The Theory Of Quantum Liquids Volume I: Normal Fermi Liquids (Advanced Book Classics)

Science & Math

Pines, David

Nozières, Philippe

Physics

Basic Books

Emerging Syntheses In Science

CRC-Press

The Economy As An Evolving Complex System

Arrow, Kenneth J.

Anderson, Philip W.

Santa Fe Instit

This book proceeds from a meeting at the Santa Fe Institute where economists and physical and biological scientists came together to discuss a conceptual framework incorporating a more appropriate mathematics with a greatly strengthened capacity to deal simultaneously with multiple variables, nonlinearity, incomplete information and dynamical processes.

The Economy As An Evolving Complex System: The Proceedings of the Evolutionary Paths of the Global Economy Workshop, Held September, 1987 in Santa Fe, New Mexico (Santa Fe Institute Series)

Business & Money

Arrow, Kenneth

Economics

Evolution of self-replicating macromolecules through natural selection is a dynamically ordered process. Two concepts are introduced to describe the physical regularity of macromolecular evolution: sequence space and quasi-species. Natural selection means localization of a mutant distribution in sequence space. This localized distribution, called the quasi-species, is centered around a master sequence (or a degenerate set), that the biologist would call the wild-type. The self-ordering of such a system is an essential consequence of its formation through self-reproduction of its macromolecular consti tuents, a process that in the dynamical equations expresses itself by positive diagonal coefficients called selective values. The theory describes how population numbers of wild type and mutants are related to the distribution of selective values, that is to say, how value topography maps into population topography. For selectively (nearly) neutral mutants appearing in the quasi- species distribution, population numbers are greatly enhanced as compared to those of disadvantageous mutants, even more so in continuous domains of such selectively valuable mutants. As a consequence, mutants far distant from the wild type may occur because they are produced with the help of highly populated, less distant precursors. Since values are cohesively distributed, like mountains on earth, and since their positions are multiply connected in the high-dimensional sequence space, the overpopulation of (nearly) neural mutants provides guidance for the evolutionary process. Localization in sequence space, subject to a threshold in the fidelity of reproduction, is steadily challenged until an optimal state is reached. The model has been designed according to experimentally determined properties of self-replicating molecules. The conclusions reached from the theoretical models can be used to construct machines that provide optimal conditions for the evolution of functional macromolecules.

Emerging Syntheses In Science: Proceedings of the Founding Workshops of the Santa Fe Institute Santa Fe, New Mexico (Santa Fe Institute Series)

Evolution

This classic graduate text, first published in 1961, studies the way that the interaction between particles in a dense system alters the behavior of the isolated, noninteracting particles. The three system properties of interest are: ground-state energy; elementary excitation spectra, including quasi-particles and collective modes; and various temperature-dependent phenomena for both equilibrium and nonequilibrium states. One of the first titles in the Frontiers in Physics series, The Many-Body Problem continues to be an important theoretical building block for physicists today.

The Many-Body Problem;Advanced Book Classics

This book is concerned with a single group of quantum liquids, normal Fermi liqztids, discussing the nature of elementary excitations, the central concept of response functions. It is intended as a text for a graduate course in quantum statistical mechanics or low temperature theory.

Theory Of Quantum Liquids: Normal Fermi Liquids (Advanced Books Classics)

This book provides a unified account of the theory of quantum liquid and discusses the mathematical theory of linear response and correlations. It is helpful for experimental physicists working in the fields of low-temperature or solid-state physics.

Theory Of Quantum Liquids: Superfluid Bose Liquids (Advanced Books Classics)

This book is a very early systematic treatment of the application of the field-theoretical methods developed after the Second World War to the quantum mechanical many-body problem at finite temperature. It describes various techniques that remain basic tools of modern condensed matter physicists.

Quantum Statistical Mechanics (Advanced Books Classics)

Baym, Gordon

Kadanoff, Leo P.

Mathematics

Westview Press

Originally published as two separate volumes, The Theory of Quantum Liquids is a classic text that attempts to describe the qualitative and unifying aspects of an extremely broad and diversified field. Volume I deals with ‘normal' Fremi liquids, such as 3He and electrons in metals. Volume II consists of a detailed treatment of Bose condensation and liquid 4He, including the development of a Bose liquid theory and a microscopic basis for the two-fluid model, and the description of the elementary excitations of liquid HeII.

The Theory Of Quantum Liquids (volume Ii) (Advanced Book Classics)

Nozieres, Phillipe

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Books by Pines, David