Certain Explicit Relationships between Phase Shift and Scattering Potential
Certain Explicit Relationships between Phase Shift and Scattering Potential is a scholarly work, published in 1953 in ''Physical Review''. The main subjects of the publication include scattering, physics, quantum electrodynamics, Variation (astronomy), bound state, ultracold atom, terahertz radiation, Non-Hermitian quantum mechanics, quantum mechanics, phase, and Schrödinger equation. An intuitive account is given of recent important results of Gelfand and Levitan for the determination of the potential in the one-dimensional Schr\"odinger equation from the $S$-phase shift, the bound states, and certain normalizing parameters.The method is then used to obtain the first variation in the potential corresponding to a small change in the phase shift, bound states, and normalizing parameters.