Speaker: Abdulaziz Alhaidari (Saudi Center for Theoretical Physics, Jeddah, Saudi Arabia)
Title: Revisiting the Coulomb problem: A novel representation of the confluent hypergeometric function in terms of the Bessel function
Abstract: We use the tridiagonal representation approach to solve the radial Schrödinger equation for the continuum scattering states of the Coulomb problem. Consequently, we obtain a new representation of the confluent hypergeometric function as an infinite point-wise convergent series of Bessel functions. The series is numerically very stable and more rapidly convergent than another well-known formula.
Place: https://ucf.zoom.us/j/96789802247
Meeting ID: 967 8980 2247
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