽  
Matrix Elements ◽  
Delta Potential ◽  
Homonuclear Diatomic Molecule ◽  
Delta Functions

The interatomic interactions in a diatomic molecule can be fairly modeled by the Morse potential. Short range interactions of the molecule with the neighboring environment can be analyzed by modifying this potential by delta functions. Energy spectra and radial matrix elements have been calculated using an accurate nine-point finite-difference method for such an interacting homonuclear diatomic molecule. The effect of the strength and position of a single delta function interaction on the alignment of this molecule has been studied. The dependence of alignment on the strength of applied field has also been analyzed.

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