A Variational Calculation of the Scattering Cross Section for Nearly Zero Energy Electrons by Hydrogen Atoms (Classic Reprint) - Hardcover

Howard Greenberg

9780332955995: A Variational Calculation of the Scattering Cross Section for Nearly Zero Energy Electrons by Hydrogen Atoms (Classic Reprint)

Hardcover

ISBN 10: 0332955990 ISBN 13: 9780332955995

Publisher: Forgotten Books, 2017

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A rigorous look at predicting electron scattering at near-zero energy

This book presents a focused theoretical study of how low-energy electrons scatter off hydrogen atoms. Using variational techniques, it advances methods to estimate cross sections when experiments are difficult or unavailable.

The work builds a three-body scattering framework and extends established variational ideas to capture subtle polarization and exchange effects. It aims to deliver accurate cross sections at zero and near-zero incident energies, with clear pathways to compare with prior extrapolations.

How the variational principle is applied to three-body collisions and what it implies for phase shifts
Ways to extract singlet and triplet scattering lengths and their impact on cross sections
Extensions of effective range theory to the three-body case and implications for low-energy behavior
Discussion of sensitivity to key parameters and how small changes influence results

Ideal for readers of advanced quantum mechanics and atomic physics, this edition suits researchers, graduate students, and instructors seeking a rigorous treatment of near-threshold electron scattering.

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