1971•Physica ScriptaOpen access

Construction of Bound-state Solutions to the Schrödinger Equation with a Yukawa Potential by means of Integral Equations

Bengt Enflo

Abstract

Convergent expansions of the radial wave functions and energy eigenvalue conditions for a particle bound by a Yukawa-like potential are given for all angular momenta. They are constructed by utilizing the Schrödinger integral equation in momentum space and especially its information about the analytical structure of the Hankel transformed wave function.

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Key concepts: Yukawa potential, Bound state, Eigenvalues and eigenvectors, Physics, Schrödinger equation, Angular momentum, Integral equation, Wave function