Exact spectral and scattering solutions of the 1D Schrödinger equation in the Jacobi–Dunkl framework
We investigate the one-dimensional nonrelativistic Schrödinger equation within the Jacobi–Dunkl framework. Although the Jacobi–Dunkl operator is well established in harmonic analysis and special-function theory, its systematic use in quantum-mechanical spectral and scattering problems remains comparatively limited. In...