Calculation of Exact Eigenfunctions of Spin and Angular Momentum Using the

Aubey Rotenberg

ISBN 10: 1332108466 / ISBN 13: 9781332108466

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book delves into the fascinating world of atomic structure, exploring a powerful mathematical technique for unraveling the secrets of how electrons behave within atoms. The author, a pioneer in the field of computational physics, introduces the projection operator method, a groundbreaking approach that enables the calculation of wave functions for electrons in atoms. This technique, developed by the author and refined through the use of large-scale computers, goes beyond earlier methods, allowing for the precise determination of both spin and orbital angular momentum of electrons, even when they occupy multiple shells. The book meticulously outlines the computational procedures involved in applying this method, explaining how the projection operator works to isolate specific components of a wave function. The author provides concrete examples, demonstrating how the technique is used to calculate wave functions for electrons in various shells and configurations, such as p, d, f, and g shells. This book offers a unique perspective on the fundamental building blocks of matter, providing valuable insights for anyone interested in the theoretical underpinnings of atomic physics. The authorââ â ¢s work demonstrates the immense power of computational methods in unlocking the complexities of the atomic world. 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 # 9781332108466_0

Bibliographic Details

• Title: Calculation of Exact Eigenfunctions of Spin and Angular Momentum Using the
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1332108466
• ISBN 13: 9781332108466
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Quantum Mechanics

About this title

Synopsis

Explore how to compute exact eigenfunctions of spin and angular momentum with projection operators.

This book explains the projection operator method and shows how it can yield spin and orbital angular momentum eigenfunctions, even when electrons occupy multiple shells.

This edition describes the computation steps, the use of a large-scale computer, and practical considerations like avoiding overflow and ensuring linear independence. It also discusses how the method relates to Russell–Saunders coupling and how results can be organized in tables for reference.

• How projection operators isolate specific angular momentum components from a many-electron wave function.
• How to build and manipulate basic pattern sets that represent Slater determinants and their spin configurations.
• The computational workflow, including matrix construction, orthogonalization, and handling numerical issues.
• Examples and results that illustrate the method’s breadth across different electron shells.

Ideal for readers seeking a practical look at exact eigenfunction calculations in atomic structure using projection operator techniques.