A Hartree Self Consistent Method for the Scattering of Positrons by Hydrogen Atoms (Classic Reprint) - Hardcover

Richard S. Ruffine

Hardcover

ISBN 10: 0365353922 ISBN 13: 9780365353928

Publisher: Forgotten Books, 2018

Synopsis

Explore a self‑consistent approach to positron scattering by hydrogen that blends Hartree theory with correlation effects.

This work presents a method that advances beyond static and perturbative models, focusing on how the scattered particle and the target atom influence each other to form a coherent, physically meaningful description of the collision.

Readers will follow how the author builds a wave function that satisfies the proper boundary conditions, derives an effective one-particle Hamiltonian, and uses variational principles to account for induced multipole interactions. The discussion includes connections to the adiabatic approximation and practical numerical techniques for solving the resulting equations.

• See how self‑consistency and correlations are incorporated into the scattering framework.
• Learn how dipole polarization and induced potentials shape the interaction at low energies.
• Understand the role of the Kohn variational principle and how it yields tractable differential equations.
• Review numerical results for s‑wave scattering and how they compare with static models and prior theories.

Ideal for readers seeking a rigorous, methodical treatment of quantum scattering in atomic systems.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0365353922
• ISBN 13: 9780365353928
• Binding: Hardcover
• Number of pages: 74