Momentum eigenfunctions in the complex momentum plane. Local potential functions

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Abstract
Singular points for oneā€electron momentum functions in the complex momentum plane are located. The momentum functions are obtained from molecular orbitals which satisfy oneā€electron Schrƶdinger equations with local potential functions. If the molecular orbitals are expressed as linear combinations of atomic orbitals which satisfy Schrƶdinger equations with singleā€center local potential functions, then there are severe restrictions on the type of singleā€center potential functions which are acceptable. The problem of obtaining singleā€center potentials is discussed.