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This book is devoted to recent developments in quantum mechanics. After an Introductory chapter, Chapter 2 describes the cooperative spontaneous lasing mechanism in gas in three level systems and their possible quantum retardation effects. Chapter 3 is concerned with the evolution of states of large quantum particle systems via marginal correlation operators. Chapter 4 studies the effects of electronic transfer using ab initio quantum calculation methods to access biological macromolecular system behaviors. Chapter 5 concentrates on new features of supersymmetric quantum mechanics using the adjunction of boson-fermion symmetry. The book will be of interest to graduate and Ph.D students as well as scientists from various backgrounds who are concerned with quantum effects.
Book Synopsis Panorama of Contemporary Quantum Mechanics by : Trong Tuong Truong
Download or read book Panorama of Contemporary Quantum Mechanics written by Trong Tuong Truong and published by BoD – Books on Demand. This book was released on 2019-12-04 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to recent developments in quantum mechanics. After an Introductory chapter, Chapter 2 describes the cooperative spontaneous lasing mechanism in gas in three level systems and their possible quantum retardation effects. Chapter 3 is concerned with the evolution of states of large quantum particle systems via marginal correlation operators. Chapter 4 studies the effects of electronic transfer using ab initio quantum calculation methods to access biological macromolecular system behaviors. Chapter 5 concentrates on new features of supersymmetric quantum mechanics using the adjunction of boson-fermion symmetry. The book will be of interest to graduate and Ph.D students as well as scientists from various backgrounds who are concerned with quantum effects.
This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another not lesser purpose is to collect in one place a number of useful rigorous statements on the mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out to Master's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.
Book Synopsis Spectral Theory and Quantum Mechanics by : Valter Moretti
Download or read book Spectral Theory and Quantum Mechanics written by Valter Moretti and published by Springer Science & Business Media. This book was released on 2013-04-02 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another not lesser purpose is to collect in one place a number of useful rigorous statements on the mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out to Master's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.
Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics. The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts. The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity.
Book Synopsis Coherent States and Their Applications by : Jean-Pierre Antoine
Download or read book Coherent States and Their Applications written by Jean-Pierre Antoine and published by Springer. This book was released on 2018-06-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics. The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts. The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity.
"It is a tour de force that deserves to be treated as a definitive reference to the twentieth century's contribution to our understanding of quantum physics." Europhysics news, Sept/Oct 2001 "It is a comprehensive exposition of many different aspects of modern quantum mechanics I have found this book to be a very good reference for all these topics it can serve as a good overview of many different aspects of quantum mechanics at the postgraduate or advanced undergraduate level." Progress in Quantum Electronics, 2001 " the reader of the book is presented with a most extensive panorama of interesting developments offering original and sometimes quite promising views in the quantum mechanical domain, and also, correlatively, that he is given an access to an exceptionally rich bibliography. These are elements of which it can reasonably be expected that they will substantially help and/or foster further researches." Professor Bernard d'Espagnat Universiti de Paris XI "The book by Auletta is remarkable because it offers the most complete and systematic review from the origins of the theory up to the present day We strongly recommend physicists and philosophers of science alike." Foundations of Physics, Oct 2002
Book Synopsis Foundations and Interpretation of Quantum Mechanics by : Gennaro Auletta
Download or read book Foundations and Interpretation of Quantum Mechanics written by Gennaro Auletta and published by World Scientific Publishing Company Incorporated. This book was released on 2000 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is a tour de force that deserves to be treated as a definitive reference to the twentieth century's contribution to our understanding of quantum physics." Europhysics news, Sept/Oct 2001 "It is a comprehensive exposition of many different aspects of modern quantum mechanics I have found this book to be a very good reference for all these topics it can serve as a good overview of many different aspects of quantum mechanics at the postgraduate or advanced undergraduate level." Progress in Quantum Electronics, 2001 " the reader of the book is presented with a most extensive panorama of interesting developments offering original and sometimes quite promising views in the quantum mechanical domain, and also, correlatively, that he is given an access to an exceptionally rich bibliography. These are elements of which it can reasonably be expected that they will substantially help and/or foster further researches." Professor Bernard d'Espagnat Universiti de Paris XI "The book by Auletta is remarkable because it offers the most complete and systematic review from the origins of the theory up to the present day We strongly recommend physicists and philosophers of science alike." Foundations of Physics, Oct 2002
This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time – who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.
Book Synopsis A Panorama of Modern Operator Theory and Related Topics by : Harry Dym
Download or read book A Panorama of Modern Operator Theory and Related Topics written by Harry Dym and published by Springer Science & Business Media. This book was released on 2012-02-01 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time – who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.
For three days in April of 1985, Cesena (Italy) was the scene of a national conference which was convened, by the Assessorato alia Cultura of this town under the auspices of the Societa Italiana di Logica e Filosofia delle Scienze (SILFS), in order to celebrate two historical milestones: the centenary of the birth of Niels Bohr, who was to become the leader of the orthodox, or Copenhagen, interpretation of quantum theory, and the fiftieth anniversary of the publication of the most influential challenge to this interpretation which was contained in the well-known paper coauthored by Einstein, Podolsky, and Rosen. The proceedings of the Cesena meeting, which are collected in the present volume, are intended to provide an exhaustive and panoramic view of the most recent investigations carried out by Italian scientists and philo sophers engaged in research on the foundations of quantum physics. What emerges is a critical review of, and alternative approaches to, the orthodox interpretation of the Copenhagen school.
Book Synopsis The Nature of Quantum Paradoxes by : G. Tarozzi
Download or read book The Nature of Quantum Paradoxes written by G. Tarozzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: For three days in April of 1985, Cesena (Italy) was the scene of a national conference which was convened, by the Assessorato alia Cultura of this town under the auspices of the Societa Italiana di Logica e Filosofia delle Scienze (SILFS), in order to celebrate two historical milestones: the centenary of the birth of Niels Bohr, who was to become the leader of the orthodox, or Copenhagen, interpretation of quantum theory, and the fiftieth anniversary of the publication of the most influential challenge to this interpretation which was contained in the well-known paper coauthored by Einstein, Podolsky, and Rosen. The proceedings of the Cesena meeting, which are collected in the present volume, are intended to provide an exhaustive and panoramic view of the most recent investigations carried out by Italian scientists and philo sophers engaged in research on the foundations of quantum physics. What emerges is a critical review of, and alternative approaches to, the orthodox interpretation of the Copenhagen school.
``Rabindranath Tagores Epic Life Spanned The Last Four Decades Of The 19Th Century And The First Four Of The 20Th. Possibly The Most Versatile Aesthetic Genius India Has Produced, He Was A School Dropout Who Became In 1913 The First Asian To Be Awarded The Nobel Prize For Literature For English Translations Of His Own Poems, Gitanjali(``Offerings Of Song``).But The Fine Arts Were Not His Sole Concern. Tagore Was Deeply Involved In The Swadeshi And Freedom Movements. The Appellative``Mahatma``By Which Gandhi Is Known World-Wide Was Given To Him By His Respected Mentor Tagore. Whom He Addressed As``Gurudev``. Subhas Bose And Nehru Had Profound Admiration For Him. In Protest Against The Jalianwala Bagh Atrocities He Relinquished The Knighthood Conferred Upon Him By The British Government.He Was A Pioneer In Experimenting With Grassroots Co-Operatives For Rural Reconstruction. Aworid-Wide Traveller, He Conceived Of A Universal University (Vishva Bharati) At Shantiniketan As A Meeting Ground Of The Best Of The East And The West To Develop The Complete Man. Tagore Is The Only Poet Whose Compositions Have Been Chosen By Two Countries As Their National Anthems: India Andbangladesh.``
Book Synopsis Human Values: the Tagorean Panorama by : Chakraborty S K
Download or read book Human Values: the Tagorean Panorama written by Chakraborty S K and published by New Age International. This book was released on 1996 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``Rabindranath Tagores Epic Life Spanned The Last Four Decades Of The 19Th Century And The First Four Of The 20Th. Possibly The Most Versatile Aesthetic Genius India Has Produced, He Was A School Dropout Who Became In 1913 The First Asian To Be Awarded The Nobel Prize For Literature For English Translations Of His Own Poems, Gitanjali(``Offerings Of Song``).But The Fine Arts Were Not His Sole Concern. Tagore Was Deeply Involved In The Swadeshi And Freedom Movements. The Appellative``Mahatma``By Which Gandhi Is Known World-Wide Was Given To Him By His Respected Mentor Tagore. Whom He Addressed As``Gurudev``. Subhas Bose And Nehru Had Profound Admiration For Him. In Protest Against The Jalianwala Bagh Atrocities He Relinquished The Knighthood Conferred Upon Him By The British Government.He Was A Pioneer In Experimenting With Grassroots Co-Operatives For Rural Reconstruction. Aworid-Wide Traveller, He Conceived Of A Universal University (Vishva Bharati) At Shantiniketan As A Meeting Ground Of The Best Of The East And The West To Develop The Complete Man. Tagore Is The Only Poet Whose Compositions Have Been Chosen By Two Countries As Their National Anthems: India Andbangladesh.``
Book Synopsis Modern quantum mechanics by : Jun John Sakurai
Download or read book Modern quantum mechanics written by Jun John Sakurai and published by . This book was released on 2005 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
In the last few decades quantum theory has experienced an extensive revival owing to the rapid development of quantum information and quantum technologies. Based on a series of courses taught by the authors, the book takes the reader on a journey from the beginnings of quantum theory in the early twentieth century to the realm of quantum-information processing in the twenty-first. The central aim of this textbook, therefore, is to offer a detailed introduction to quantum theory that covers both physical and information-theoretic aspects, with a particular focus on the concept of entanglement and its characteristics, variants, and applications. Suitable for undergraduate students in physics and related subjects who encounter quantum mechanics for the first time, this book also serves as a resource for graduate students who want to engage with more advanced topics, offering a collection of derivations, proofs, technical methods, and references for graduate students and more experienced readers engaged with teaching and active research. The book is divided into three parts: Part I - Quantum Mechanics, Part II - Entanglement and Non-Locality, and Part III - Advanced Topics in Modern Quantum Physics. Part I provides a modern view on quantum mechanics, a central topic of theoretical physics. Part II is dedicated to the foundations of quantum mechanics and entanglement: starting with density operators, hidden-variable theories, the Einstein-Podolsky-Rosen Paradox, and Bell Inequalities, but also touching upon philosophical questions, followed by a deeper study of entanglement-based quantum communication protocols like teleportation, before giving a detailed exposition of entanglement theory, including tools for the detection and quantification of entanglement. Part III is intended as a collection of standalone chapters to supplement the contents of Parts I and II, covering more advanced topics such as classical and quantum entropies, quantum operations and measurements, decoherence, quantum metrology and quantum optics, and entanglement in particle physics.
Book Synopsis Modern Quantum Theory by : Reinhold Bertlmann
Download or read book Modern Quantum Theory written by Reinhold Bertlmann and published by Oxford University Press. This book was released on 2023-10-05 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades quantum theory has experienced an extensive revival owing to the rapid development of quantum information and quantum technologies. Based on a series of courses taught by the authors, the book takes the reader on a journey from the beginnings of quantum theory in the early twentieth century to the realm of quantum-information processing in the twenty-first. The central aim of this textbook, therefore, is to offer a detailed introduction to quantum theory that covers both physical and information-theoretic aspects, with a particular focus on the concept of entanglement and its characteristics, variants, and applications. Suitable for undergraduate students in physics and related subjects who encounter quantum mechanics for the first time, this book also serves as a resource for graduate students who want to engage with more advanced topics, offering a collection of derivations, proofs, technical methods, and references for graduate students and more experienced readers engaged with teaching and active research. The book is divided into three parts: Part I - Quantum Mechanics, Part II - Entanglement and Non-Locality, and Part III - Advanced Topics in Modern Quantum Physics. Part I provides a modern view on quantum mechanics, a central topic of theoretical physics. Part II is dedicated to the foundations of quantum mechanics and entanglement: starting with density operators, hidden-variable theories, the Einstein-Podolsky-Rosen Paradox, and Bell Inequalities, but also touching upon philosophical questions, followed by a deeper study of entanglement-based quantum communication protocols like teleportation, before giving a detailed exposition of entanglement theory, including tools for the detection and quantification of entanglement. Part III is intended as a collection of standalone chapters to supplement the contents of Parts I and II, covering more advanced topics such as classical and quantum entropies, quantum operations and measurements, decoherence, quantum metrology and quantum optics, and entanglement in particle physics.
The quantum theory of macroscopic systems is a vast, ever-developing area of science that serves to relate the properties of complex physical objects to those of their constituent particles. Its essential challenge is that of finding the conceptual structures needed for the description of the various states of organization of many-particle quantum systems. In this book, Geoffrey Sewell provides a new approach to the subject, based on a "macrostatistical mechanics," which contrasts sharply with the standard microscopic treatments of many-body problems. Sewell begins by presenting the operator algebraic framework for the theory. He then undertakes a macrostatistical treatment of both equilibrium and nonequilibrium thermodynamics, which yields a major new characterization of a complete set of thermodynamic variables and a nonlinear generalization of the Onsager theory. The remainder of the book focuses on ordered and chaotic structures that arise in some key areas of condensed matter physics. This includes a general derivation of superconductive electrodynamics from the assumptions of off-diagonal long-range order, gauge covariance, and thermodynamic stability, which avoids the enormous complications of the microscopic treatments. Sewell also unveils a theoretical framework for phase transitions far from thermal equilibrium. Throughout, the mathematics is kept clear without sacrificing rigor. Representing a coherent approach to the vast problem of the emergence of macroscopic phenomena from quantum mechanics, this well-written book is addressed to physicists, mathematicians, and other scientists interested in quantum theory, statistical physics, thermodynamics, and general questions of order and chaos.
Book Synopsis Quantum Mechanics and Its Emergent Macrophysics by : Geoffrey Sewell
Download or read book Quantum Mechanics and Its Emergent Macrophysics written by Geoffrey Sewell and published by Princeton University Press. This book was released on 2020-11-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum theory of macroscopic systems is a vast, ever-developing area of science that serves to relate the properties of complex physical objects to those of their constituent particles. Its essential challenge is that of finding the conceptual structures needed for the description of the various states of organization of many-particle quantum systems. In this book, Geoffrey Sewell provides a new approach to the subject, based on a "macrostatistical mechanics," which contrasts sharply with the standard microscopic treatments of many-body problems. Sewell begins by presenting the operator algebraic framework for the theory. He then undertakes a macrostatistical treatment of both equilibrium and nonequilibrium thermodynamics, which yields a major new characterization of a complete set of thermodynamic variables and a nonlinear generalization of the Onsager theory. The remainder of the book focuses on ordered and chaotic structures that arise in some key areas of condensed matter physics. This includes a general derivation of superconductive electrodynamics from the assumptions of off-diagonal long-range order, gauge covariance, and thermodynamic stability, which avoids the enormous complications of the microscopic treatments. Sewell also unveils a theoretical framework for phase transitions far from thermal equilibrium. Throughout, the mathematics is kept clear without sacrificing rigor. Representing a coherent approach to the vast problem of the emergence of macroscopic phenomena from quantum mechanics, this well-written book is addressed to physicists, mathematicians, and other scientists interested in quantum theory, statistical physics, thermodynamics, and general questions of order and chaos.
