Proceedings of the Conference on Advances in Dynamical Systems and Quantum Physics PDF Download
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Author: Sergio Albeverio
Publisher: World Scientific
ISBN: 9814534064
Category : Quantum field theory
Languages : en
Pages : 374
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Book Description
Author: Sergio Albeverio
Publisher: World Scientific
ISBN: 9814534064
Category : Quantum field theory
Languages : en
Pages : 374
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Book Description
Author: Elliott H. Lieb
Publisher: Springer Science & Business Media
ISBN: 3662063905
Category : Science
Languages : en
Pages : 645
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Book Description
This is the third Selecta of publications of Elliott Lieb, the first two being Stabil ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai. A companion fourth Selecta on Statistical Mechanics is also edited by us. Elliott Lieb has been a pioneer of the discipline of mathematical physics as it is nowadays understood and continues to lead several of its most active directions today. For the first part of this selecta we have made a selection of Lieb's works on Condensed Matter Physics. The impact of Lieb's work in mathematical con densed matter physics is unrivaled. It is fair to say that if one were to name a founding father of the field, Elliott Lieb would be the only candidate to claim this singular position. While in related fields, such as Statistical Mechanics and Atomic Physics, many key problems are readily formulated in unambiguous mathematical form, this is less so in Condensed Matter Physics, where some say that rigor is "probably impossible and certainly unnecessary". By carefully select ing the most important questions and formulating them as well-defined mathemat ical problems, and then solving a good number of them, Lieb has demonstrated the quoted opinion to be erroneous on both counts. What is true, however, is that many of these problems turn out to be very hard. It is not unusual that they take a decade (even several decades) to solve.
Author: Dionys Baeriswyl
Publisher: Springer Science & Business Media
ISBN: 1489910425
Category : Science
Languages : en
Pages : 408
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Book Description
In the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study "solvable" many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).
Author:
Publisher:
ISBN: 9780471812456
Category : Science
Languages : en
Pages : 268
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Author: International Conference on Chemistry (14th : 1969 : University of Brussels)
Publisher:
ISBN:
Category : Phase rule and equilibrium
Languages : en
Pages :
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Author: Harry Eugene Stanley
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 332
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Author: Daniel Iagolnitzer
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 926
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Book Description
Over 1000 mathematicians participated in the Paris International Conference on Mathematical Physics and its satellite conference on topology, strings and integrable models. This volume contains some of the highlights, including topics such as conformable field theory and general relativity.
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ISBN:
Category : Libraries
Languages : en
Pages : 1886
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Author:
Publisher:
ISBN:
Category : Chemistry, Technical
Languages : en
Pages : 846
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Book Description
Author: David Gross
Publisher: World Scientific
ISBN: 9812706763
Category : Science
Languages : en
Pages : 295
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Book Description
Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling EinsteinOCOs theory of gravity with quantum mechanics. These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume. In the Solvay tradition, the volume also includes the discussions among the participants OCo many of which were quite lively and illustrate dramatically divergent points of view OCo carefully edited and reproduced in full."
