Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures

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Publisher : World Scientific
ISBN 13 : 1800612931
Total Pages : 469 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures by : Vladimir Dmitriev

Download or read book Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures written by Vladimir Dmitriev and published by World Scientific. This book was released on 2023-01-19 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discontinuous (first-order) phase transitions constitute the most fundamental and widespread type of structural transitions existing in Nature, forming a large majority of the transitions found in elemental crystals, alloys, inorganic compounds, minerals and complex fluids. Nevertheless, only a small part of them, namely, weakly discontinuous transformations, were considered by phenomenological theories, leaving aside the most interesting from a theoretical point of view and the most important for application cases. Discontinuous Phase Transitions in Condensed Matter introduces a density-wave approach to phase transitions which results in a unified, symmetry-based, model-free theory of the weak crystallization of molecular mixtures to liquid-crystalline mesophases, strongly discontinuous crystallization from molten metals and alloys to conventional, fully segregated crystals, to aperiodic, quasi-crystalline structures. Assembly of aperiodic closed virus capsids with non-crystallographic symmetry also falls into the domain of applicability of the density-wave approach.The book also considers the applicability domains of the symmetry-based approach in physics of low-dimensional systems. It includes comparisons of stability of different surface superstructures and metal monoatomic coverage structures on the surface of single-crystalline substrates. The example of the twisted graphene bilayer demonstrates how parametrization in the spirit of an advanced phenomenological approach can establish symmetry-controlled, and therefore model-free, links between geometrical parameters of the twisted bilayer structure and reconstruction of its Brillouin zone and energy bands.

Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

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Publisher : Springer Science & Business Media
ISBN 13 : 9401141061
Total Pages : 388 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions by : Yuriy M. Bunkov

Download or read book Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions written by Yuriy M. Bunkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological defects formed at symmetry-breaking phase transitions play an important role in many different fields of physics. They appear in many condensed-matter systems at low temperature; examples include vortices in superfluid helium-4, a rich variety of defects in helium-3, quantized mag netic flux tubes in type-II superconductors, and disclination lines and other defects in liquid crystals. In cosmology, unified gauge theories of particle interactions suggest a sequence of phase transitions in the very early uni verse some of which may lead to defect formation. In astrophysics, defects play an important role in the dynamics of neutron stars. In 1997 the European Science Foundation started the scientific network "Topological defects" headed by Tom Kibble. This network has provided us with a unique opportunity of establishing a collaboration between the representatives of these very different branches of modern physics. The NATO-ASI (Advanced Study Institute), held in Les Houches in February 1999 thanks to the support of the Scientific Division of NATO, the European Science Foundation and the CNRS, represents a key event of this ESF network. It brought together participants from widely different fields, with diverse expertise and vocabulary, fostering the exchange of ideas. The lectures given by particle physicists, cosmologists and condensed matter physicists are the result of the fruitful collaborations established since 1997 between groups in several European countries and in the U.S.A.

Lectures On Phase Transitions

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Publisher : World Scientific
ISBN 13 : 9814507660
Total Pages : 253 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Lectures On Phase Transitions by : A S Shumovsky

Download or read book Lectures On Phase Transitions written by A S Shumovsky and published by World Scientific. This book was released on 1990-11-30 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the problem of phase transitions, emphasizing the generality and universality of the methods and models used. The course is basically concentrated on the problems of vacuum degeneration in macroscopic systems and a fundamental concept of quasiaverages by Bogolubov playing a special role in the theory of phase transitions and critical phenomena. An analysis of the connection between phase transition and spontaneous symmetry breaking in a macroscopic system allows a unique description of both first- and second-order phase transitions.The unique features of this book are:(i) a unique approach of describing first — as well as second-order phase transitions, based on the Bogolubov concept of quasi-averages.(ii) a detailed presentation of the material and at the same time a review of modern problems.(iii) a general character of developed ideas that could be applied to various particular systems of condensed matter physics, nuclear physics and high-energy physics.

Phase Transitions and Crystal Symmetry

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Publisher : Springer Science & Business Media
ISBN 13 : 9400919204
Total Pages : 462 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Phase Transitions and Crystal Symmetry by : Yurii Aleksandrovich Izyumov

Download or read book Phase Transitions and Crystal Symmetry written by Yurii Aleksandrovich Izyumov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.

The Physics of Structural Phase Transitions

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Publisher : Springer Science & Business Media
ISBN 13 : 1475727259
Total Pages : 256 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Physics of Structural Phase Transitions by : Minoru Fujimoto

Download or read book The Physics of Structural Phase Transitions written by Minoru Fujimoto and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for readers with some prior knowledge of condensed-matter physics, this text emphasises the basic physics behind spontaneous structural changes in crystals. Starting with the relevant thermodynamic principles, the author discusses the nature of order variables and their collective motion in a crystal lattice. He also goes on to describe experimental methods for modulated crystal structures and gives examples of structural changes in representative systems. Both a graduate text and reference work.

Phase Transitions in Materials

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Publisher : Cambridge University Press
ISBN 13 : 1139993380
Total Pages : 589 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Phase Transitions in Materials by : Brent Fultz

Download or read book Phase Transitions in Materials written by Brent Fultz and published by Cambridge University Press. This book was released on 2014-08-14 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a fresh viewpoint on phase changes and the thermodynamics of materials, this textbook covers the thermodynamics and kinetics of the most important phase transitions in materials science, spanning classical metallurgy through to nanoscience and quantum phase transitions. Clear, concise and complete explanations rigorously address transitions from the atomic scale up, providing the quantitative concepts, analytical tools and methods needed to understand modern research in materials science. Topics are grouped according to complexity, ensuring that students have a solid grounding in core topics before they begin to tackle more advanced material, and are accompanied by numerous end-of-chapter problems. With explanations firmly rooted in the context of modern advances in electronic structure and statistical mechanics, and developed from classroom teaching, this book is the ideal companion for graduate students and researchers in materials science, condensed matter physics, solid state science and physical chemistry.

Understanding Quantum Phase Transitions

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Publisher : CRC Press
ISBN 13 : 1439802610
Total Pages : 756 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Understanding Quantum Phase Transitions by : Lincoln Carr

Download or read book Understanding Quantum Phase Transitions written by Lincoln Carr and published by CRC Press. This book was released on 2010-11-02 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit

Quantum Phase Transitions

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Publisher : Cambridge University Press
ISBN 13 : 9780521004541
Total Pages : 374 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis Quantum Phase Transitions by : Subir Sachdev

Download or read book Quantum Phase Transitions written by Subir Sachdev and published by Cambridge University Press. This book was released on 2001-04-23 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.

Topological Phases in Condensed Matter Systems

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Publisher :
ISBN 13 : 9789088919510
Total Pages : 157 pages
Book Rating : 4.9/5 (195 download)

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Book Synopsis Topological Phases in Condensed Matter Systems by :

Download or read book Topological Phases in Condensed Matter Systems written by and published by . This book was released on 2014 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The research described in this thesis focuses on topological phases in condensed matter systems. It can be roughly divided into two parts. In the first part noninteracting systems are studied. The symmetry algebra of a charged spin-1/2 particle coupled to a non-Abelian magnetic field is determined, which explains the finite and infinite degeneracy of the energy. This system is a candidate for a continuum model of a three-dimensional topological insulator. Next, a two-dimensional version is considered on a sphere, where its spectrum is solved. The planar version of the sam model is probed by the insertion of a non-Abelian flux. Starting from a spin-polarized state, the adiabatic insertion of the flux results in a state with nontrivial spin-texture which is recognized as a quantum Hall skyrmion. The second part covers topological phases which stem from an underlying interacting model and that carry quasiparticles with fractional statistics. By applying a technique called topological symmetry breaking transitions between different phases can be induced. A careful treatment shows that different domains may appear in the broken phase separated by domain walls and it leads to a clear interpretation of confined particles. Moreover, phase transitions induced by multilayered condensates are considered. Non-Abelian phases as well as an entire hierarchy of Abelian fractional quantum Hall states are treated. A special focus is given to the study of the one-dimensional boundary between the two phases."--Samenvatting auteur.

Phase Transitions in Soft Condensed Matter

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Publisher : Springer
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Phase Transitions in Soft Condensed Matter by : Tormod Riste

Download or read book Phase Transitions in Soft Condensed Matter written by Tormod Riste and published by Springer. This book was released on 1989 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the proceedings of a NATO Advanced Study Institute held in Geilo, Norway, between 4 - 14 April 1989. This Institute was the tenth in a series held at Geilo on the subject of phase transitions. It was the first to be concerned with the growing area of soft condensed matter, which is neither ordinary solids nor ordinary liquids, but somewhere in between. The Institute brought together many lecturers, students and active researchers in the field from a wide range of NATO and some non-NATO countries, with financial support principally from the NATO Scientific Affairs Division but also from Institutt for energiteknikk, the Nor wegian Research Council for Science and the Humanities (NAVF), The Nordic Institute for Theoretical Atomic Physics (NORDITA), the Norwegian Physical Society and VISTA, a reserach cooperation between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap a.s (STATOIL). The organizing committee would like to thank all these contributors for their help in promoting an exciting and rewarding meeting, and in doing so are confident that they echo the appreciation also of all the participants. 50ft condensed matter is characterized by weak interactions between polyatomic constituents, by important·thermal fluctuations effects, by mechanical softness and by a rich range of behaviours. The main emphasis at this Institute was on the fundamental collective physics, but prepar ation techniques and industrial applications were also considered.

Investigations into condensed matter analogues of phase transitions in early universe and other low-dimensional phase transitions

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)

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Book Synopsis Investigations into condensed matter analogues of phase transitions in early universe and other low-dimensional phase transitions by : A. Swarup

Download or read book Investigations into condensed matter analogues of phase transitions in early universe and other low-dimensional phase transitions written by A. Swarup and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exotic States in Quantum Nanostructures

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Publisher : Springer Science & Business Media
ISBN 13 : 9401599742
Total Pages : 320 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Exotic States in Quantum Nanostructures by : Sarben Sarkar

Download or read book Exotic States in Quantum Nanostructures written by Sarben Sarkar and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mesoscopic physics has made great strides in the last few years. It is an area of research that is attractive to many graduate students of theoretical condensed matter physics. The techniques that are needed to understand it go beyond the conventional perturbative approaches that still form the bulk of the graduate lectures that are given to students. Even when the non-perturbative techniques are presented, they often are presented within an abstract context. It is important to have lectures given by experts in the field, which present both theory and experiment in an illuminating and inspiring way, so that the impact of new methodology on novel physics is clear. It is an apt time to have such a volume since the field has reached a level of maturity. The pedagogical nature of the articles and the variety of topics makes it an important resource for newcomers to the field. The topics range from the newly emerging area of quantum computers and quantum information using Josephson junctions to the formal mathematical methods of conformal field theory which are applied to the understanding of Luttinger liquids. Electrons which interact strongly can give rise to non-trivial ground states such as superconductivity, quantum Hall states and magnetism. Both their theory and application are discussed in a pedagogical way for quantum information in mesoscopic superconducting devices, skyrmions and magnetism in two dimensional electron gases, transport in quantum wires, metal-insulator transitions and spin electronics.

Ordering in Strongly Fluctuating Condensed Matter Systems

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Publisher : Springer
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Ordering in Strongly Fluctuating Condensed Matter Systems by : Tormod Riste

Download or read book Ordering in Strongly Fluctuating Condensed Matter Systems written by Tormod Riste and published by Springer. This book was released on 1980-03 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This NATO Advanced Study Institute held at Gei10, Norway, April 16th-27th 1979, was the fifth in a series devoted to the subject of phase transitions and instabilities. The application to NATO for the funding of this ASI contained the following para graphs: "Traditionally one has made a clear distinction between solids and liquids in terms of positional order, one being long-ranged and the other at most short-ranged. In recent years experiments have revealed a much more faceted picture and a less sharp distinction between solids and liquids. As an example one now has 3-dimensiona1 (3-D) liquids with 1-D density waves and 3-D solids with 1-D-1iquid molecular chains. The subsystems have the common feature of 10w dimensional systems: a strong tendency for fluctuations to appear. Although the connection between fluctuations and dimensionality, and the suppression of long-range order by fluctuations, was pointed out as early as 1935 by Peier1s and by Landau, it is in the last five years or so that theoretical work has gained momentum. This development of understanding started ten years ago, however, much inspired by the experimental work on 2-D spin systems.

Phase Transitions and Crystal Symmetry

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Publisher : Springer
ISBN 13 : 9780792305422
Total Pages : 444 pages
Book Rating : 4.3/5 (54 download)

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Book Synopsis Phase Transitions and Crystal Symmetry by : Yurii Aleksandrovich Izyumov

Download or read book Phase Transitions and Crystal Symmetry written by Yurii Aleksandrovich Izyumov and published by Springer. This book was released on 1990-03-31 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.

Phase Transitions, Critical and Nonlinear Phenomena in Condensed Matter

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Author :
Publisher : Trans Tech Publications Ltd
ISBN 13 : 303570130X
Total Pages : 306 pages
Book Rating : 4.0/5 (357 download)

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Book Synopsis Phase Transitions, Critical and Nonlinear Phenomena in Condensed Matter by : Vasiliy D. Buchelnikov

Download or read book Phase Transitions, Critical and Nonlinear Phenomena in Condensed Matter written by Vasiliy D. Buchelnikov and published by Trans Tech Publications Ltd. This book was released on 2016-03-03 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a selection from papers submitted to the International Conference “Phase transitions, critical and nonlinear phenomena in condensed matter”. The papers selected for this volume tend to present to a reader recent advances in the fields of phase transitions and critical phenomena in condensed matter; mathematical modeling and computer simulation of phase transitions and critical phenomena; nonlinear phenomena and chaos in condensed matter; structural transformations in carbon materials and also recent results in the field of investigation of the meteorite “Chelyabinsk”.

Symmetry and Structural Properties of Condensed Matter

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Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Symmetry and Structural Properties of Condensed Matter by :

Download or read book Symmetry and Structural Properties of Condensed Matter written by and published by . This book was released on 1990 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Second-Order Phase Transitions and the Irreducible Representation of Space Groups

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Publisher : Springer
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Second-Order Phase Transitions and the Irreducible Representation of Space Groups by : Hugo F. Franzen

Download or read book Second-Order Phase Transitions and the Irreducible Representation of Space Groups written by Hugo F. Franzen and published by Springer. This book was released on 1982-12 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lecture notes presented in this volume were developed over a period of time that originated with the investigation of a research problem, the distortion from NiAs-type to MnP-type, the group-theoretical implications of which were investigated in collaboration with Professors F. Jellinek and C. Haas of the Laboratory for Inorganic Chemistry at the University of Groningen during the 1973-1974 year. This distortion provides the major example that is worked through in the notes. The subject matter of the notes has been incorporated in part in the lectures of a course in Solid State Chemistry taught several times at Iowa State University, and formed the basis of a series of lectures presented at the Max-Planck Institute for Solid State Research in Stuttgart during 1981- 19821 and as part of a Solid State Chemistry course taught during the spring of 1982 at Arizona State University in Tempe. I wish here to express my gratitude to the Max-Planck Institute for Solid State Research and to Arizona State University for the opportunity and support they provided during the time I was developing and writing the lecture notes of this volume. I wish also to thank the many colleagues and students who have offered comments and suggestions that have improved the accuracy and readability of the notes, and who have provided stimulation through discussion of the ideas presented here. am especially indebted to Professors C. Haas and F.