This book provides an interdisciplinary approach to one of the most fascinating and important open questions in science: What is quantum mechanics really talking about? In the last decades quantum mechanics has given rise to a new quantum technological era, a revolution taking place today especially within the field of quantum information processing; which goes from quantum teleportation and cryptography to quantum computation. Quantum theory is probably our best confirmed physical theory. However, in spite of its great empirical effectiveness it stands today still without a universally accepted physical representation that allows us to understand its relation to the world and reality.The novelty of the book comes from the multiple perspectives put forward by top researchers in quantum mechanics, from Europe as well as North and South America, discussing the meaning and structure of the theory of quanta. The book comprises in a balanced manner physical, philosophical, logical and mathematical approaches to quantum mechanics and quantum information. Going from quantum superpositions and entanglement to dynamics and the problem of identity; from quantum logic, computation and quasi-set theory to the category approach and teleportation; from realism and empiricism to operationalism and instrumentalism; the book considers from different angles some of the most intriguing questions in the field.From Buenos Aires to Brussels and Cagliari, from Florence to Florianopolis, the interaction between different groups is reflected in the many different articles. This book is interesting not only to the specialists but also to the general public attempting to get a grasp on some of the most fundamental questions of present quantum physics.

Structured singular light is an ubiquitous phenomenon. It is not only created when light refracts at a water surface but can also be found in the blue daytime sky. Such light fields include a spatially varying amplitude, phase, or polarization, enabling the occurrence of optical singularities. As structurally stable units of the light field, these singularities are particularly interesting since they determine its topology. In this excellent book, the author presents a pioneering study of structured singular light, thereby contributing many original approaches. Especially in the field of polarization and its rich number of different types of singularities the book defines and drives a completely new field. The work demonstrates how to control complex polarization singularity networks and their propagation. Additionally, the author pioneers tightly focusing vectorial beams, also developing an urgently needed detection scheme for three-dimensional nanoscale polarization structures. She also studies classical spatial entanglement using structured light, introducing entanglement beating and paraxial spin-orbit-coupling. The book is hallmarked by its comprehensive and thorough way of describing a plethora of different approaches to structure light by amplitude, phase and polarization, as well as the important role of optical singularities.

Quantum Communication and Information Theory: Information Theoretic Interpretations of von Neumann Entropy; R. Jozsa. Quantum Information Theory, the Entropy Bound, and Mathematical Rigor in Physics; H.P. Yuen. Classical and Quantum Information Transmission and Interactions; C.H. Bennett. Bounds of the Accessible Information under the Influence of Thermal Noise; M. Ban, et al. Quantum Computing: Quantum Computing and Decoherence in Quantum Optical Systems; J.I. Cirac, et al. Unitary Dynamics for Quantum Codewords; A. Peres. Quantum Error Correction with Imperfect Gates; A.Y. Kitaev. Eliminating the Effects of Spontaneous Emission in Quantum Computations with Cold Trapped Ions; C. D'Helon, G.J. Milburn. Quantum Measurement Theory and Statistical Physics: On Covariant Instruments in Quantum Measurement Theory; A.S. Holevo. Quantum State Reduction and the Quantum Bayes Principle; M. Ozawa. On the Quantum Theory of Direct Detection; A. Barchielli. Homodyning as Universal Detection; G.M. D'Ariano. Quantum Optics: Atom Lasers; C.M. Savage, et al. Measurement of Quantum Phase Distribution by Projection Synthesis; D.t. Pegg, S.M. Barnett. Quantum Optical Phase; S.M. Barnett, D.T. Pegg. 42 Additional Articles. Index.

There are very few with Philip Morrison's gifts, few who can lead us with firm knowledge whispering just the right encouragement as he guides us across the great ideas of science. Take this journey with one of the most astute navigators and you'll find yourself compelled to go deeper into some of the most daring adventures of modern science. Nothing is too grand or seemingly too trivial - the nature of time, the fabric of the atom, what it means to explore scientific horizons, the galaxies, even the search for unknown intelligence in the vast as-yet-uncharted universe. Then as deftly as Morrison takes us on a dazzling tour of the stars, he gently settles down for an intimate stop in the nursery where children have their first encounters with the things of everyday life, everyday things that cause us to wonder and make for discovery. With an equally firm grasp, Morrison, who witnessed the first tests of the atom bomb, takes us unflinchingly through some of the most frightening terrain of modern times, where the arms race can cause our ultimate destruction, but where sanity can still bring us peace. This extraordinary collection of essays by one of the most profound commentators on the successes and failures of the scientific enterprize concludes with lively portraits of men of science - Neils Bohr, Richard Feynman, Charles Babbage, among other notable friends and heroes.

This book is written from the viewpoint of a person standing with one foot in physics and the other in radiation oncology, trying to help practitioners in one field understand the problems of, and find solutions for, practitioners in the other. It should therefore be of interest both to radiation oncologists and medial physicists. The book is written in such a way that it should be of use both to beginners and to those with experience in either field - and even, perhaps, to those who are contemplating entering one of them. The goal is not to give formal and complete developments of the topics covered - these are covered in standard textbooks - but to develop a foundation for understanding them. The presentations cover the principle physical and biological aspects of radiation therapy and address practical clinical considerations in planning and delivering therapy. The importance of the assessment of uncertainties is emphasized. with matter; the definition of the goals and the design of radiation therapy approaches; proton therapy; living with uncertainty; biophysical models of radiation damage; computer-based optimization of treatments; and the reporting of results.Its approach can perhaps best be defined in terms of what it is not: The book is not a textbook; no attempt has been made to be objective. Rather, it presents the author's ideas about a number of matters of importance in Radiation Oncology. areas in which the author has personal experience. Formulae, and quantitation, in general, have been avoided in the belief that an understanding of the majority of important medical and biological issues generally cannot be achieved through mathematical relationships. The book is written with three goals in mind. The first of these is to arm its readers to better know why they can or should do, or not do, certain things in the course of treating a cancer. The second and complimentary goal is to encourage the asking of the question why not? in the face of assertions that some proposal is impractical, unreasonable or impossible. use of radiation in the treatment of cancer with understanding, confidence and imagination - with the aim of improving treatment outcomes for patients.

We have lost one of the giants of the twentieth century physics when Yoichiro Nambu passed away in July, 2015, at the age of 94.Today's Standard Model, though still incomplete in many respects, is the culmination of the most successful theory of the Universe to date, and it is built upon foundations provided by discoveries made by Nambu in the 1960s: the mechanism of spontaneously broken symmetry in Nature (with G Jona-Lasinio) and the hidden new SU(3) symmetry of quarks and gluons (with M-Y Han).In this volume honoring Nambu's memory, World Scientific Publishing presents a unique collection of papers written by his former colleagues, collaborating researchers and former students and associates, not only citing Nambu's great contributions in physics but also many personal and private reminiscences, some never told before. This volume also contains the very last scientific writing by Professor Nambu himself, discussing the development of particle physics.This book is a volume for all who benefited not only from Nambu's contributions toward understanding the Universe but also his warm and kind persona. It is a great addition to the history of contemporary physics.

This book is meant as an introduction to graphene plasmonics and aims at the advanced undergraduate and graduate students entering the field of plasmonics in graphene. In it different theoretical methods are introduced, starting with an elementary description of graphene plasmonics and evolving towards more advanced topics. This book is essentially self-contained and brings together a number of different topics about the field that are scattered in the vast literature. The text is composed of eleven chapters and of a set of detailed appendices. It can be read in two different ways: Reading only the chapters to get acquainted with the field of plasmonics in graphene or reading the chapters and studying the appendices to get a working knowledge of the topic. The study of the material in this book will bring the students to the forefront of the research in this field.

This book is meant as an introduction to graphene plasmonics and aims at the advanced undergraduate and graduate students entering the field of plasmonics in graphene. In it different theoretical methods are introduced, starting with an elementary description of graphene plasmonics and evolving towards more advanced topics. This book is essentially self-contained and brings together a number of different topics about the field that are scattered in the vast literature. The text is composed of eleven chapters and of a set of detailed appendices. It can be read in two different ways: Reading only the chapters to get acquainted with the field of plasmonics in graphene or reading the chapters and studying the appendices to get a working knowledge of the topic. The study of the material in this book will bring the students to the forefront of the research in this field.

In last years increasing attention has been again devoted to interpretations of quantum theory. In the same time interesting quantum optical experiments have been performed using nonlinear optical processes, in particular frequency down conversion, which provided new information about nature of a photon on the basis of interference and correlation (coincidence) phenomena. Such single-photon and twin-photon effects of quantum optics provide new point of view of interpretations of quantum theory and new tests of its principles. The purpose of this book is to discuss these questions. To follow this goal we give brief reviews of principles of quantum theory and of quantum theory of measurement. As a fundamental theoretical tool the coherent state technique is adopted based on a general algebraic treatment, including the de scription of interaction of radiation and matter. Typical quantum behaviour of physical systems is exhibited by nonclassical optical phenomena, which can be examined using photon interferences and correlations. These phenomena are closely related to violation of various classical inequalities and Bell's in equalities. The most important part of this book discusses quantum optical experiments supporting quantum theory. This book may be considered as a continuation of previous monographs by one of the authors on Coherence of Light (Van Nostrand Reinhold, London 1972, second edition D. Reidel, Dordrecht 1985) and on Quantum Statistics of Linear and Nonlinear Optical Phenomena (D. Reidel, Dordrecht 1984, second edition Kluwer, Dordrecht 1991), which may serve as a preparation for reading this book."

'It may be that a real synthesis of quantum and relativity theories requires not just technical developments but radical conceptual renewal.'J S BellBeyond Peaceful Coexistence: The Emergence of Space, Time and Quantum brings together leading academics in mathematics and physics to address going beyond the 'peaceful coexistence' of space-time descriptions (local and continuous ones) and quantum events (discrete and non-commutative ones). Formidable challenges waiting beyond the Standard Model require a new semantic consistency within the theories in order to build new ways of understanding, working and relating to them. The original A. Shimony meaning of the peaceful coexistence (the collapse postulate and non-locality) appear to be just the tip of the iceberg in relation to more serious fundamental issues across physics as a whole.Chapters in this book present perspectives on emergent, discrete, geometrodynamic and topological approaches, as well as a new interpretative spectrum of quantum theories after Copenhagen, discrete time theories, time-less approaches and 'super-fluid' pictures of space-time.As well as stimulating further research among established theoretical physicists, the book can also be used in courses on the philosophy and mathematics of theoretical physics.

This book highlights the review of articles in theoretical physics by the students of Professor K. Babu Joseph, as a Festschrift for his 80th Birthday. This book is divided into four sections based on the contributions of Babu Joseph and his students. The four sections are Cosmology, High Energy Physics, Mathematical Physics and Non-linear Dynamics and its applications.

This book is a comprehensive account of a large class of models used to describe the observed particles and the restoration of chiral symmetry at high temperatures and densities. This book enables a reader with only an elementary knowledge of quantum mechanics and field theory, to understand and master the modern techniques used to study the quark structure of hadrons, solitons and their collective rotations in flavour space. The style is pedagogical and will be extremely useful for doctoral students who would like to learn the techniques used in present day research.

David Bohm is one of the foremost scientific thinkers of today and one of the most distinguished scientists of his generation. His challenge to the conventional understanding of quantum theory has led scientists to reexamine what it is they are going and his ideas have been an inspiration across a wide range of disciplines. Quantum Implications is a collection of original contributions by many of the world' s leading scholars and is dedicated to David Bohm, his work and the issues raised by his ideas. The contributors range across physics, philosophy, biology, art, psychology, and include some of the most distinguished scientists of the day. There is an excellent introduction by the editors, putting Bohm's work in context and setting right some of the misconceptions that have persisted about the work of David Bohm

We have lost one of the giants of the twentieth century physics when Yoichiro Nambu passed away in July, 2015, at the age of 94.Today's Standard Model, though still incomplete in many respects, is the culmination of the most successful theory of the Universe to date, and it is built upon foundations provided by discoveries made by Nambu in the 1960s: the mechanism of spontaneously broken symmetry in Nature (with G Jona-Lasinio) and the hidden new SU(3) symmetry of quarks and gluons (with M-Y Han).In this volume honoring Nambu's memory, World Scientific Publishing presents a unique collection of papers written by his former colleagues, collaborating researchers and former students and associates, not only citing Nambu's great contributions in physics but also many personal and private reminiscences, some never told before. This volume also contains the very last scientific writing by Professor Nambu himself, discussing the development of particle physics.This book is a volume for all who benefited not only from Nambu's contributions toward understanding the Universe but also his warm and kind persona. It is a great addition to the history of contemporary physics.

N atur non facit saltus? This book is devoted to the fundamental problem which arises contin uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality. We pay our main attention to the role of number systems which are used, or may be used, in this process. We shall show that the picture of reality based on the standard (since the works of Galileo and Newton) methods of real analysis is not the unique possible way of presenting reality in a human brain. There exist other pictures of reality where other num ber fields are used as basic elements of a mathematical description. In this book we try to build a p-adic picture of reality based on the fields of p-adic numbers Qp and corresponding analysis (a particular case of so called non-Archimedean analysis). However, this book must not be considered as only a book on p-adic analysis and its applications. We study a much more extended range of problems. Our philosophical and physical ideas can be realized in other mathematical frameworks which are not obliged to be based on p-adic analysis. We shall show that many problems of the description of reality with the aid of real numbers are induced by unlimited applications of the so called Archimedean axiom."

Readers can install Quantum ESPRESSO on Windows 10, macOS, and Linux operating systems. Readers can download all input files of the book and learn each subject without making input files by themselves. Readers can learn the Wannier90 package for obtaining tight-binding parameters for theoretical modeling. Minimum information of density-functional theory and solid-state physics is included. All software except for the operating system is open software that readers can download without any cost.

The present book provides an introduction to quantum optics, the study of optical effects that cannot be explained by classical theory. Its main concern is the theoretical background to the key experiments in quantum optics. More than half of the material in this third edition is new, the material that has appeared in the previous editions already has been updated. The level of the treatment as a whole is appropriate for postgraduate students and research workers, while earlier chapters are also suitable for final-year undergraduates.

The book explores the variety of meanings of contextuality across different disciplines, with the emphasis on quantum physics and on psychology.

Quantum systems with many degrees of freedom are inherently difficult to describe and simulate quantitatively. The space of possible states is, in general, exponentially large in the number of degrees of freedom such as the number of particles it contains. Standard digital high-performance computing is generally too weak to capture all the necessary details, such that alternative quantum simulation devices have been proposed as a solution. Artificial neural networks, with their high non-local connectivity between the neuron degrees of freedom, may soon gain importance in simulating static and dynamical behavior of quantum systems. Particularly promising candidates are neuromorphic realizations based on analog electronic circuits which are being developed to capture, e.g., the functioning of biologically relevant networks. In turn, such neuromorphic systems may be used to measure and control real quantum many-body systems online. This thesis lays an important foundation for the realization of quantum simulations by means of neuromorphic hardware, for using quantum physics as an input to classical neural nets and, in turn, for using network results to be fed back to quantum systems. The necessary foundations on both sides, quantum physics and artificial neural networks, are described, providing a valuable reference for researchers from these different communities who need to understand the foundations of both.

This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.

This book aims to provide a quick pedagogical introduction to path integrals. It contains original material that never before has appeared in a book, for example the path integrals for the Wigner functions and for Classical Mechanics. This application to Classical Mechanics connects different fields like Hamiltonian mechanics and differential geometry, so the book is suitable for students and researchers from various disciplines.

This book aims to provide a quick pedagogical introduction to path integrals. It contains original material that never before has appeared in a book, for example the path integrals for the Wigner functions and for Classical Mechanics. This application to Classical Mechanics connects different fields like Hamiltonian mechanics and differential geometry, so the book is suitable for students and researchers from various disciplines.

This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The theoretical results are derived using the physical phenomena as a starting point. This inductive approach allows a deep understanding of the methods used for solving problems in this field. This second, revised edition is expanded with biographical notes contextualizing the main results in quantum field theory.

We extend to gravitation our previous study of a quantum wave for all particles and antiparticles of each generation (electron + neutrino + u and d quarks for instance). This wave equation is form invariant under Cl3*, then relativistic invariant. It is gauge invariant under the gauge group of the standard model, with a mass term: this was impossible before, and the consequence was an impossibility to link gauge interactions and gravitation.