Non-relativistic Energy Spectrum of the Deng-Fan Oscillator via the WKB Approximation Method
E. Omugbe
Abstract
The energy spectrum of the radial Schrodinger equation with the molecular Deng Fan potential has been obtained through the WKB approximation scheme. The radial WKB solution yields a transcendental or an implicit equation. The energy eigenvalues for non-physical and real molecular interacting systems are presented. In comparison with the numerical eigenvalues obtained with MATHEMATICA 3.0 package, the WKB approximation method produces improved results over the results obtained with other analytical methods in the literature.
Topics & Concepts
WKB approximationEigenvalues and eigenvectorsTranscendental equationSpectrum (functional analysis)Schrödinger equationEnergy spectrumTranscendental numberScheme (mathematics)Energy (signal processing)PhysicsNumerical analysisMathematicsQuantum mechanicsMathematical analysisQuantum Mechanics and Non-Hermitian PhysicsParticle accelerators and beam dynamicsAtomic and Molecular Physics