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Dynamical Symmetry


Dynamical Symmetry
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Dynamical Symmetries For Nanostructures


Dynamical Symmetries For Nanostructures
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Author : Konstantin Kikoin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-01

Dynamical Symmetries For Nanostructures written by Konstantin Kikoin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-01 with Technology & Engineering categories.


Group theoretical concepts elucidate fundamental physical phenomena, including excitation spectra of quantum systems and complex geometrical structures such as molecules and crystals. These concepts are extensively covered in numerous textbooks. The aim of the present monograph is to illuminate more subtle aspects featuring group theory for quantum mechanics, that is, the concept of dynamical symmetry. Dynamical symmetry groups complement the conventional groups: their elements induce transitions between states belonging to different representations of the symmetry group of the Hamiltonian. Dynamical symmetry appears as a hidden symmetry in the hydrogen atom and quantum rotator problem, but its main role is manifested in nano and meso systems. Such systems include atomic clusters, large molecules, quantum dots attached to metallic electrodes, etc. They are expected to be the building blocks of future quantum electronic devices and information transmitting algorithms. Elucidation of the electronic properties of such systems is greatly facilitated by applying concepts of dynamical group theory.



Dynamical Symmetry


Dynamical Symmetry
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Author : Carl Wulfman
language : en
Publisher: World Scientific
Release Date : 2011

Dynamical Symmetry written by Carl Wulfman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.


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.



Symmetry Broken Symmetry And Topology In Modern Physics


Symmetry Broken Symmetry And Topology In Modern Physics
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Author : Mike Guidry
language : en
Publisher: Cambridge University Press
Release Date : 2022-03-31

Symmetry Broken Symmetry And Topology In Modern Physics written by Mike Guidry and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-31 with Mathematics categories.


A pedagogical introduction to the modern applications of groups, algebras, and topology for undergraduate and graduate students in physics.



Symmetries In Nuclear Structure


Symmetries In Nuclear Structure
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Author : Andrea Vitturi
language : en
Publisher: World Scientific
Release Date : 2004-04-15

Symmetries In Nuclear Structure written by Andrea Vitturi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-15 with Science categories.


The Highly Specialized Seminar on "Symmetries in Nuclear Structure", held in Erice, Italy, in March 2003, celebrated the career and the remarkable achievements of Francesco Iachello, on the occasion of his 60th birthday. Since the development of the interacting boson model in the early 1970s, the ideas of Iachello have provided a variety of frameworks for understanding collective behaviour in nuclear structure, founded on the concepts of dynamical symmetries and spectrum-generating algebras. The original ideas, which were developed for the description of atomic nuclei, have now been successfully extended to cover spectroscopic behaviour in other fields, such as molecular or hadronic spectra. More recently, the suggestion by Iachello of critical point symmetries to treat nuclei in shape/phase transitional regions has opened an exciting new front for both theoreticians and experimentalists.The talks presented at the meeting covered many of the most active forefront areas of nuclear structure as well as other fields where ideas of symmetries are being explored. Topics in nuclear structure included extensive discussions on dynamical symmetries, critical point symmetries, phase transitions, statistical properties of nuclei, supersymmetry, mixed symmetry states, shears bands, pairing and clustering in nuclei, shape coexistence, exotic nuclei, dipole modes, and astrophysics, among others. In addition, important sessions focused on talks by European laboratory directors (or their representatives) outlining prospects for nuclear structure, and the application of symmetry ideas to molecular phenomena. Finally, a special lecture by Nobel laureate Alex Mueller, on s and d wave symmetry in superconductors, presented a unique insight into an allied field.The proceedings have been selected for coverage in:* Index to Scientific & Technical Proceedings� (ISTP� / ISI Proceedings)* Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)* CC Proceedings -- Engineering & Physical Sciences



Symmetries In Atomic Nuclei


Symmetries In Atomic Nuclei
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Author : Alejandro Frank
language : en
Publisher: Springer Nature
Release Date : 2019-08-28

Symmetries In Atomic Nuclei written by Alejandro Frank and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-28 with Science categories.


The revised edition of this established work presents an extended overview of recent applications of symmetry to the description of atomic nuclei, including a pedagogical introduction to symmetry concepts using simple examples. Following a historical overview of the applications of symmetry in nuclear physics, attention turns to more recent progress in the field. Special emphasis is placed on the introduction of neutron-proton and boson-fermion degrees of freedom. Their combination leads to a supersymmetric description of pairs and quartets of nuclei. Expanded and updated throughout, the book now features separate chapters on the nuclear shell model and the interacting boson model, the former including discussion of recent results on seniority in a single-j shell. Both theoretical aspects and experimental signatures of dynamical (super)symmetries are carefully discussed. This book focuses on nuclear structure physics, but its broad scope makes it suitable for final-year or post-graduate students and researchers interested in understanding the power and beauty of symmetry methods in physics. Review of the 1st Edition: "The subject of this book, symmetries in physical systems, with particular focus on atomic nuclei, is of the utmost importance in modern physical science. In contrast to most treatments, frequently characterized by fearsome formalism, this book leads the reader step-by-step, in an easily understandable way, through this fascinating field...this book is remarkably accessible to both theorists and experimentalists. Indeed, I view it as essential reading for experimental nuclear structure physicists. This is one of the finest volumes on this subject I have ever encountered." Prof. R.F. Casten, Yale University



Symmetries And Groups In Contemporary Physics


Symmetries And Groups In Contemporary Physics
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Author : Chengming Bai
language : en
Publisher: World Scientific
Release Date : 2013

Symmetries And Groups In Contemporary Physics written by Chengming Bai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.


This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics.



Computational And Group Theoretical Methods In Nuclear Physics Proceedings Of The Symposium In Honor Of Jerry P Draayer S 60th Birthday


Computational And Group Theoretical Methods In Nuclear Physics Proceedings Of The Symposium In Honor Of Jerry P Draayer S 60th Birthday
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Author : Jorge G Hirsch
language : en
Publisher: World Scientific
Release Date : 2004-02-13

Computational And Group Theoretical Methods In Nuclear Physics Proceedings Of The Symposium In Honor Of Jerry P Draayer S 60th Birthday written by Jorge G Hirsch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-13 with Science categories.


The symposium “Computational and Group-Theoretical Methods in Nuclear Physics” was organized to celebrate the 60th birthday of Jerry P Draayer, who is Professor of Physics, Lousiana State University, and President of the Southeastern Universities Research Association (SURA). The focus of the meeting was on computational and algebraic approaches to the nuclear many-body problem. The presentations highlighted recent experimental and theoretical developments in nuclear structure physics.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences



Magnetism In Metals And Metallic Compounds


Magnetism In Metals And Metallic Compounds
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Author : Jan Lapuszanski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Magnetism In Metals And Metallic Compounds written by Jan Lapuszanski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


The Proceedings presented here contain the notes of lectures delivered during the Eleventh Winter School of Theoretical Physics, held at Karpacz, Poland, February 19 - March 4, 1974. The School was primarily devoted to new concepts in the theory of magnetism in metals, alloys, and metallic compounds, but, as can be seen from the table of contents of the book, other topics of the theory of magnetism were also discussed in the course of the lec tures. The organizers agreed to such a broadening of the scope in order to satisfy particular requests from the Polish participants for whose benefit the School was organized. These "local" interests are clearly reflected in the Proceedings and are responsible for a certain inhomogeneity of the topics selected for presentation. Nevertheless, we have a strong hope that these materials will be interesting to many physicists, not only in Poland, for the subjects discussed here are important not only on the local level, as the lectures contain quite fresh, unpublished results or excellent up to-date reviews. The first part of the volume contains lectures directly cor responding to the title of the School, i.e., selected topics of the theory of metallic magnetism, with slight bias toward rare earth and actinide metals and their compounds. In the second half we have collected the topics more loosely connected with the main stream, such as statistical and thermodynamic aspects of various models, spin-phonon interaction, and others.



The Philosophy And Physics Of Duality


The Philosophy And Physics Of Duality
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Author : Sebastian De Haro
language : en
Publisher: Oxford University Press
Release Date : 2025-07-24

The Philosophy And Physics Of Duality written by Sebastian De Haro and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-24 with Science categories.


The Philosophy and Physics of Duality discusses what dualities are and the philosophical questions that they raise. This book also examines the main examples of duality-from quantum mechanics and electrodynamics to statistical mechanics, quantum field theory, and string theory. Part I conceptualizes dualities and discusses their main roles and themes, including how they are related to familiar notions like symmetry and interpretation. It then goes through the main simple examples of dualities: position-momentum, wave-particle, electric-magnetic, and Kramers-Wannier dualities. Part II discusses advanced examples and their inter-relations: particle-soliton dualities, electric-magnetic dualities in quantum field theories, dualities in string theory, and gauge-gravity duality. Part III offers an in-depth exploration of the general philosophical issues onto which dualities bear: theoretical equivalence, scientific realism and the under-determination of theories by data, theory succession and the M-theory programme, explanation, and scientific understanding. Finally, Sebastian De Haro and Jeremy Butterfield propose a view of scientific theories in this book-they call their account the geometric view of theories. This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read on the Oxford Academic platform and offered as a free PDF download from OUP and selected open access locations.



Differential Equations


Differential Equations
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Author : Hans Stephani
language : en
Publisher: Cambridge University Press
Release Date : 1989

Differential Equations written by Hans Stephani and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


In many branches of physics, mathematics, and engineering, solving a problem means solving a set of ordinary or partial differential equations. Nearly all methods of constructing closed form solutions rely on symmetries. The emphasis in this text is on how to find and use the symmetries; this is supported by many examples and more than 100 exercises. This book will form an introduction accessible to beginning graduate students in physics, applied mathematics, and engineering. Advanced graduate students and researchers in these disciplines will find the book a valuable reference.