The Interaction of a Charged Particle in the Generalized Woods-Saxon Potential

Abstract

An analytical solution of any given potential model presenting particle interaction is hot topic in physics. There are few potential models that can be analytically solved in literature. The analytically solvable potential models are the infinite and the finite well, the harmonic oscillator, the Coulomb and the Kratzer potential for any angular momentum quantum number. In this study, we examine the interaction of charged particle in the generalized Woods-Saxon Potential with an approximation to the effective potential by using the Hypergeometric function with physical boundary conditions and continuity requirement of the wave function. We obtain the bound state energy eigenvalues and corresponding wavefunction in closed form and discuss the effect of the potential parameters on the energy eigenvalues and corresponding eigenfunctions. 

Keywords

• Analytical solutions,Generalized Woods-Saxon potential,Charged particles

References

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