Abstract
A hydrogenlike wave function is expanded in terms of a series of hydrogenlike wave functions referred to an arbitrary center in space. The expansion coefficient is given as a function of the distance between two centers. The coefficient for the radial part contains an integral of a spherical Bessel function with two Gegenbauer polynomials of different arguments. This integral is evaluated analytically to be a primitive polynomial multiplied by an exponential function of the distance. The coefficient for the angular part is represented in terms of the spherical harmonics.
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