Embedded Random Matrix Ensembles in Quantum Physics

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Author :
Publisher : Springer
ISBN 13 : 3319045679
Total Pages : 402 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Embedded Random Matrix Ensembles in Quantum Physics by : V.K.B. Kota

Download or read book Embedded Random Matrix Ensembles in Quantum Physics written by V.K.B. Kota and published by Springer. This book was released on 2014-07-08 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand. One refinement which retains the basic stochastic approach but allows for such features consists in the use of embedded ensembles. The present text is an exhaustive introduction to and survey of this important field. Starting with an easy-to-read introduction to general random matrix theory, the text then develops the necessary concepts from the beginning, accompanying the reader to the frontiers of present-day research. With some notable exceptions, to date these ensembles have primarily been applied in nuclear spectroscopy. A characteristic example is the use of a random two-body interaction in the framework of the nuclear shell model. Yet, topics in atomic physics, mesoscopic physics, quantum information science and statistical mechanics of isolated finite quantum systems can also be addressed using these ensembles. This book addresses graduate students and researchers with an interest in applications of random matrix theory to the modeling of more complex physical systems and interactions, with applications such as statistical spectroscopy in mind.

Embedded Random Matrix Ensembles in Quantum Physics

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Author :
Publisher : Springer
ISBN 13 : 9783319045689
Total Pages : 402 pages
Book Rating : 4.0/5 (456 download)

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Book Synopsis Embedded Random Matrix Ensembles in Quantum Physics by : Venkata Krishna Brahmam Kota

Download or read book Embedded Random Matrix Ensembles in Quantum Physics written by Venkata Krishna Brahmam Kota and published by Springer. This book was released on 2014-03-08 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand. One refinement which retains the basic stochastic approach but allows for such features consists in the use of embedded ensembles. The present text is an exhaustive introduction to and survey of this important field. Starting with an easy-to-read introduction to general random matrix theory, the text then develops the necessary concepts from the beginning, accompanying the reader to the frontiers of present-day research. With some notable exceptions, to date these ensembles have primarily been applied in nuclear spectroscopy. A characteristic example is the use of a random two-body interaction in the framework of the nuclear shell model. Yet, topics in atomic physics, mesoscopic physics, quantum information science and statistical mechanics of isolated finite quantum systems can also be addressed using these ensembles. This book addresses graduate students and researchers with an interest in applications of random matrix theory to the modeling of more complex physical systems and interactions, with applications such as statistical spectroscopy in mind.

SU(3) Symmetry in Atomic Nuclei

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Author :
Publisher : Springer Nature
ISBN 13 : 9811536031
Total Pages : 297 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis SU(3) Symmetry in Atomic Nuclei by : V. K. B. Kota

Download or read book SU(3) Symmetry in Atomic Nuclei written by V. K. B. Kota and published by Springer Nature. This book was released on 2020-04-02 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an understandable review of SU(3) representations, SU(3) Wigner–Racah algebra and the SU(3) ⊃ SO(3) integrity basis operators, which are often considered to be difficult and are avoided by most nuclear physicists. Explaining group algebras that apply to specific physical systems and discussing their physical applications, the book is a useful resource for researchers in nuclear physics. At the same time it helps experimentalists to interpret data on rotational nuclei by using SU(3) symmetry that appears in a variety of nuclear models, such as the shell model, pseudo-SU(3) model, proxy-SU(3) model, symplectic Sp(6, R) model, various interacting boson models, various interacting boson–fermion models, and cluster models. In addition to presenting the results from all these models, the book also describes a variety of statistical results that follow from the SU(3) symmetry.

Random Matrix Models and Their Applications

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521802093
Total Pages : 454 pages
Book Rating : 4.8/5 (2 download)

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Book Synopsis Random Matrix Models and Their Applications by : Pavel Bleher

Download or read book Random Matrix Models and Their Applications written by Pavel Bleher and published by Cambridge University Press. This book was released on 2001-06-04 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expository articles on random matrix theory emphasizing the exchange of ideas between the physical and mathematical communities.

Mesoscopic Nuclear Physics: From Nucleus To Quantum Chaos To Quantum Signal Transmission

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Author :
Publisher : World Scientific
ISBN 13 : 9811263167
Total Pages : 190 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mesoscopic Nuclear Physics: From Nucleus To Quantum Chaos To Quantum Signal Transmission by : Vladimir Zelevinsky

Download or read book Mesoscopic Nuclear Physics: From Nucleus To Quantum Chaos To Quantum Signal Transmission written by Vladimir Zelevinsky and published by World Scientific. This book was released on 2023-02-16 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the recent development of nuclear science as an important part of mesoscopic physics, the intermediate world between the macroscopic and microscopic. This fast developing area with many practical applications includes complex atoms, molecules (including biological), nuclei, small-scale solid state systems, and future quantum computers. The complexity of the problem appears due to the richness of problems, from the necessity to study individual quantum levels, to the fundamental features of statistics and thermodynamics.

Physics of Atomic Nuclei

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 3527413502
Total Pages : 686 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Physics of Atomic Nuclei by : Vladimir Zelevinsky

Download or read book Physics of Atomic Nuclei written by Vladimir Zelevinsky and published by John Wiley & Sons. This book was released on 2017-06-19 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook presents an extensive and diverse study of low-energy nuclear physics considering the nucleus as a quantum system of strongly interacting constituents. The contents guide students from the basic facts and ideas to more modern topics including important developments over the last 20 years, resulting in a comprehensive collection of major modern-day nuclear models otherwise unavailable in the current literature. The book emphasizes the common features of the nucleus and other many-body mesoscopic systems currently in the center of interest in physics. The authors have also included full problem sets that can be selected by lecturers and adjusted to specific interests for more advanced students, with many chapters containing links to freely available computer code. As a result, readers are equipped for scientific work in mesoscopic physics.

Spectral Distributions in Nuclei and Statistical Spectroscopy

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Author :
Publisher : World Scientific
ISBN 13 : 9814287393
Total Pages : 716 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Spectral Distributions in Nuclei and Statistical Spectroscopy by : V. K. B. Kota

Download or read book Spectral Distributions in Nuclei and Statistical Spectroscopy written by V. K. B. Kota and published by World Scientific. This book was released on 2010 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book a first comprehensive review on statistical spectroscopy deals with two related yet distinct topics a" averages and fluctuations. While fluctuations have been dealt with in considerable detail in Porter's book entitled Statistical Theories of Spectra: Fluctuations and subsequent reviews and books there does not exist at present a similar treatise on averages. This unique volume is designed to fill this significant gap.The book begins with an introductory review and overview of the subject of spectral distributions initiated by J Bruce French in the 60's followed by a collection of original papers which continue to give new insight on average properties of spectra. The purpose is to highlight the considerable advancements made in the application of statistical spectroscopy to nuclear structure and to encourage new directions in random matrix theory many-body chaos and statistical mechanics of finite quantum systems such as nuclei atoms molecules quantum dots etc.Along with Wong's book entitled Nuclear Statistical Spectroscopy this volume would be useful to a reader looking for a thorough introduction to the subject as well as to the specialist contemplating new applications. Finally with most of the material available in one place this book would be ideal in the design of graduate courses in statistical spectroscopy suited to specific needs.

Structure of Medium Mass Nuclei

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Author :
Publisher : CRC Press
ISBN 13 : 1351736930
Total Pages : 223 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Structure of Medium Mass Nuclei by : V K B Kota

Download or read book Structure of Medium Mass Nuclei written by V K B Kota and published by CRC Press. This book was released on 2016-12-12 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medium heavy nuclei with mass number A=60-90 exhibit a variety of complex collective properties, provide a laboratory for double beta decay studies, and are a region of all heavy N=Z nuclei. This book discusses these three aspects of nuclear structure using Deformed Shell Model and the Spin-Isospin Invariant Interacting Boson Model naturally generated by fermionic SO(8) symmetry. Using these two models, the book describes properties of medium heavy nuclei with mass number A=60-90. It provides a good reference for future nuclear structure experiments using radioactive ion beam (RIB) facilities. Various results obtained by the authors and other research groups are also explained in this book.

Emerging Trends in Advanced Spectroscopy

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Publisher : CRC Press
ISBN 13 : 1000793591
Total Pages : 263 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Emerging Trends in Advanced Spectroscopy by : Yang Weiman

Download or read book Emerging Trends in Advanced Spectroscopy written by Yang Weiman and published by CRC Press. This book was released on 2022-09-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental studies carried out by a spectroscopic approach, and the techniques used for investigating the acquired information, can be given a robust modern analytical framework in the design of new materials, and for emphasis on the expansion of physical foundations of new materials. Emerging Trends in Advanced Spectroscopy may help to understand the applications of spectroscopic tools in material characterization. The text also shows how different spectroscopic methods are used by researchers worldwide, and how we can correlate the experimental observations with structural information.Technical topics discussed in the book include:  Geometries, electronic structures and vibrational spectral studies  Advanced spectroscopic techniques in polymer chemistry Spectroscopic portrayals of graphitic structures fluorescent metal nanoclusters as sensory probes for metal ions colorimetric chemo sensor  Nano mixed ferrites and their applications to nanoelectronics  Solid phase astrochemistry

Equilibrium and Nonequilibrium Statistical Mechanics: Principles and Concepts

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Author :
Publisher : Avijit Lahiri
ISBN 13 :
Total Pages : 1623 pages
Book Rating : 4./5 ( download)

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Book Synopsis Equilibrium and Nonequilibrium Statistical Mechanics: Principles and Concepts by : Avijit Lahiri

Download or read book Equilibrium and Nonequilibrium Statistical Mechanics: Principles and Concepts written by Avijit Lahiri and published by Avijit Lahiri. This book was released on 2023-10-14 with total page 1623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equilibrium and Non-equilibrium Statistical Mechanics is a source-book of great value to college and university students embarking upon a serious reading of Statistical Mechanics, and is likely to be of interest to teachers of the subject as well. Written in a lucid style, the book builds up the subject from basics, and goes on to quite advanced and modern developments, giving an overview of the entire framework of statistical mechanics. The equilibrium ensembles of quantum and classical statistical mechanics are introduced at length, indicating their relation to equilibrium states of thermodynamic systems, and the applications of these ensembles in the case of the ideal gas are worked out, pointing out the relevance of the ideal gas in respect of a number of real-life systems. The application to interacting systems is then taken up by way of explaining the virial expansion of a dilute gas. The book then deals with a number of foundational questions relating to the existence of the thermodynamic limit and to the equivalence of the various equilibrium ensembles. The relevance of the thermodynamic limit in explaining phase transitions is indicated with reference to the Yang-Lee theory and the Kirkwood-Salsburg equations for correlation functions. The statistical mechanics of interacting systems is then taken up again, with reference to the 1D and 2D Ising model and to the spin glass model of disordered systems. Applications of the Mean field theory are worked out, explaining the Landau-Ginzburg theory, which is then followed by the renormalization group approach to phase transitions. Interacting systems in the quantum context are referred to, addressing separately the cases of interacting bosons and fermions. The case of the weakly interacting bosons is explained in details, while the Landau theory for fermi liquids is also explained in outline. The book then goes on to a modern but readable account of non-equilibrium statistical mechanics, explaining the link with irreversible thermodynamcs. After an exposition of the Boltzmann equations and the linear response theory illustrated with reference to the hydrodynamic model, it explains the statistical mechanics of reduced systems, in the context of a number of reduction schemes. This is followed by an account of the relevance of dynamical chaos in laying down the foundations of classical statistical mechanics, where the SRB distributon is introduced in the context of non-equilibrium steady states, with reference to which the principle of minimum entropy production is explaned. A number of basic fluctuation relations are then worked out, pointing out their relation to irreversible thermodynamics. Finally, the book explains the relevance of quantum chaos in addressing foundational issues in quantum statistical mechanics, beginning with Berry’s conjecture and then going on to an exposition of the eigenstate thermalization (ETH) hypothesis, indicating how the latter is relevant in explaining the processes of equilibriation and thermalization in thermodynamic systems and their sub-systems.

Contemporary Nuclear Physics

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Publisher : CRC Press
ISBN 13 : 9780849317101
Total Pages : 388 pages
Book Rating : 4.3/5 (171 download)

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Book Synopsis Contemporary Nuclear Physics by : C. R. Praharaj

Download or read book Contemporary Nuclear Physics written by C. R. Praharaj and published by CRC Press. This book was released on 2003-09 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed papers presented at the National Seminar on "Contemporary Nuclear Physics", held at the Institute of Physics, Bhubaneswar.

Applications of Random Matrices in Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 140204531X
Total Pages : 519 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Applications of Random Matrices in Physics by : Édouard Brezin

Download or read book Applications of Random Matrices in Physics written by Édouard Brezin and published by Springer Science & Business Media. This book was released on 2006-07-03 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics. It can be useful to the specialists in various subjects using random matrices, from PhD students to confirmed scientists.

Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory

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Author :
Publisher : Springer Nature
ISBN 13 : 3030354733
Total Pages : 408 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory by : Alvaro Ferraz

Download or read book Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory written by Alvaro Ferraz and published by Springer Nature. This book was released on 2020-02-29 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a selection of advanced lectures from leading researchers, providing recent theoretical results on strongly coupled quantum field theories. It also analyzes their use for describing new quantum states, which are physically realizable in condensed matter, cold-atomic systems, as well as artificial materials. It particularly focuses on the engineering of these states in quantum devices and novel materials useful for quantum information processing. The book offers graduate students and young researchers in the field of modern condensed matter theory an updated review of the most relevant theoretical methods used in strongly coupled field theory and string theory. It also provides the tools for understanding their relevance in describing the emergence of new quantum states in a variety of physical settings. Specifically, this proceedings book summarizes new and previously unrelated developments in modern condensed matter physics, in particular: the interface of condensed matter theory and quantum information theory; the interface of condensed matter physics and the mathematics emerging from the classification of the topological phases of matter, such as topological insulators and topological superconductors; and the simulation of condensed matter systems with cold atoms in optical lattices.

Introduction to Random Time and Quantum Randomness

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Author :
Publisher : World Scientific
ISBN 13 : 9789812384157
Total Pages : 228 pages
Book Rating : 4.3/5 (841 download)

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Book Synopsis Introduction to Random Time and Quantum Randomness by : Kai Lai Chung

Download or read book Introduction to Random Time and Quantum Randomness written by Kai Lai Chung and published by World Scientific. This book was released on 2003 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K L Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown. In the second essay J-C Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested.

Quantum Chaos Y2K

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Author :
Publisher : World Scientific
ISBN 13 : 9810247117
Total Pages : 286 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Quantum Chaos Y2K by : Karl-Fredrik Berggren

Download or read book Quantum Chaos Y2K written by Karl-Fredrik Berggren and published by World Scientific. This book was released on 2001 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum chaos is becoming a very wide field that ranges from experiments to theoretical physics and purely mathematical issues. In view of this grand span, Nobel Symposium 116 focused on experiments and theory, and attempted to encourage interplay between them. There was emphasis on the interdisciplinary character of the subject, involving a broad range of subjects in physics, including condensed matter physics, nuclear physics, atomic physics and elementary particle physics. The physics involved in quantum chaos has much in common with acoustics, microwaves, optics, etc., and therefore the symposium also covered aspects of wave chaos in this broader sense. The program was structured according to the following areas: manifestations of classical chaos in quantum systems; transport phenomena; quantal spectra in terms of periodic orbits; semiclassical and random matrix approaches; quantum chaos in interacting systems; chaos and tunneling; wave-dynamic chaos. This important book constitutes the proceedings of the symposium.

An Introduction to Random Matrices

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521194520
Total Pages : 507 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis An Introduction to Random Matrices by : Greg W. Anderson

Download or read book An Introduction to Random Matrices written by Greg W. Anderson and published by Cambridge University Press. This book was released on 2010 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.

Random Matrix Theory, Interacting Particle Systems and Integrable Systems

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Publisher : Cambridge University Press
ISBN 13 : 1107079926
Total Pages : 539 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Random Matrix Theory, Interacting Particle Systems and Integrable Systems by : Percy Deift

Download or read book Random Matrix Theory, Interacting Particle Systems and Integrable Systems written by Percy Deift and published by Cambridge University Press. This book was released on 2014-12-15 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles.