Stochastic Models for Many-Body Systems: II. Finite Systems and Statistical Non-Equilibrium (Classic Reprint) - Tapa blanda
Sinopsis
Excerpt from Stochastic Models for Many-Body Systems: II. Finite Systems and Statistical Non-Equilibrium
We shall be principally concerned only with fermions and bosons in the present paper. For completeness, however, we shall describe in appendix.a the corresponding models for distinguishable particles.
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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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Reseña del editor
Excerpt from Stochastic Models for Many-Body Systems: II. Finite Systems and Statistical Non-Equilibrium
We shall be principally concerned only with fermions and bosons in the present paper. For completeness, however, we shall describe in appendix.a the corresponding models for distinguishable particles.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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.
Reseña del editor
Excerpt from Stochastic Models for Many-Body Systems: II. Finite Systems and Statistical Non-Equilibrium
In a preceding report [AFOSR - 1157, July 961] some model Hamiltonians were proposed for quantum-mechanical many-body systems with pair forces. For infinite systems in thermal equilibrium, they led to temperature-domain propagator expansions which were formally summable and expressible by closed equations. These expansions were identical with infinite subclasses of terms from the propagator expansion for the true many-body problem. The two principal models corresponded to ring- and ladder-diagram summations from the true propagator expansion, augmented by infinite classes of self-energy corrections. The model Hamiltonians were called stochastic because they contained parameters whose phases were fixed by random choices. In the present paper, more general models are formulated which yield formally summable propagator expansions for finite systems. The analysis is extended to correlation and Green's functions defined for nonequilibrium ensembles. The nonequilibrium treatment is developed in the Heisenberg representation in such a way that unlinked diagrams do not arise. A basic convergence question associated with the formal closed equations for the model propagators and correlation functions is examined by means of finite-difference integration of the Heisenberg equations of motion. This procedure appears to converge independently of whether the perturbation expansions for the propagators and correlation functions converge. It yields substantial support for the validity of the formal closed model equations.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Stochastic Models for Many-Body Systems: II (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book presents an innovative method for understanding the dynamic behavior of a collection of interacting particles. The author describes an analogy between interacting many-particle systems and stochastic processes. Starting from well-established theory, the author develops new methods for deriving approximations that describe the behavior of such systems using stochastic models. The resulting models demonstrate boundedness properties that are common to the real systems, and that are absent in traditional many-body approximations. The author further demonstrates that these models may be used to derive formally exact and closed equations through diagram expansions, which have closed analytical solutions. 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. Nº de ref. del artículo: 9781332200634_0
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Stochastic Models for ManyBody Systems II Finite Systems and Statistical NonEquilibrium Classic Reprint
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Stochastic Models for ManyBody Systems II Finite Systems and Statistical NonEquilibrium Classic Reprint
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