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Three-Dimensional Microfabrication Using Two-Photon Polymerization

Three-Dimensional Microfabrication Using Two-Photon Polymerization PDF Author: Tommaso Baldacchini
Publisher: William Andrew
ISBN: 0128178280
Category : Technology & Engineering
Languages : en
Pages : 762

Book Description
Three-Dimensional Microfabrication Using Two-Photon Polymerization, Second Edition offers a comprehensive guide to TPP microfabrication and a unified description of TPP microfabrication across disciplines. It offers in-depth discussion and analysis of all aspects of TPP, including the necessary background, pros and cons of TPP microfabrication, material selection, equipment, processes and characterization. Current and future applications are covered, along with case studies that illustrate the book's concepts. This new edition includes updated chapters on metrology, synthesis and the characterization of photoinitiators used in TPP, negative- and positive-tone photoresists, and nonlinear optical characterization of polymers. This is an important resource that will be useful for scientists involved in microfabrication, generation of micro- and nano-patterns and micromachining. - Discusses the major types of nanomaterials used in the agriculture and forestry sectors, exploring how their properties make them effective for specific applications - Explores the design, fabrication, characterization and applications of nanomaterials for new Agri-products - Offers an overview of regulatory aspects regarding the use of nanomaterials for agriculture and forestry

Three-Dimensional Microfabrication Using Two-Photon Polymerization

Three-Dimensional Microfabrication Using Two-Photon Polymerization PDF Author: Tommaso Baldacchini
Publisher: William Andrew
ISBN: 0128178280
Category : Technology & Engineering
Languages : en
Pages : 762

Book Description
Three-Dimensional Microfabrication Using Two-Photon Polymerization, Second Edition offers a comprehensive guide to TPP microfabrication and a unified description of TPP microfabrication across disciplines. It offers in-depth discussion and analysis of all aspects of TPP, including the necessary background, pros and cons of TPP microfabrication, material selection, equipment, processes and characterization. Current and future applications are covered, along with case studies that illustrate the book's concepts. This new edition includes updated chapters on metrology, synthesis and the characterization of photoinitiators used in TPP, negative- and positive-tone photoresists, and nonlinear optical characterization of polymers. This is an important resource that will be useful for scientists involved in microfabrication, generation of micro- and nano-patterns and micromachining. - Discusses the major types of nanomaterials used in the agriculture and forestry sectors, exploring how their properties make them effective for specific applications - Explores the design, fabrication, characterization and applications of nanomaterials for new Agri-products - Offers an overview of regulatory aspects regarding the use of nanomaterials for agriculture and forestry

Introduction To Supersymmetry And Supergravity (Revised And Extended 2nd Edition)

Introduction To Supersymmetry And Supergravity (Revised And Extended 2nd Edition) PDF Author: Peter West
Publisher: World Scientific Publishing Company
ISBN: 981310371X
Category : Science
Languages : en
Pages : 439

Book Description
The publication of the first edition of “Introduction to Supersymmetry and Supergravity” was a remarkable success. This second edition contains a substantial amount of new material especially on two-dimensional supersymmetry algebras, their irreducible representations as well as rigid and local (i.e. supergravity) theories of 2-dimensional supersymmetry both in x-space and superspace. These theories include the actions for the superstring and the heterotic string. In addition, a chapter is devoted to a discussion on superconformal algebras in two dimensions and contains an account of super operator product expansion.

Conformal Field Theory

Conformal Field Theory PDF Author: Serge? Vladimirovich Ketov
Publisher: World Scientific
ISBN: 9810216084
Category : Science
Languages : en
Pages : 502

Book Description
Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and ?conformal? intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.

Geometric Representation Theory and Extended Affine Lie Algebras

Geometric Representation Theory and Extended Affine Lie Algebras PDF Author: Erhard Neher
Publisher: American Mathematical Soc.
ISBN: 082185237X
Category : Mathematics
Languages : en
Pages : 226

Book Description
Lie theory has connections to many other disciplines such as geometry, number theory, mathematical physics, and algebraic combinatorics. The interaction between algebra, geometry and combinatorics has proven to be extremely powerful in shedding new light on each of these areas. This book presents the lectures given at the Fields Institute Summer School on Geometric Representation Theory and Extended Affine Lie Algebras held at the University of Ottawa in 2009. It provides a systematic account by experts of some of the exciting developments in Lie algebras and representation theory in the last two decades. It includes topics such as geometric realizations of irreducible representations in three different approaches, combinatorics and geometry of canonical and crystal bases, finite $W$-algebras arising as the quantization of the transversal slice to a nilpotent orbit, structure theory of extended affine Lie algebras, and representation theory of affine Lie algebras at level zero. This book will be of interest to mathematicians working in Lie algebras and to graduate students interested in learning the basic ideas of some very active research directions. The extensive references in the book will be helpful to guide non-experts to the original sources.

The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

The Maximal Subgroups of the Low-Dimensional Finite Classical Groups PDF Author: John N. Bray
Publisher: Cambridge University Press
ISBN: 0521138604
Category : Mathematics
Languages : en
Pages : 453

Book Description
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.

Class Field Theory

Class Field Theory PDF Author: Emil Artin
Publisher: American Mathematical Soc.
ISBN: 9780821869512
Category : Mathematics
Languages : en
Pages : 206

Book Description
This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory ... In this revised edition, two mathematical additions complementing the exposition of the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.

The Geometry of Infinite-Dimensional Groups

The Geometry of Infinite-Dimensional Groups PDF Author: Boris Khesin
Publisher: Springer Science & Business Media
ISBN: 3540772634
Category : Mathematics
Languages : en
Pages : 304

Book Description
This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.

Discrete Groups, Expanding Graphs and Invariant Measures

Discrete Groups, Expanding Graphs and Invariant Measures PDF Author: Alex Lubotzky
Publisher: Springer Science & Business Media
ISBN: 3034603320
Category : Mathematics
Languages : en
Pages : 201

Book Description
In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.

Topological Modelling of Nanostructures and Extended Systems

Topological Modelling of Nanostructures and Extended Systems PDF Author: Ali Reza Ashrafi
Publisher: Springer Science & Business Media
ISBN: 9400764138
Category : Science
Languages : en
Pages : 584

Book Description
Topological Modelling of Nanostructures and Extended Systems completes and expands upon the previously published title within this series: The Mathematics and Topology of Fullerenes (Vol. 4, 2011) by gathering the latest research and advances in materials science at nanoscale. It introduces a new speculative area and novel concepts like topochemical reactions and colored reactive topological indices and provides a better understanding of the physical-chemical behaviors of extended systems. Moreover, a charming new family of space-filling fullerenic crystals is here analyzed for the first time. Particular attention is given to the fundamental influences exercised by long-range connectivity topological mechanisms on the chemical and physical properties of carbon nanostructures. Systems consisting in graphenic layers with structural and topological defects are investigated in their electronic and magnetic behaviors also in presence of metallic particles. More specifically, the book focuses on: - Electronic Properties of low dimensional nanostructures including negatively-curved carbon surfaces; Pariser-Parr-Pople model hamiltonian approach to graphene studies; - Topochemistry and Toporeactcivity of extended sp2-nanocarbons: PAH, fullerenes, nanoribbons, Moebius-like nanoribbons, nanotubes and grapheme; - Novel class of crystal networks arising from spanning fullerenes; - Nanostructures and eigenvectors of matrices and an extended treatise of topological invariants; - Enumeration hetero-fullerenes by Polya theory. Topological Modelling of Nanostructures and Extended Systems represents a valuable resource to advances graduates and researchers working in mathematics, chemistry, physics and material science.

Characters in Low-Dimensional Topology

Characters in Low-Dimensional Topology PDF Author: Olivier Collin
Publisher: American Mathematical Soc.
ISBN: 147045209X
Category : Education
Languages : en
Pages : 353

Book Description
This volume contains the proceedings of a conference celebrating the work of Steven Boyer, held from June 2–6, 2018, at Université du Québec à Montréal, Montréal, Québec, Canada. Boyer's contributions to research in low-dimensional geometry and topology, and to the Canadian mathematical community, were recognized during the conference. The articles cover a broad range of topics related, but not limited, to the topology and geometry of 3-manifolds, properties of their fundamental groups and associated representation varieties.