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Application of extended-Rydberg parameters in general Morse potential functions
Journal of Mathematical Chemistry, 2011The 3-parameter Rydberg and the 4-parameter general Morse functions have been adopted for describing bond-stretching in computation of molecular systems and many-body solid state systems. However the Extended-Rydberg function, such as the 5-parameter Murrell-Sorbie potential, has so far been confined to describing bond-stretching in very small ...
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International Journal of Quantum Chemistry, 2011
AbstractBy using a new improved approximation scheme to deal with the centrifugal term, we solve approximately the Schrödinger equation with the generalized Morse potentials for the arbitrary angular momentum values. The bound state energy spectra and the unnormalized radial wave functions have been approximately obtained by using the basic concept of ...
Lie‐Hui Zhang +2 more
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AbstractBy using a new improved approximation scheme to deal with the centrifugal term, we solve approximately the Schrödinger equation with the generalized Morse potentials for the arbitrary angular momentum values. The bound state energy spectra and the unnormalized radial wave functions have been approximately obtained by using the basic concept of ...
Lie‐Hui Zhang +2 more
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Physical Review B, 1992
Exciton reflection spectra of direct-band-gap semiconductors are investigated theoretically with the aid of an appropriate model for the surface potential. The dynamics of excitonic polaritons subject to a generalized Morse surface potential and the corresponding optical response are solved exactly for the s-polarization geometry.
, Pérez-Rodríguez, , Halevi
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Exciton reflection spectra of direct-band-gap semiconductors are investigated theoretically with the aid of an appropriate model for the surface potential. The dynamics of excitonic polaritons subject to a generalized Morse surface potential and the corresponding optical response are solved exactly for the s-polarization geometry.
, Pérez-Rodríguez, , Halevi
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A generalized Morse asymmetric potential and multiplets of its non-numerical exact bound states
Journal of Physics A: Mathematical and General, 1994Summary: The solvable Morse model with its asymmetric phenomenological potential \(V(r) = A\{1 - \exp [- \mu (r - r_\alpha)]\}^2\) is generalized: via a computer-assisted algebraic construction, we show that for certain three-component phenomenological potentials \(V(r) = A \{1 - \exp [- \mu (r - r_\alpha)]\}^2 + B\{1 - \exp [- \mu (r - r_\beta)]\}^3 +
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Generalized potentials: Free particle, harmonic, and Morse partner potentials
International Journal of Quantum Chemistry, 1999J. Morales +3 more
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Applications of the Generalized Morse Wavelets: A Review
IEEE Access, 2023Rogelio Bustamante-Bello +2 more
exaly
$ L^\infty $-estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization
Discrete and Continuous Dynamical Systems, 2021Aihua Fan, Jörg Schmeling
exaly
The Hausdorff Dimension of the Spectrum of a Class of Generalized Thue-Morse Hamiltonians
Acta Mathematica Scientia, 2023Qinghui Liu
exaly