Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules

DOI10.1007/s10910-012-0075-xzbMath1269.81224arXiv1207.0687OpenAlexW3101332604MaRDI QIDQ1936982

Majid Hamzavi, Karl-Erik Thylwe, Sameer M. Ikhdair

Publication date: 11 February 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0687

zbMATH Keywords

Schrödinger equationapproximation schemesdiatomic moleculesNikiforov-Uvarov methodshifted Deng-Fan oscillator potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Molecular physics (81V55)

Related Items (13)

Nonrelativistic molecular models under external magnetic and AB flux fields ⋮ Exact solution of the Schrödinger equation with a Lennard-Jones potential ⋮ Thermal properties of Deng-Fan-Eckart potential model using Poisson summation approach ⋮ Calculation of the interaction potential energy curve and vibrational levels for the \(a^3\Sigma_u^+\) state of \({}^7Li_2\) molecule ⋮ Ro-vibrational energies of the shifted Deng-Fan oscillator potential with Feynman path integral formalism ⋮ Reflection and Transmission Coefficients of the Symmetric Barrier-Type Shifted Deng–Fan Potential ⋮ Generalised tanh-shaped hyperbolic potential: Klein–Gordon equation's bound state solution ⋮ Topological defects with generalized Hulthen–Coulomb-inverse quadratic Yukawa potential on eigenvalue solution under Aharonov–Bohm flux field ⋮ Nonlinear optical properties in \(GaAs/GA_{0.7}Al_{0.3}As\) spherical quantum dots with Like-Deng-Fan-Eckart potential ⋮ The Laguerre pseudospectral method for the radial Schrödinger equation ⋮ Heavy-particle resonance phase shifts: an improved amplitude-phase formula ⋮ Spectroscopic study of some diatomic molecules via the proper quantization rule ⋮ Relativistic energies for diatomic molecule nucleus motions with the spin symmetry

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