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Quantum Mathematical Physics: Atoms, Molecules and Large Systems

Posted By: AvaxGenius
Quantum Mathematical Physics: Atoms, Molecules and Large Systems

Quantum Mathematical Physics: Atoms, Molecules and Large Systems by Walter Thirring
English | PDF | 2002 | 599 Pages | ISBN : 3540430784 | 40.5 MB

This edition combines the earlier two volumes on Quantum Mechanics of Atoms and Molecules and on Quantum Mechanics of Large Systems, thus including in a single volume the material for a two-semester course on quantum physics. Since this volume is already quite heavy, I could not include many new results which show how lively the subject is. I just want to mention that inequality (IV:4. 1. l. 1) has been sharpened by T. Weidl by a factor 2][ and the difficult problem 1 of (III:4. 6) has been solved by A. Martin. I have to thank N. Ilieva for the devotion in preparing this new edition. Vienna, November 2001 Walter Thirring Preface to the Second Edition: Quantum Mechanics of Atoms and Molecules Ever since the first edition of this volume appeared in 1980 quantum statistical mechanics has florished. Innumerable results in many areas have been obtained and it would require a series of volumes to do justice to all of them. On the other hand the first edition was already rather crowded with many details so it would not be overburdened any more. Thus I added only one chapter on quantum ergodic theory where one can get the main notions across without too much pain. Nevertheless many subjects treated in the book had splendidely developed ever since and the only way out I could see is to add some recent references which the interested reader can consult.

Nonlinear Waves 1: Dynamics and Evolution

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Nonlinear Waves 1: Dynamics and Evolution

Nonlinear Waves 1: Dynamics and Evolution by Andrei V. Gaponov-Grekhov (Academician), Mikhail I. Rabinovich, Jüri Engelbrecht
English | PDF | 1989 | 250 Pages | ISBN : 3540505628 | 20.1 MB

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The first volume starts with a historical overview of nonlinear dynamics from Poincaré to the present day and touches topics like attractors, nonlinear oscillators and waves, turbulence, pattern formation, and dynamics of structures in nonequilibrium dissipative media. It then deals with structures, bistabilities, instabilities, chaos, dynamics of defects in 1d systems, self-organizations, solitons, spatio-temporal structures and wave collapse in optical systems, lasers, plasmas, reaction-diffusion systems and solids.

Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics

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Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics

Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics by Walter Greiner , Berndt Müller , Johann Rafelski
English | PDF | 1985 | 605 Pages | ISBN : 3642822746 | 47.3 MB

The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda­ mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop­ erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon­ ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide­ ly accepted that the same field theory may be based on different vacua. Practical­ ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex­ ception and this is the change of the ground state (vacuum) of the electron-posi­ tron field in superstrong electric fields.

A Course in Mathematical Physics : Quantum Mechanics of Atoms and Molecules

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A Course in Mathematical Physics : Quantum Mechanics of Atoms and Molecules

A Course in Mathematical Physics : Quantum Mechanics of Atoms and Molecules by Walter Thirring
English | PDF | 1981 | 310 Pages | ISBN : N/A | 23.1 MB

In this third volume of A Course in Mathematical Physics I have attempted not simply to introduce axioms and derive quantum mechanics from them, but also to progress to relevant applications. Reading the axiomatic litera­ ture often gives one the impression that it largely consists of making refined axioms, thereby freeing physics from any trace of down-to-earth residue and cutting it off from simpler ways of thinking. The goal pursued here, however, is to come up with concrete results that can be compared with experimental facts. Everything else should be regarded only as a side issue, and has been chosen for pragmatic reasons.

Stochastic Analysis and Mathematical Physics II: 4th International ANESTOC Workshop in Santiago, Chile

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Stochastic Analysis and Mathematical Physics II: 4th International ANESTOC Workshop in Santiago, Chile

Stochastic Analysis and Mathematical Physics II: 4th International ANESTOC Workshop in Santiago, Chile by Rolando Rebolledo
English | PDF | 2003 | 172 Pages | ISBN : 3764369973 | 12.7 MB

The seminar on Stochastic Analysis and Mathematical Physics of the Ca­ tholic University of Chile, started in Santiago in 1984, has being followed and enlarged since 1995 by a series of international workshops aimed at pro­ moting a wide-spectrum dialogue between experts on the fields of classical and quantum stochastic analysis, mathematical physics, and physics. This volume collects most of the contributions to the Fourth Interna­ tional Workshop on Stochastic Analysis and Mathematical Physics (whose Spanish abbreviation is "ANESTOC"; in English, "STAMP"), held in San­ tiago, Chile, from January 5 to 11, 2000. The workshop style stimulated a vivid exchange of ideas which finally led to a number of written con­ tributions which I am glad to introduce here. However, we are currently submitted to a sort of invasion of proceedings books, and we do not want to increase our own shelves with a new one of the like. On the other hand, the editors of conference proceedings have to use different exhausting and com­ pulsive strategies to persuade authors to write and provide texts in time, a task which terrifies us. As a result, this volume is aimed at smoothly start­ ing a new kind of publication. What we would like to have is a collection of books organized like our seminar.

Chaos: A Program Collection for the PC

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Chaos: A Program Collection for the PC

Chaos: A Program Collection for the PC by Hans Jürgen Korsch , Hans-Jörg Jodl , Timo Hartmann
English | PDF (True) | 2008 | 353 Pages | ISBN : 3540748660 | 14.5 MB

This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmic details. For the third edition of Chaos: A Program Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included).

Chaos: A Program Collection for the PC

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Chaos: A Program Collection for the PC

Chaos: A Program Collection for the PC by H. J. Korsch , H.-J. Jodl
English | PDF | 1999 | 327 Pages | ISBN : 3662038684 | 30.5 MB

Chaos: A Program Collection for the PC presents an outstanding selection of executable programs with introductory texts to chaos theory and its simulation. Students in physics, mathematics, and engineering will find a thorough introduction to fundamentals and applications in this field. Many numerical experiments and suggestions for further studies help the reader to become familiar with this fascinating topic. The second edition includes one CD-ROM, the executable programs are Windows 95 compatible.

Multiscale Methods in Quantum Mechanics: Theory and Experiment

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Multiscale Methods in Quantum Mechanics: Theory and Experiment

Multiscale Methods in Quantum Mechanics: Theory and Experiment by Philippe Blanchard, Gianfausto Dell’Antonio
English | PDF | 2004 | 223 Pages | ISBN : 0817632565 | 21 MB

In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics. In view of this progress, this volume is very timely; it is the first text totally devoted to multiscale methods as applied to various areas of physics and to the relative developments in mathematics.

Quantum Optics

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Quantum Optics

Quantum Optics by D. F. Walls , G. J. Milburn
English | PDF | 1994 | 356 Pages | ISBN : 3540588310 | 24.9 MB

Quantum Optics gives a comprehensive coverage of developments in quantum optics over the past twenty years. In the early chapters the formalism of quantum optics is elucidated and the main techniques are introduced. These are applied in the later chapters to problems such as squeezed states of light, resonance fluorescence, laser theory, quantum theory of four-wave mixing, quantum non-demolition measurements, Bell's inequalities, and atom optics. Experimental results are used to illustrate the theory throughout. This yields the most comprehensive and up-to-date coverage of experiment and theory in quantum optics in any textbook.

Smooth Manifolds and Observables

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Smooth Manifolds and Observables

Smooth Manifolds and Observables by Jet Nestruev
English | PDF (True) | 2003 | 226 Pages | ISBN : 0387955437 | 3.3 MB

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory.

Quantum Theory and Its Stochastic Limit

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Quantum Theory and Its Stochastic Limit

Quantum Theory and Its Stochastic Limit by Luigi Accardi , Igor Volovich , Yun Gang Lu
English | PDF | 2002 | 485 Pages | ISBN : 3540419284 | 33.6 MB

Nowadays it is becoming clearer and clearer that, in the description of natural phenomena, the triadic scheme - microseopie, mesoscopic, macroscopic - is only a rough approximation and that there are many levels of description, probably an infinite hierarchy, in which the specific properties of a given level express some kind of cumulative or collective behaviour of properties or sys­ tems corresponding to the lower levels. One of the most interesting challenges for contemporary natural sciences is the comprehension of the connections among these different levels of description of reality and the deduction of the laws of higher levels in this hierarchy from basic laws corresponding to lower levels. Since these cumulative or collective phenomena are, typically, nonlin­ ear effects, the transition from this general program to concrete scientific achievements requires the developement of techniques which allow physical information to be extracted from nonlinear quantum systems. Explicitly in­ tegrable examples of such systems are rare, and the most interesting physical phenomena are not captured by them. Even in the case of linear systems the fact that an explicit solution is formally available is often useless, since it is impossible to interpret interesting physical phenomena from it.

Fundamentals of Quantum Information: Quantum Computation, Communication, Decoherence and All That

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Fundamentals of Quantum Information: Quantum Computation, Communication, Decoherence and All That

Fundamentals of Quantum Information: Quantum Computation, Communication, Decoherence and All That by Dieter Heiss
English | PDF | 2002 | 274 Pages | ISBN : 3540433678 | 3.4 MB

Quantum information science is a rapidly developing field that not only promises a revolution in computer sciences but also touches deeply the very foundations of quantum physics. This book consists of a set of lectures by leading experts in the field that bridges the gap between standard textbook material and the research literature, thus providing the ne- cessary background for postgraduate students and non-specialist researchers wishing to familiarize themselves with the subject thoroughly and at a high level. This volume is ideally suited as a course book for postgraduate students, and lecturers will find in it a large choice of material for bringing their courses up to date.

Mechanics: From Newton’s Laws to Deterministic Chaos, Third Edition

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Mechanics: From Newton’s Laws to Deterministic Chaos, Third Edition

Mechanics: From Newton’s Laws to Deterministic Chaos, Third Edition by Florian A. Scheck
English | PDF | 1999 | 540 Pages | ISBN : 3540655581 | 41.5 MB

Purpose and Emphasis. Mechanics not only is the oldest branch of physics but was and still is the basis for all of theoretical physics. Quantum mechanics can hardly be understood, perhaps cannot even be formulated, without a good knowledge of general mechanics. Field theories such as electrodynamics borrow their formal framework and many of their building principles from mechanics. In short, throughout the many modern developments of physics where one frequently turns back to the principles of classical mechanics its model character is felt. For this reason it is not surprising that the presentation of mechanics reflects of modern physics and that today this classical to some extent the development branch of theoretical physics is taught rather differently than at the time of Arnold Sommerfeld, in the 1920s, or even in the 1950s, when more emphasis was put on the theory and the applications of partial-differential equations. Today, symmetries and invariance principles, the structure of the space-time continuum, and the geometrical structure of mechanics play an important role. The beginner should realize that mechanics is not primarily the art of describing block-and-tackles, collisions of billiard balls, constrained motions of the cylinder in a washing machine, or bicycle riding.

Classical Mechanics with Maple

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Classical Mechanics with Maple

Classical Mechanics with Maple by Ronald L. Greene
English | PDF | 1995 | 179 Pages | ISBN : 0387945121 | 12.6 MB

Many problems in classical mechanics can now be readily solved using computers. This text integrates Maple, a general-purpose symbolic computation program, into the traditional sophomore- or junior-level mechanics course. Intended primarily as a supplement to a standard text, it discusses all the topics usually covered in the course and shows how to solve problems using Maple and how to display solutions graphically to gain further insight. The text is self-contained and can also be used for self-study or as the primary text in a mechanics course.

Elements of Newtonian Mechanics: Including Nonlinear Dynamics

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Elements of Newtonian Mechanics: Including Nonlinear Dynamics

Elements of Newtonian Mechanics: Including Nonlinear Dynamics by Jens Martin Knudsen , Poul Georg Hjorth
English | PDF | 1996 | 460 Pages | ISBN : 3540608419 | 47.7 MB

In the second edition, a number of misprints that appeared in the first edition have been corrected. In addition to this, we have made improvements based on the experience gathered in the use of the first English edition of the book in the introductory course in physics at the University of Copenhagen. A chapter introducing nonlinear dynamics has been added. The purpose of this chapter is to provide supplementary reading for the students who are interested in this area of active research, where Newtonian mechanics plays an essential role. The students who wish to dig deeper, should consult texts dedicated to the study of nonlinear dynamical systems and chaos.