Synopsis
Excerpt from Helium at Zero Temperature With Hard-Sphere and Other Forces
Various theoretical and numerical problems relating to helium-like systems in their ground states are treated. New developments in the numerical solution of the Schrodinger equation permit the solution of 256 body systems with hard-sphere forces. Using periodic boundary conditions, fluid and crystal states can be described; results for the energy and radial distribution functions are given. A new method of correcting for low lying phonon excitations so as to extrapolate the energy of fluids to an infinite system is described. A perturbation theory relating the properties of the system with pure hard sphere forces to those with smoother, more realistic two body forces is introduced. As in recent work on classical systems the potential is divided into two continuous parts; one is repulsive, one attractive, the latter being treated as a perturbation. The solution for the repulsive part is taken directly from the hard sphere problem when the radius is identified as the scattering length of the repulsive part of the smooth potential. The convergence for the Lennard-Jones potential is very good. Using our numerical results for the hard sphere problem, with phonon corrections, together with this perturbation theory, results for energy vs. density agree with experiment within our error of 3-10% except at high crystal densities. We carry further Schiff's recent application of this perturbation theory to He and conclude that antisymmetrization by the method of Wu and Feenberg is the reason for lack of agreement with experiment in that system.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Autres éditions populaires du même titre
Résultats de recherche pour Helium at Zero Temperature With Hard-Sphere and Other...
Image fournie par le vendeur
Helium at Zero Temperature With Hard-Sphere and Other Forces (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Paperback. Etat : New. Print on Demand. This book presents an extensive investigation of the Bose system, specifically liquid helium, researched with quantum theory. The author first discusses the properties of the system with hard-sphere forces, which serve as a reference point for densities in the liquid state. They then introduce a perturbation theory that relates the properties of the liquid with harder forces to those with smoother forces. This theory offers a valuable approach to understanding the liquid's behavior. The book also explores the application of this perturbation theory to the study of real helium-like systems at zero temperature, comparing the results to experimental data and variational calculations. Overall, the book provides a comprehensive analysis of the ground state of the Bose system using quantum theory, offering valuable insights for researchers in condensed matter physics and quantum mechanics. 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. N° de réf. du vendeur 9781332135967_0
Acheter neuf
EUR 15,92
Livraison gratuite
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : Plus de 20 disponibles
Image d'archives
Helium at Zero Temperature With HardSphere and Other Forces Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332135967
Acheter neuf
EUR 25,35
Livraison gratuite
Expédition nationale : Etats-Unis
Expédition nationale : Etats-Unis
Quantité disponible : 15 disponible(s)
Image d'archives
Helium at Zero Temperature With HardSphere and Other Forces Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332135967
Acheter neuf
EUR 24,72
Expédition à EUR 3,80
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : 15 disponible(s)
Image fournie par le vendeur
HELIUM AT ZERO TEMPERATURE W/H
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. KlappentextrnrnExcerpt from Helium at Zero Temperature With Hard-Sphere and Other ForcesThe first part of this paper is devoted to the solution of the quantum hard-sphere problem (sections 2 through 5) This solution based on a method dev. N° de réf. du vendeur 2147927469
Acheter neuf
EUR 22,37
Expédition à EUR 48,99
Expédition depuis Allemagne vers Etats-Unis
Expédition depuis Allemagne vers Etats-Unis
Quantité disponible : Plus de 20 disponibles