Results 11 to 20 of about 2,927 (214)
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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The Klein-Gordon Equation With A Generalized Morse Potential In D-Dimensions
The European Physical Journal Plus, 2021 An approximate analytic solution of the Klein-Gordon equation with equal vector and scalar Morse potential for the arbitrary angular momentum values is presented. The corresponding energy eigenvalues and eigenfunctions in D-dimensions are obtained explicitly within the framework of an approximation to the centrifugal potential for any l-states by means
Brzo, Aram Bahroz +2 more
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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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Bound State Solutions of Schrödinger Equation for Generalized Morse Potential with Position-Dependent Mass [PDF]
Communications in Theoretical Physics, 2011 The effective mass one-dimensional Schrödinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are also reduced to the case of constant mass. Energy eigenvalues are computed numerically for some diatomic molecules.
Arda, Altug, Sever, Ramazan
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Effective-mass Klein–Gordon equation for non-PT/non-Hermitian generalized Morse potential [PDF]
Physica Scripta, 2010 The one-dimensional effective-mass Klein-Gordon equation for the real, and non-\textrm{PT}-symmetric/non-Hermitian generalized Morse potential is solved by taking a series expansion for the wave function. The energy eigenvalues, and the corresponding eigenfunctions are obtained. They are also calculated for the constant mass case.
Arda, Altug, Sever, Ramazan
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From the generalized Morse potential to a unified treatment of the D-dimensional singular harmonic oscillator and singular Coulomb potentials [PDF]
Journal of Mathematical Chemistry, 2016 Bound-state solutions of the singular harmonic oscillator and singular Coulomb potentials in arbitrary dimensions are generated in a simple way from the solutions of the one-dimensional generalized Morse potential. The nonsingular harmonic oscillator and nonsingular Coulomb potentials in arbitrary dimensions with their additional accidental ...
Nogueira, Pedro H. F. +1 more
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Vibrational levels of a generalized Morse potential
The Journal of Chemical Physics, 2022 A Generalized Morse Potential (GMP) is an extension of the Morse Potential (MP) with an additional exponential term and an additional parameter that compensate for MP’s erroneous behavior in the long range part of the interaction potential. Because of the additional term and parameter, the vibrational levels of the GMP cannot be solved analytically ...
Saad Qadeer +3 more
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Obtaining the Varshni potential function using the 2-body Kaxiras-Pandey parameters [PDF]
Journal of the Serbian Chemical Society, 2009 A generalized version of the Varshni potential function was adopted by Kaxiras and Pandey for describing the 2-body energy portion of multi-body condensed matter.
Lim Teik-Cheng
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Morse potential in noncommutative quantum mechanics framework [PDF]
, 2020 Morse potential is one of the well-known exact solvable potentials which attracts many applications in quantum mechanics especially in quantum chemistry.
Mohd Shah, Nurisya +2 more
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Open Physics, 2023 The problem of optimization of interatomic potentials is formulated and solved by means of generalization of the Morse, Kaxiras–Pandey, and Rydberg potentials. The interatomic potentials are treated as solutions of some second-order ordinary differential
Surulere Samuel +2 more
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