Panorama of Contemporary Quantum Mechanics
Panorama of Contemporary Quantum Mechanics

Author: Trong Tuong Truong

Publisher: BoD – Books on Demand

Published: 2019-12-04

Total Pages: 110

ISBN-13: 1839626658

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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.

Spectral Theory and Quantum Mechanics
Spectral Theory and Quantum Mechanics

Author: Valter Moretti

Publisher: Springer Science & Business Media

Published: 2013-04-02

Total Pages: 742

ISBN-13: 8847028353

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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.

A Panorama of Modern Operator Theory and Related Topics
A Panorama of Modern Operator Theory and Related Topics

Author: Harry Dym

Publisher: Springer Science & Business Media

Published: 2012-02-01

Total Pages: 635

ISBN-13: 3034802218

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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.

Human Values: the Tagorean Panorama
Human Values: the Tagorean Panorama

Author: Chakraborty S K

Publisher: New Age International

Published: 1996

Total Pages: 406

ISBN-13: 9788122405248

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``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.``

Conférence Moshé Flato 1999
Conférence Moshé Flato 1999

Author: Giuseppe Dito

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 345

ISBN-13: 9401512760

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These two volumes constitute the Proceedings of the `Conférence Moshé Flato, 1999'. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. Volume I is prefaced by reminiscences of and tributes to Flato's life and work. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena. Audience: These volumes will be of interest to researchers and graduate students in a variety of domains, ranging from abstract mathematics to theoretical physics and other applications. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity.

HISTORY AND PHILOSOPHY OF SCIENCE AND TECHNOLOGY -Volume I
HISTORY AND PHILOSOPHY OF SCIENCE AND TECHNOLOGY -Volume I

Author: Pablo Lorenzano

Publisher: EOLSS Publications

Published: 2010-09-27

Total Pages: 402

ISBN-13: 1848263236

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History and Philosophy of Science and Technology is a component of Encyclopedia of Physical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on History and Philosophy of Science and Technology in four volumes covers several topics such as: Introduction to the Philosophy of Science; The Nature and Structure of Scientific Theories Natural Science; A Short History of Molecular Biology; The Structure of the Darwinian Argument In The Origin of Species; History of Measurement Theory; Episodes of XX Century Cosmology: A Historical Approach; Philosophy of Economics; Social Sciences: Historical And Philosophical Overview of Methods And Goals; Introduction to Ethics of Science and Technology; The Ethics of Science and Technology; The Control of Nature and the Origins of The Dichotomy Between Fact And Value; Science and Empires: The Geo-Epistemic Location of Knowledge; Science and Religion; Scientific Knowledge and Religious Knowledge - Significant Epistemological Reference Points; Thing Called Philosophy of Technology; Transitions from Function-Oriented To Effect-Oriented Technologies. Some Thought on the Nature of Modern Technology; Technical Agency and Sources of Technological Pessimism These four volumes are aimed at a broad spectrum of audiences: University and College Students, Educators and Research Personnel.

Classical and Quantum Black Holes
Classical and Quantum Black Holes

Author: P Fre

Publisher: CRC Press

Published: 1999-09-01

Total Pages: 370

ISBN-13: 9781420050684

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Black holes are becoming increasingly important in contemporary research in astrophysics, cosmology, theoretical physics, and mathematics. Indeed, they provoke some of the most fascinating questions in fundamental physics, which may lead to revolutions in scientific thought. Written by distinguished scientists, Classical and Quantum Black Holes provides a comprehensive panorama of black hole physics and mathematics from a modern point of view. The book begins with a general introduction, followed by five parts that cover several modern aspects of the subject, ranging from the observational and the experimental to the more theoretical and mathematical issues. The material is written at a level suitable for postgraduate students entering the field.

Analysis and Operator Theory
Analysis and Operator Theory

Author: Themistocles M. Rassias

Publisher: Springer

Published: 2019-05-31

Total Pages: 419

ISBN-13: 3030126617

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Dedicated to Tosio Kato’s 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics. Survey papers and in-depth technical papers emphasize linear and nonlinear analysis, operator theory, partial differential equations, and functional analysis including nonlinear evolution equations, the Korteweg–de Vries equation, the Navier–Stokes equation, and perturbation theory of linear operators. The Kato inequality, the Kato type matrix limit theorem, the Howland–Kato commutator problem, the Kato-class of potentials, and the Trotter–Kato product formulae are discussed and analyzed. Graduate students, research mathematicians, and applied scientists will find that this book provides comprehensive insight into the significance of Tosio Kato’s impact to research in analysis and operator theory.

Quantum Probability and Spectral Analysis of Graphs
Quantum Probability and Spectral Analysis of Graphs

Author: Akihito Hora

Publisher: Springer Science & Business Media

Published: 2007-07-05

Total Pages: 384

ISBN-13: 3540488634

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This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.

Foundations and Interpretation of Quantum Mechanics
Foundations and Interpretation of Quantum Mechanics

Author: Gennaro Auletta

Publisher: World Scientific

Published: 2001

Total Pages: 1030

ISBN-13: 9789810246143

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The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years.There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of ?Schr”dinger cats?; recent developments which allow, for the first time, the simultaneous measurement of complementary observables; quantum information processing, teleportation and computation.To accomplish this task, the book combines historical, systematic and thematic approaches.