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1997•Journal of Physics B Atomic Molecular and Optical PhysicsRequires access

Non-hydrogenic wavefunctions in momentum space

D. Hoang Binh, H. van Regemorter

Open publisher page 14 citations

Abstract

Quantum defect theory is applied to the calculation of non-hydrogenic radial wavefunctions in the momentum space representation, given in the form of Hankel transform integrals of the position space functions in the Coulomb approximation. It is shown that, even for low excited states, the momentum space functions for important values of the momentum are insensitive to the inner-core region of the atom. Analytical expressions are presented and illustrative examples are given for some Rydberg states in sodium, magnesium and caesium.

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What this paper is about

Quantum defect theory is applied to the calculation of non-hydrogenic radial wavefunctions in the momentum space representation, given in the form of Hankel transform integrals of the position space functions in the Coulomb approximation. It is shown that, even for low excited states, the momentum space functions for important values of the momentum are insensitive to the inner-core region of the atom. Analytical expressions are presented and illustrative examples are given for some Rydberg states in sodium, magnesium and caesium.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Quantum defect theory is applied to the calculation of non-hydrogenic radial wavefunctions in the momentum space representation, given in the form of Hankel transform integrals of the position space functions in the Coulomb approximation. It is shown that, even for low excited states, the momentum space functions for important values of the momentum are insensitive to the inner-core region of the atom. Analytical expressions are presented and illustrative examples are given for some Rydberg states in sodium, magnesium and caesium.

Key concepts: Wave function, Position and momentum space, Rydberg formula, Physics, Momentum (technical analysis), Hydrogen-like atom, Excited state, Space (punctuation)

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