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The book is written for advanced graduate students. The topics have
been selected to present methods and models that have applications
in both particle physics and polymer physics. The lectures may
serve as a guide through more recent research activities and
illustrate the applicability of joint methods in different
contexts. The book deals with analytic tools (e.g. random walk
models, polymer expansion), numerical tools (e.g. Langevin
dynamics), and common models (the three-dimensional
Gross-Neveu-Model).
The book is written for advanced graduate students. The topics have
been selected to present methods and models that have applications
in both particle physics and polymer physics. The lectures may
serve as a guide through more recent research activities and
illustrate the applicability of joint methods in different
contexts. The book deals with analytic tools (e.g. random walk
models, polymer expansion), numerical tools (e.g. Langevin
dynamics), and common models (the three-dimensional
Gross-Neveu-Model).
This is a collection of articles on fundamental physical principles
and methods, the topics ranging from matrix models, random
surfaces, quantum dots and rings, to black holes, cosmology and
testing of the tiny effects predicted by General Relativity. Among
the authors are Sir Roger Penrose and other well-known experts and
the articles are addressed to graduate students and researchers.
The volume is a Festschrift to a noted physicist and mentor Sergei
Matinyan.
The description of solids at a microscopic level is complex,
involving the interaction of a huge number of its constituents,
such as ions or electrons. It is impossible to solve the
corresponding many-body problems analytically or numerically,
although much insight can be gained from the analysis of simplified
models. An important example is the Hubbard model, which describes
interacting electrons in narrow energy bands, and which has been
applied to problems as diverse as high-Tc superconductivity, band
magnetism, and the metal-insulator transition. This book presents a
coherent, self-contained account of the exact solution of the
Hubbard model in one dimension. The early chapters will be
accessible to beginning graduate students with a basic knowledge of
quantum mechanics and statistical mechanics. The later chapters
address more advanced topics, and are intended as a guide for
researchers to some of the more topical results in the field of
integrable models.
The description of solids at a microscopic level is complex,
involving the interaction of a huge number of its constituents,
such as ions or electrons. It is impossible to solve the
corresponding many-body problems analytically or numerically,
although much insight can be gained from the analysis of simplified
models. An important example is the Hubbard model, which describes
interacting electrons in narrow energy bands, and which has been
applied to problems as diverse as high-Tc superconductivity, band
magnetism, and the metal-insulator transition. This book presents a
coherent, self-contained account of the exact solution of the
Hubbard model in one dimension. The early chapters will be
accessible to beginning graduate students with a basic knowledge of
quantum mechanics and statistical mechanics. The later chapters
address more advanced topics, and are intended as a guide for
researchers to some of the more recent scientific results in the
field of integrable models.
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