The Application of Wave Functions Containing Interelectron Coordinates: I. The Ground State Energy of Lithium (Classic Reprint) - Hardcover

Peter Walsh

Hardcover

ISBN 10: 0267879032 ISBN 13: 9780267879038

Publisher: Forgotten Books, 2022

Synopsis

A new approach to atomic energies using interelectron coordinates

This book explains how scattering wave functions, or SWFs, can be used to include interelectronic effects directly in atomic calculations. It shows how a partial separation of variables makes these complex problems more tractable, even for atoms heavier than helium.

In clear, step-by-step terms, the work adapts Pluvinage’s method to apply SWFs to lithium. It covers simplifying assumptions, numerical techniques, and an accurate approximation method for integrating multiple interelectron coordinates. The text also compares results with helium-like systems to illustrate the method’s accuracy and advantages.

• Learn how SWFs differ from the traditional product of bound hydrogenic functions and why they often yield more accurate energies.
• Discover how continuum and bound components are combined and how singularities in the potentials are treated.
• See how the method is extended from helium-like systems to more complex atomic cases, including lithium.
• Understand the practical integration strategies and the role of Hylleraas variables in simplifying calculations.

Ideal for readers of advanced quantum mechanics and atomic theory, this edition clarifies a practical path to applying interelectron coordinates in real atomic systems and discusses the strengths and limitations of the approach.

Edition details

• Publisher: Forgotten Books
• Publication date: 2022
• Language: English
• ISBN 10: 0267879032
• ISBN 13: 9780267879038
• Binding: Hardcover
• Number of pages: 73