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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.
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Helium at Zero Temperature With Hard-Sphere and Other Forces (Classic Reprint)
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781332135967_0
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Helium at Zero Temperature With HardSphere and Other Forces Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332135967
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Helium at Zero Temperature With HardSphere and Other Forces Classic Reprint
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Helium at Zero Temperature with Hard-Sphere and Other Forces (Classic Reprint)
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Paperback. Zustand: Brand New. 79 pages. 9.02x5.98x0.17 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk133213596X
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