Results 11 to 20 of about 2,784 (203)
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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Generalized Morse potential: Symmetry and satellite potentials [PDF]
Journal of Physics A: Mathematical and General, 1998 We study in detail the bound state spectrum of the generalized Morse potential~(GMP), which was proposed by Deng and Fan as a potential function for diatomic molecules. By connecting the corresponding Schrödinger equation with the Laplace equation on the hyperboloid and the Schrödinger equation for the Pöschl-Teller potential, we explain the exact ...
Del Sol Mesa, Antonio +2 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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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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The Quantum Geometric Tensor in a Parameter-Dependent Curved Space
Entropy, 2022 We introduce a quantum geometric tensor in a curved space with a parameter-dependent metric, which contains the quantum metric tensor as the symmetric part and the Berry curvature corresponding to the antisymmetric part.
Joan A. Austrich-Olivares +1 more
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Generalized Morse and Pöschl–Teller potentials: The connection via Schrödinger equation [PDF]
Annals of Physics, 2007 We present here a systematic and unified treatment to connect the Schrodinger equation corresponding to generalized Morse and Poschl-Teller potentials. We then show that the wave functions and generalized potentials are linked through the Fourier and Hankel transforms, respectively.
Yahiaoui, S.-A. +2 more
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Entropy, 2021 In this study, the impacts of TD on the energy spectra and thermal properties of LiH, TiC and I2 diatomic molecules is considered. The Schrodinger equation in cosmic string spacetime is solved with the generalized Morse potential using the well-known (NU)
Peter Nwabuzor +7 more
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Sensors, 2022 This paper presents a field implementation of the structural health monitoring (SHM) of fatigue cracks for steel bridge structures. Steel bridges experience fatigue cracks under repetitive traffic loading, which pose great threats to their structural ...
Sdiq Anwar Taher +7 more
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Scientific Reports, 2023 In the context of the generalized fractional derivative, novel solutions to the D-dimensional Schrödinger equation are investigated via the improved Rosen-Morse potential (IRMP).
M. Abu-Shady, E. M. Khokha
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Results in Chemistry, 2022 One of the generalized vibrational potentials is the improved Rosen Morse potential (IRMP), which is used in vibrational interactions studies, especially, for the study of the vibrations of the diatomic systems or dimers.
Marwan Al-Raeei
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