The Application of Wave Functions Containing Interelectron Coordinates: I

Peter Walsh, Sidney Borowitz

ISBN 10: 1333300840 / ISBN 13: 9781333300845

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book presents a new approach to describing atomic systems by introducing interelectron coordinates explicitly. The simplest atomic systems are treated, and excellent results are found in calculating the energy values of the corresponding ground states. In addition, an approximation technique of high accuracy has been developed to handle, mathematically, wave functions containing interelectron coordinates. The new wave function proposed in this book describes the nuclear coordinates as particles filling the bound energy levels in pairs, while the interelectron coordinates are described as particles all piling into the lowest energy continuum state. This significantly improves upon existing methods, and demonstrates how interelectron effects can be taken into account to a very significant extent. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781333300845_0

Bibliographic Details

• Title: The Application of Wave Functions Containing Interelectron Coordinates: I
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1333300840
• ISBN 13: 9781333300845
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Quantum Mechanics

About this title

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.