Calculation of Exact Eigenfunctions of Spin and Angular Momentum Using the Projection Operator Method: August 15, 1961 (Classic Reprint) - Hardcover
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.
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