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Synopsis
Excerpt from Asymptotic Wave Functions for Atomic Systems
Recently approximate ground state solutions to the nonrelativistic Schrodinger equation for many electron atoms have received considerable attention. Electron wave functions giving a reasonably correct description of the electron density throughout configuration space would facilitate calculation of weak interaction effects. Of late, there have been refinements in the experimental measurements of magnetic susceptibility, electric polarizability and quadrupole coupling of atoms. The utilization of more accurate wave functions would allow calculation of these effects to keep pace with experiment. More accurate atomic scattering factors could also be obtained. In addition, if accurate excited state wave functions were known, transition probabilities and optical absorption and inelastic scattering cross-sections could be calculated with much greater precision.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2020
- ISBN 10 1332102484
- ISBN 13 9781332102488
- BindingPaperback
- LanguageEnglish
- Number of pages72
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Asymptotic Wave Functions for Atomic Systems (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book presents a new technique for calculating wave functions for atoms and ions. The author expands the standard Schrodinger Equation for a general atomic system with N electrons into a set of first order partial differential equations which are solved recursively. Screening and correlation are exhibited explicitly in the resulting asymptotic atomic wave functions. The author demonstrates that the leading term of their asymptotic series represents the leading term in the asymptotic expansion of the exact solution and that the asymptotic expansion including only a few terms is a very good approximation to the exact solution over most of the domain when the expansion parameter is two or greater. The book applies their formalism to the ground state of 2-electron systems, showing that the asymptotic wave function obeys the virial theorem to first order, with magnetic susceptibilities obtained for helium and singly ionized lithium within 5% of the accepted values. Calculating expectation values, 1/2(S1 + S2) and S12, for various operators, their results are in excellent agreement with a variational calculation utilizing 1078 parameters. 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. print-on-demand item. Seller Inventory # 9781332102488_0
Quantity: Over 20 available
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Asymptotic Wave Functions for Atomic Systems Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332102488
Quantity: 15 available
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Asymptotic Wave Functions for Atomic Systems Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332102488
Quantity: 15 available