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The Application of Wave Functions Containing Interelectron Coordinates: II. The Ground State Energy of Atoms (Classic Reprint) - Softcover
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Excerpt from The Application of Wave Functions Containing Interelectron Coordinates: II. The Ground State Energy of Atoms
In Sec. 2 of this paper, the general form of the hamiltonian is pre sented and discussed when the interelectron coordinates are introduced in addition to the radial and angular coordinates generally used. In Sec. 3, the separation of the hamiltonian into a perturbed and an unperturbed part is presented. The boundary conditions to be used on the radial and inter electron parts of the wave function are given in Secs. 4 and 5. The solu tion of the unperturbed wave equation under the boundary conditions imposed is easily carried out and the zero-order energy is obtained immediately.
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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 date2024
- ISBN 10 1333516134
- ISBN 13 9781333516130
- BindingPaperback
- LanguageEnglish
- Number of pages53
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The Application of Wave Functions Containing Interelectron Coordinates: II
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Paperback. Condition: New. Print on Demand. This groundbreaking book explores the use of interelectron coordinates in constructing atomic wave functions. It presents a novel approach that yields surprisingly accurate values for the energy of various atomic systems, even in zero order. The method involves splitting the Hamiltonian into an unperturbed part containing the interelectron and electron-nucleus potentials, and a perturbing term that is always finite and vanishes when an electron is far from the nucleus. The resulting unperturbed wave function is a product of individual nuclear and interelectron wave functions, while the zero-order energy is the sum of the individual nuclear and interelectron energies. The author imposes suitable boundary conditions on the radial and interelectron parts of the wave function to account for various phenomena, including the physical behavior expected of the system and the shielding of the nuclear charge by the remaining electrons. The zero-order solutions are obtained under these boundary conditions, and the corresponding zero-order energies are immediately found. Applications of the method to various charged, neutral, and excited atoms illustrate its effectiveness, with results that are considerably better than those obtained using traditional methods. The simplicity of the method, coupled with its remarkable accuracy, underscores the significance of the insights it provides into the complex world of atomic structure. 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 # 9781333516130_0
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The Application of Wave Functions Containing Interelectron Coordinates II The Ground State Energy of Atoms Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781333516130
Quantity: 15 available
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The Application of Wave Functions Containing Interelectron Coordinates II The Ground State Energy of Atoms Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781333516130
Quantity: 15 available