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Screened hydrogenic radial integrals.

G S Khandelwal1, W M Pritchard, G Grubb

  • 1Department of Physics, Old Dominion University, Norfolk, Virginia, USA.

Physical Review. A, General Physics
|April 15, 1989
PubMed
Summary
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This study presents new formulas for calculating screened hydrogenic radial integrals in atomic physics. These formulas simplify calculations for electron transitions, aiding in the analysis of atomic spectra.

Area of Science:

  • Atomic Physics
  • Quantum Mechanics
  • Spectroscopy

Background:

  • Screened hydrogenic models are essential for approximating atomic systems.
  • Calculating radial integrals is crucial for understanding atomic transitions and spectra.
  • Existing methods can be computationally intensive for complex transitions.

Purpose of the Study:

  • To develop simplified, closed-form expressions for screened hydrogenic radial integrals.
  • To facilitate the calculation of both discrete-discrete and discrete-continuum transitions.
  • To provide a method for handling large principal quantum numbers in calculations.

Main Methods:

  • Derivation of general formulas for screened hydrogenic radial integrals.
  • Inclusion of effective charge parameters for initial (Zi) and final (Zf) states.
Keywords:
NASA Discipline Number 04-10NASA Discipline Radiation HealthNASA Program Biomedical Research

Related Experiment Videos

  • Development of a series expansion method for specific radial integrals.

    • Main Results:

    • Closed-form expressions are obtained for specific atomic transitions.
    • The derived formulas are suitable for both discrete-discrete and discrete-continuum transitions.
    • A method is presented for calculating integrals with large final-state principal quantum numbers.

    Conclusions:

    • The new formulas offer a more efficient approach to calculating screened hydrogenic radial integrals.
    • This work simplifies the analysis of atomic spectra and related phenomena.
    • The developed methods are applicable to various atomic systems and transitions.