Symmetry Theory in Molecular Physics with Mathematica

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Publisher : Springer Science & Business Media
ISBN 13 : 0387734708
Total Pages : 672 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Symmetry Theory in Molecular Physics with Mathematica by : William McClain

Download or read book Symmetry Theory in Molecular Physics with Mathematica written by William McClain and published by Springer Science & Business Media. This book was released on 2010-03-12 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetries in Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 364297029X
Total Pages : 471 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Symmetries in Physics by : Wolfgang Ludwig

Download or read book Symmetries in Physics written by Wolfgang Ludwig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Physics from Symmetry

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Publisher : Springer
ISBN 13 : 3319666312
Total Pages : 287 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Physics from Symmetry by : Jakob Schwichtenberg

Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2017-12-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

The Beauty of Mathematics in Science

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Publisher : World Scientific
ISBN 13 : 9812795421
Total Pages : 287 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Beauty of Mathematics in Science by : Jin-Quan Chen

Download or read book The Beauty of Mathematics in Science written by Jin-Quan Chen and published by World Scientific. This book was released on 2004 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to the life and work of J Q Chen. The contributions of Chen to nuclear and molecular physics are discussed vis-a-vis present developments in these fields. Among other subjects, the present status of microscopic theories of the interacting boson model in nuclear physics and the theory of symmetry adaptation of molecular vibrations in molecular physics are reviewed. The latter theory is particularly useful for large molecular species such as fullerenes, where icosahedral symmetry plays a fundamental role. Contents: A Conceptual Review of the New Approach to Group Representation Theory (F Wang, Nanjing University, China); The Interacting Boson Model (P Van Isacker, GANIL, France); Structure of Nuclei Near the First Order Spherical-Deformed Phase Transition in the Interacting Boson Model (N V Zamfir, G E, Fernandes & R F Casten, Yale University, USA); Dynamical Symmetry Approach to Collective Motions in Many-Body Systems (C-L Wu, National Center for Theoretical Sciences, Taiwan); Fermion Dynamical Symmetries and High Temperature Superconductors (M Guidry, University of Tennessee, USA); Quantum Mechanics on a Sphere (J N Ginocchio, Los Alamos National Laboratory, USA); The Method of Symmetrized Bosons (F Iachello, Yale University, Connecticut); The Perturbed Dirac-Coulomb Problem via SO(2,1) Algebra. A Dilemma! (K T Hecht, University of Michigan, USA); Continuous Groups and Molecular Electronic Structure (J Paldus & X-Z Li); and other papers. Readership: Researchers in nuclear, molecular and mathematical physics."

Symmetries in Science VII

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Publisher : Springer Science & Business Media
ISBN 13 : 1461529565
Total Pages : 613 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Symmetries in Science VII by : Bruno Gruber

Download or read book Symmetries in Science VII written by Bruno Gruber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Symposium "Symmetries in Science VII: Spectrum Generating Algebras and Dynamic Symmetries in Physics" was held at the Southern Illinois University at Carbondale in Niigata, Japan Campus, during the period August 28-31, 1992. The Symposium was held in honor of Professor Francesco lachello on the occasion of his 50th birthday. We wish to thank the colleagues and friends of Franco for their participation in the Symposium as well as for contributing articles to this volume honoring him. It was their commitment and involvement which made this Symposium a success. We also wish to thank Dr. Jared H. Dorn, the director of SIUC-N, for his support in the planning and the execution of the Symposium. Moreover we wish to thank Mayor Nobuo Kumakura of Nakajo town and Mr. Kaichi Suzuki of the school entity "The Pacific" for their friendly support. Bruno Gruber, SIUC-N Takaharu Otsuka, University of Tokyo v LAUDATIO ON THE OCCASION OF THE 50TH BIRTHDAY OF PROFESSOR FRANCESCO IACHELLO I first met Franco lachello in 1974. Driving a smart Alfa-Romeo, he came to meet me at the station at Groningen where I was to spend a summer conducting research.

Mathematical Physics Research at the Cutting Edge

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Publisher : Nova Publishers
ISBN 13 : 9781590339398
Total Pages : 286 pages
Book Rating : 4.3/5 (393 download)

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Book Synopsis Mathematical Physics Research at the Cutting Edge by : Charles V. Benton

Download or read book Mathematical Physics Research at the Cutting Edge written by Charles V. Benton and published by Nova Publishers. This book was released on 2004 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field. Structure of the Kalb-Ramond Gauge Symmetry and Spinor Representations; Group Theoretical Interpretation of CPT-Theorem; Cross Recurrence Plots and Their Applications; Analytical Solutions of the Radiative Transfer Equation in One-dimensional Spherical Geometry With Central Symmetry; Hyperspherical Functions and Harmonic Analysis on the Lorentz Group; The Next Stage: Quantum Game Theory; Index.

Group Theory in Solid State Physics and Photonics

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Publisher : John Wiley & Sons
ISBN 13 : 352741133X
Total Pages : 381 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Group Theory in Solid State Physics and Photonics by : Wolfram Hergert

Download or read book Group Theory in Solid State Physics and Photonics written by Wolfram Hergert and published by John Wiley & Sons. This book was released on 2018-08-20 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

GROUP 24

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Publisher : CRC Press
ISBN 13 : 9780750309332
Total Pages : 1004 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis GROUP 24 by : J.P Gazeau

Download or read book GROUP 24 written by J.P Gazeau and published by CRC Press. This book was released on 2003-11-30 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections. As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.

Symmetry Principles in Solid State and Molecular Physics

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Publisher : Wiley-Interscience
ISBN 13 : 9780471519041
Total Pages : 499 pages
Book Rating : 4.5/5 (19 download)

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Book Synopsis Symmetry Principles in Solid State and Molecular Physics by : Melvin J. Lax

Download or read book Symmetry Principles in Solid State and Molecular Physics written by Melvin J. Lax and published by Wiley-Interscience. This book was released on 1974-01-01 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introductory Group Theory and Its Application to Molecular Structure

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Publisher : Springer Science & Business Media
ISBN 13 : 1468487957
Total Pages : 294 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Introductory Group Theory and Its Application to Molecular Structure by : John Ferraro

Download or read book Introductory Group Theory and Its Application to Molecular Structure written by John Ferraro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The success of the first edition of this book has encouraged us to revise and update it. In the second edition we have attempted to further clarify por tions of the text in reference to point symmetry, keeping certain sections and removing others. The ever-expanding interest in solids necessitates some discussion on space symmetry. In this edition we have expanded the discus sion on point symmetry to include space symmetry. The selection rules in clude space group selection rules (for k = 0). Numerous examples are pro vided to acquaint the reader with the procedure necessary to accomplish this. Recent examples from the literature are given to illustrate the use of group theory in the interpretation of molecular spectra and in the determination of molecular structure. The text is intended for scientists and students with only a limited theoretical background in spectroscopy. For this reason we have presented detailed procedures for carrying out the selection rules and normal coor dinate treatment of molecules. We have chosen to exclude discussion on symmetry aspects of molecular orbital theory and ligand field theory. It has been our approach to highlight vibrational data only, primarily to keep the size and cost of the book to a reasonable limit.

Symmetry Principles in Solid State and Molecular Physics

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Publisher : Courier Corporation
ISBN 13 : 0486420019
Total Pages : 514 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Symmetry Principles in Solid State and Molecular Physics by : Melvin Lax

Download or read book Symmetry Principles in Solid State and Molecular Physics written by Melvin Lax and published by Courier Corporation. This book was released on 2001-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetries in Quantum Mechanics

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Publisher : CRC Press
ISBN 13 : 1000944166
Total Pages : 320 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Symmetries in Quantum Mechanics by : M Chaichian

Download or read book Symmetries in Quantum Mechanics written by M Chaichian and published by CRC Press. This book was released on 2023-07-21 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.

Group Theory and Its Applications in Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642800211
Total Pages : 409 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Group Theory and Its Applications in Physics by : Teturo Inui

Download or read book Group Theory and Its Applications in Physics written by Teturo Inui and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written to introduce readers to group theory and its ap plications in atomic physics, molecular physics, and solid-state physics. The first Japanese edition was published in 1976. The present English edi tion has been translated by the authors from the revised and enlarged edition of 1980. In translation, slight modifications have been made in. Chaps. 8 and 14 to update and condense the contents, together with some minor additions and improvements throughout the volume. The authors cordially thank Professor J. L. Birman and Professor M. Car dona, who encouraged them to prepare the English translation. Tokyo, January 1990 T. Inui . Y. Tanabe Y. Onodera Preface to the Japanese Edition As the title shows, this book has been prepared as a textbook to introduce readers to the applications of group theory in several fields of physics. Group theory is, in a nutshell, the mathematics of symmetry. It has three main areas of application in modern physics. The first originates from early studies of crystal morphology and constitutes a framework for classical crystal physics. The analysis of the symmetry of tensors representing macroscopic physical properties (such as elastic constants) belongs to this category. The sec ond area was enunciated by E. Wigner (1926) as a powerful means of handling quantum-mechanical problems and was first applied in this sense to the analysis of atomic spectra. Soon, H.

Fundamentals of Molecular Symmetry

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Publisher : CRC Press
ISBN 13 : 0429837003
Total Pages : 358 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Fundamentals of Molecular Symmetry by : P.R. Bunker

Download or read book Fundamentals of Molecular Symmetry written by P.R. Bunker and published by CRC Press. This book was released on 2018-10-03 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Group Theory with Applications in Chemical Physics

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Publisher : Cambridge University Press
ISBN 13 : 9780521642507
Total Pages : 520 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Group Theory with Applications in Chemical Physics by : Patrick W. M. Jacobs

Download or read book Group Theory with Applications in Chemical Physics written by Patrick W. M. Jacobs and published by Cambridge University Press. This book was released on 2005-10-18 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.

Enzyme Kinetics

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Publisher : John Wiley & Sons
ISBN 13 : 1118002156
Total Pages : 448 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Enzyme Kinetics by : Robert A. Alberty

Download or read book Enzyme Kinetics written by Robert A. Alberty and published by John Wiley & Sons. This book was released on 2011-03-10 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540328971
Total Pages : 576 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Group Theory by : Mildred S. Dresselhaus

Download or read book Group Theory written by Mildred S. Dresselhaus and published by Springer Science & Business Media. This book was released on 2007-12-13 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.