Symmetry Theory In Molecular Physics With Mathematica

Author : William McClain
Publisher : Springer Science & Business Media
Page : 672 pages
File Size : 40,6 Mb
Release : 2010-03-12
Category : Science
ISBN : 9780387734705

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Symmetry Theory in Molecular Physics with Mathematica by William McClain Pdf

Prof. McClain has, quite simply, produced a new kind of tutorial book. It is written using the logic engine Mathematica, which permits concrete exploration and development of every concept involved in Symmetry Theory. It is aimed at students of chemistry and molecular physics who need to know mathematical group theory and its applications, either for their own research or for understanding the language and concepts of their field. The book begins with the most elementary symmetry concepts, then presents mathematical group theory, and finally the projection operators that flow from the Great Orthogonality are automated and applied to chemical and spectroscopic problems.

Author : Wolfgang Ludwig,Claus Falter
Publisher : Springer Science & Business Media
Page : 471 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642970290

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Symmetries in Physics by Wolfgang Ludwig,Claus Falter Pdf

Everyone knows that symmetry is fundamentally important in physics. On one hand, the symmetry of a system is often the starting point for general physical considerations, and on the other hand, particular problems may be solved in simpler and more elegant ways if symmetry is taken into account. This book presents the underlying theories of symmetry and gives examples of their application in branches of physics ranging from solid-state to high-energy physics via atomic and molecular physics. The text is as self-contained as possible, with as much mathematical formalism given as required. The main emphasis is on the theory of group representations and on the method of projection operators, this is a very powerful tool which is often treated only very briefly. Discrete symmetries, continuous symmetries and symmetry breaking are also discussed, and exercises are provided to stimulate the reader to carry out original work.

Author : Wolfram Hergert,R. Matthias Geilhufe
Publisher : John Wiley & Sons
Page : 381 pages
File Size : 43,7 Mb
Release : 2018-08-20
Category : Science
ISBN : 9783527411337

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Group Theory in Solid State Physics and Photonics by Wolfram Hergert,R. Matthias Geilhufe Pdf

While group theory and its application to solid state physics is well established, this textbook raises two completely new aspects. First, it provides a better understanding by focusing on problem solving and making extensive use of Mathematica tools to visualize the concepts. Second, it offers a new tool for the photonics community by transferring the concepts of group theory and its application to photonic crystals. Clearly divided into three parts, the first provides the basics of group theory. Even at this stage, the authors go beyond the widely used standard examples to show the broad field of applications. Part II is devoted to applications in condensed matter physics, i.e. the electronic structure of materials. Combining the application of the computer algebra system Mathematica with pen and paper derivations leads to a better and faster understanding. The exhaustive discussion shows that the basics of group theory can also be applied to a totally different field, as seen in Part III. Here, photonic applications are discussed in parallel to the electronic case, with the focus on photonic crystals in two and three dimensions, as well as being partially expanded to other problems in the field of photonics. The authors have developed Mathematica package GTPack which is available for download from the book's homepage. Analytic considerations, numerical calculations and visualization are carried out using the same software. While the use of the Mathematica tools are demonstrated on elementary examples, they can equally be applied to more complicated tasks resulting from the reader's own research.

Author : Melvin J. Lax
Publisher : Wiley-Interscience
Page : 0 pages
File Size : 50,9 Mb
Release : 1974
Category : Group theory
ISBN : 0471519030

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Symmetry Principles in Solid State and Molecular Physics by Melvin J. Lax Pdf

Author : Igorʹ Sergeevič Dmitriev
Publisher : Unknown
Page : 160 pages
File Size : 55,7 Mb
Release : 1979
Category : Molecular theory
ISBN : UCR:31210004276323

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Symmetry in the World of Molecules by Igorʹ Sergeevič Dmitriev Pdf

Author : Robert A. Alberty
Publisher : John Wiley & Sons
Page : 448 pages
File Size : 54,8 Mb
Release : 2011-03-10
Category : Science
ISBN : 9781118002155

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Enzyme Kinetics by Robert A. Alberty Pdf

Rapid-Equilibrium Enzyme Kinetics helps readers emphasize the estimation of kinetic parameters with the minimum number of velocity measurements, thereby reducing the amount of laboratory work necessary, and allowing more time for the consideration of complicated mechanisms. The book systematically progresses through six levels of understanding the enzyme-catalyzed reaction, and includes a CD-ROM so that the reader may use the programs in the book to input their own experimental data.

Author : R. McWeeny
Publisher : Elsevier
Page : 263 pages
File Size : 54,6 Mb
Release : 2013-09-03
Category : Mathematics
ISBN : 9781483226248

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Symmetry by R. McWeeny Pdf

Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.

Author : Gianfranco Minati
Publisher : Springer Nature
Page : 261 pages
File Size : 42,5 Mb
Release : 2021-07-30
Category : Business & Economics
ISBN : 9783030718770

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Multiplicity and Interdisciplinarity by Gianfranco Minati Pdf

This book presents the human, cultural, and scientific contributions of professor Eliano Pessa, who recently passed away. His research interests and activities were varied, some of which included quantum physics, cognitive science and psychology, systems science, artificial intelligence, and alpinism. They were never disciplinary-separated issues, but rather some coherent dimensions of his interests in life. He lived and not only practiced interdisciplinarity and multiple dimensions; he considered it unacceptable to do only one thing in life. The contributors in this volume consider, discuss, interpret, and represent the multiplicity and interdisciplinarity experienced, lived and applied by Pessa. The chapters are inspired by, rebuild, and retrace such networked interests lived by him from the personal, cultural, and scientific points of view of the authors. This is true interdisciplinarity and usage of non-equivalences, honoring the richness of Pessa's contributions.

Author : Gianfranco Minati,Eliano Pessa
Publisher : Springer
Page : 386 pages
File Size : 41,7 Mb
Release : 2018-01-29
Category : Business & Economics
ISBN : 9781493975815

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From Collective Beings to Quasi-Systems by Gianfranco Minati,Eliano Pessa Pdf

This book outlines a possible future theoretical perspective for systemics, its conceptual morphology and landscape while the Good-Old-Fashioned-Systemics (GOFS) era is still under way. The change from GOFS to future systemics can be represented, as shown in the book title, by the conceptual change from Collective Beings to Quasi-systems. With the current advancements, problems and approaches occurring in contemporary science, systemics are moving beyond the traditional frameworks used in the past. From Collective Beings to Coherent Quasi-Systems outlines a conceptual morphology and landscape for a new theoretical perspective for systemics introducing the concept of Quasi-systems. Advances in domains such as theoretical physics, philosophy of science, cell biology, neuroscience, experimental economics, network science and many others offer new concepts and technical tools to support the creation of a fully transdisciplinary General Theory of Change. This circumstance requires a deep reformulation of systemics, without forgetting the achievements of established conventions. The book is divided into two parts. Part I, examines classic systemic issues from new theoretical perspectives and approaches. A new general unified framework is introduced to help deal with topics such as dynamic structural coherence and Quasi-systems. This new theoretical framework is compared and contrasted with the traditional approaches. Part II focuses on the process of translation into social culture of the theoretical principles, models and approaches introduced in Part I. This translation is urgent in post-industrial societies where emergent processes and problems are still dealt with by using the classical or non-systemic knowledge of the industrial phase.

Author : Melvin Lax
Publisher : Courier Corporation
Page : 514 pages
File Size : 52,6 Mb
Release : 2001-01-01
Category : Science
ISBN : 9780486420011

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Symmetry Principles in Solid State and Molecular Physics by Melvin Lax Pdf

High-level text applies group theory to physics problems, develops methods for solving molecular vibration problems and for determining the form of crystal tensors, develops translational properties of crystals, more. 1974 edition.

Author : David S. Schonland
Publisher : Unknown
Page : 320 pages
File Size : 41,7 Mb
Release : 1965
Category : Mathematics
ISBN : UOM:39015003430777

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Molecular Symmetry by David S. Schonland Pdf

Author : Carl Wulfman
Publisher : World Scientific
Page : 459 pages
File Size : 45,7 Mb
Release : 2011
Category : Science
ISBN : 9789814291361

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Dynamical Symmetry by Carl Wulfman Pdf

Whenever systems are governed by continuous chains of causes and effects, their behavior exhibits the consequences of dynamical symmetries, many of them far from obvious. Dynamical Symmetry introduces the reader to Sophus Lie's discoveries of the connections between differential equations and continuous groups that underlie this observation. It develops and applies the mathematical relations between dynamics and geometry that result. Systematic methods for uncovering dynamical symmetries are described, and put to use. Much material in the book is new and some has only recently appeared in research journals. Though Lie groups play a key role in elementary particle physics, their connection with differential equations is more often exploited in applied mathematics and engineering. Dynamical Symmetry bridges this gap in a novel manner designed to help readers establish new connections in their own areas of interest. Emphasis is placed on applications to physics and chemistry. Applications to many of the other sciences illustrate both general principles and the ubiquitousness of dynamical symmetries.

Author : Rakshit Ameta,Suresh C. Ameta
Publisher : CRC Press
Page : 392 pages
File Size : 50,9 Mb
Release : 2016-11-03
Category : Science
ISBN : 9781771883993

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Chemical Applications of Symmetry and Group Theory by Rakshit Ameta,Suresh C. Ameta Pdf

As the structure and behavior of molecules and crystals depend on their different symmetries, group theory becomes an essential tool in many important areas of chemistry. It is a quite powerful theoretical tool to predict many basic as well as some characteristic properties of molecules. Whereas quantum mechanics provide solutions of some chemical problems on the basis of complicated mathematics, group theory puts forward these solutions in a very simplified and fascinating manner. Group theory has been successfully applied to many chemical problems. Students and teachers of chemical sciences have an invisible fear from this subject due to the difficulty with the mathematical jugglery. An active sixth dimension is required to understand the concept as well as to apply it to solve the problems of chemistry. This book avoids mathematical complications and presents group theory so that it is accessible to students as well as faculty and researchers. Chemical Applications of Symmetry and Group Theory discusses different applications to chemical problems with suitable examples. The book develops the concept of symmetry and group theory, representation of group, its applications to I.R. and Raman spectroscopy, U.V spectroscopy, bonding theories like molecular orbital theory, ligand field theory, hybridization, and more. Figures are included so that reader can visualize the symmetry, symmetry elements, and operations.

Author : P.R. Bunker,P. Jensen
Publisher : CRC Press
Page : 244 pages
File Size : 46,7 Mb
Release : 2018-10-03
Category : Science
ISBN : 9781351989855

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Fundamentals of Molecular Symmetry by P.R. Bunker,P. Jensen Pdf

Winner of a 2005 CHOICE Outstanding Academic Book Award Molecular symmetry is an easily applied tool for understanding and predicting many of the properties of molecules. Traditionally, students are taught this subject using point groups derived from the equilibrium geometry of the molecule. Fundamentals of Molecular Symmetry shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups. The book provides an introductory description of molecular spectroscopy and quantum mechanics as the foundation for understanding how molecular symmetry is defined and used. The approach taken gives a balanced account of using both point groups and molecular symmetry groups. Usually the point group is only useful for isolated, nonrotating molecules, executing small amplitude vibrations, with no tunneling, in isolated electronic states. However, for the chemical physicist or physical chemist who wishes to go beyond these limitations, the molecular symmetry group is almost always required.

Author : Arthur M. Lesk
Publisher : Springer Science & Business Media
Page : 126 pages
File Size : 40,8 Mb
Release : 2007-05-08
Category : Science
ISBN : 9781402021510

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Introduction to Symmetry and Group Theory for Chemists by Arthur M. Lesk Pdf

This book is based on a one-semester course for advanced undergraduates specializing in physical chemistry. I am aware that the mathematical training of most science majors is more heavily weighted towards analysis – typ- ally calculus and differential equations – than towards algebra. But it remains my conviction that the basic ideas and applications of group theory are not only vital, but not dif?cult to learn, even though a formal mathematical setting with emphasis on rigor and completeness is not the place where most chemists would feel most comfortable in learning them. The presentation here is short, and limited to those aspects of symmetry and group theory that are directly useful in interpreting molecular structure and spectroscopy. Nevertheless I hope that the reader will begin to sense some of the beauty of the subject. Symmetry is at the heart of our understanding of the physical laws of nature. If a reader is happy with what appears in this book, I must count this a success. But if the book motivates a reader to move deeper into the subject, I shall be grati?ed.