Exact Analytical Solution of the N-Dimensional Radial Schrödinger Equation with Pseudoharmonic Potential via Laplace Transform Approach [PDF]
Advances in High Energy Physics, 2015 The second-order N-dimensional Schrödinger equation with pseudoharmonic potential is reduced to a first-order differential equation by using the Laplace transform approach and exact bound state solutions are obtained using convolution theorem.
Tapas Das, Altuğ Arda
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Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is related to the existence of closed trajectories.
Véronique Hussin, Ian Marquette
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A New Generalized Morse Potential Function for Calculating Cohesive Energy of Nanoparticles
Energies, 2020 A new generalized Morse potential function with an additional parameter m is proposed to calculate the cohesive energy of nanoparticles. The calculations showed that a generalized Morse potential function using different values for the m and α parameters
Omar M. Aldossary, Anwar Al Rsheed
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On mini-superspace limit of boundary three-point function in Liouville field theory
Journal of High Energy Physics, 2017 We study the mini-superspace semiclassical limit of the boundary three-point function in the Liouville field theory. We compute also matrix elements for the Morse potential quantum mechanics. An exact agreement between the former and the latter is found.
Elena Apresyan, Gor Sarkissian
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Improved modelling for vibrational energies of diatomic molecules using the generalized fractional derivative [PDF]
Scientific ReportsBy using the radial Schrödinger equation with the Morse potential in the context of the generalized fractional derivative (GFD), this work provides an important improvement in modelling the vibrational energy spectrum of diatomic molecules.
E. M. Khokha +3 more
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Performance analysis of Thue Morse acoustic resonators for noise reduction [PDF]
Scientific ReportsThis article explores acoustic band gap in the Thue-Morse phononic crystal structures for application in acoustic filtering. By using the unique nature of Thue-Morse sequences, we systematically analyze transmission spectra over many generations of ...
Zaky A. Zaky +4 more
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Investigation of DNA denaturation from generalized Morse potential
Materials and Devices, 2018 In this paper, we present a non-linear model for DNA denaturation. We assume that the double-strands DNA interact via a realistic generalized Morse potential that reproduces well the features of the real interaction, as well as the used DNA model and ...
R. El Kinani, H. Kaidi, M. Benhamou
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The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications
East European Journal of Physics, 2023 By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential equation is exactly solved in the fractional form. The obtained results are
M. Abu-Shady, H.M. Fath-Allah
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Acta Polytechnica, 2022 The paper advances Odake and Sasaki’s idea to re-write eigenfunctions of rationally deformed Morse potentials in terms of Wronskians of Laguerre polynomials in the reciprocal argument. It is shown that the constructed quasi-rational seed solutions of the
Gregory Natanson
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Eigensolutions and Thermodynamic Properties of Kratzer Plus Generalized Morse Potential
Frontiers in Physics, 2022 In this study, we apply the parametric Nikiforov-Uvarov method to obtain the bound state solution of Schrödinger wave equation in the presence of Kratzer plus generalized Morse potential (KPGM).
Cecilia N. Isonguyo +9 more
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