HYPERGEOMETRIC FUNCTION REPRESENTATION OF RELATIVISTIC TRANSITION MATRIX ELEMENTS FOR HYDROGENIC ATOMS

DOI10.1142/S0217984909017881zbMath1169.81023MaRDI QIDQ3631115

No author found.

Publication date: 5 June 2009

Published in: Modern Physics Letters B (Search for Journal in Brave)

zbMATH Keywords

Fourier transformhypergeometric functionhydrogenic atomLamb shiftDirac relativistic wave functionsrelativistic eigenfunctionstransition matrix element

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Atomic physics (81V45) Electromagnetic fields in general relativity and gravitational theory (83C50) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (1)

Relativistic decay rates of one-electron atoms

Cites Work

• Drastic violation of the \(U\)-matrix boundary condition by quantum-field theoretical on-shell renormalization and a new consistent renormalization concept involving bound-state problems
• EVALUATION OF RELATIVISTIC TRANSITION MATRIX ELEMENTS OF HYDROGENIC ATOMS USING PLANE WAVE EXPANSION
• ON THE FOURIER TRANSFORMS OF THE SPINOR COMPONENTS OF HYDROGEN-LIKE ATOM RELATIVISTIC EIGENFUNCTIONS
• Relativistic Wave Functions in the Continuous Spectrum for the Coulomb Field
• A Note on the Wave Functions of the Relativistic Hydrogenic Atom

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