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## Full-Text Articles in Physics

Erratum: Eigenvalues And Retardation Effects In The N = 10 States Of Helium (Journal Of Physics B: Atomic, Molecular And Optical Physics (1989) 22 (L651-L657)), Gordon W. F. Drake

#### Erratum: Eigenvalues And Retardation Effects In The N = 10 States Of Helium (Journal Of Physics B: Atomic, Molecular And Optical Physics (1989) 22 (L651-L657)), Gordon W. F. Drake

*Physics Publications*

No abstract provided.

An Alternative Proof Of Some Relations Between Hydrogenic Matrix Elements, R. A. Swainson, Gordon W. F. Drake

#### An Alternative Proof Of Some Relations Between Hydrogenic Matrix Elements, R. A. Swainson, Gordon W. F. Drake

*Physics Publications*

A relationship between certain integrals of the product of two Laguerre polynomials is obtained. It is shown how this relationship, together with two known Hankel transforms, allows for an alternative derivation of some relations between matrix elements of r k for hydrogenic ions. A further relation, involving matrix elements of logarithmic functions, is obtained in a similar manner. © 1990 IOP Publishing Ltd.

Expectation Values Of Rp For Arbitrary Hydrogenic States, Gordon W. F. Drake, R. A. Swainson

#### Expectation Values Of Rp For Arbitrary Hydrogenic States, Gordon W. F. Drake, R. A. Swainson

*Physics Publications*

Expectation values of rP for an arbitrary nl hydrogenic state are expressed in terms of state-independent coefficients that are determined by a simple recursion relation. Explicit results are given for negative P down to -16 and, by an algebraic transformation, for positive P up to 13. Closed-form expressions are obtained for the coefficients of the two highest-order terms in l multiplying each power of n. The result is an asymptotic expression valid for each P and sufficiently large l. © 1990 The American Physical Society.

Bethe Logarithms For Hydrogen Up To N=20, And Approximations For Two-Electron Atoms, Gordon W. F. Drake, R. A. Swainson

#### Bethe Logarithms For Hydrogen Up To N=20, And Approximations For Two-Electron Atoms, Gordon W. F. Drake, R. A. Swainson

*Physics Publications*

Bethe logarithms accurate to 14 or 15 places to the right of the decimal are tabulated for all states of hydrogen up to n=20. Approximation methods for Rydberg states of two-electron atoms are discussed. © 1990 The American Physical Society.