Probing The Structure Of Quantum Mechanics

Author : Diederik Aerts,Thomas Durt,Marek Czachor
Publisher : World Scientific
Page : 400 pages
File Size : 44,8 Mb
Release : 2002-06-11
Category : Science
ISBN : 9789814489409

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Probing the Structure of Quantum Mechanics by Diederik Aerts,Thomas Durt,Marek Czachor Pdf

During the last decade, scientists working in quantum theory have been engaging in promising new fields such as quantum computation and quantum information processing, and have also been reflecting on the possibilities of nonlinear behavior on the quantum level. These are challenging undertakings because (1) they will result in new solutions to important technical and practical problems that were unsolvable by the classical approaches (for example, quantum computers can calculate problems that are intractable if one uses classical computers); and (2) they open up new 'hard' problems of a fundamental nature that touch the foundation of quantum theory itself (for example, the contradiction between locality and nonlinearity and the interpretation of quantum computing as a universal process). In this book, one can distinguish two main streams of research to approach the just-mentioned problem field: (1) a theoretical structural part, which concentrates on the elaboration of a nonlinear quantum mechanics and the fundamentals of quantum computation; and (2) a theoretical experimental part, which focuses on the theoretical aspects of applications that arise from new technology and novel research perspectives such as quantum optics and quantum cryptography. Particular attention is also paid to the measurement problem, the classical limit and alternative interpretations (such as the hidden measurement approach). Contents:Probing the Structure of Quantum Mechanics (D Aerts et al.)The Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities (D Aerts & F Valckenborgh)Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities (D Aerts & F Valckenborgh)Being and Change: Foundations of a Realistic Operational Formalism (D Aerts)The Classical Limit of the Lattice-Theoretical Orthocomplementation in the Framework of the Hidden-Measurement Approach (T Durt & B D'Hooghe)State Property Systems and Closure Spaces: Extracting the Classical en Non-Classical Parts (D Aerts & D Deses)Hidden Measurements from Contextual Axiomatics (S Aerts)High Energy Approaches to Low Energy Phenomena in Astrophysics (S M Austin)Memory Effects in Atomic Interferometry: A Negative Result (T Durt et al.)Reality and Probability: Introducing a New Type of Probability Calculus (D Aerts)Quantum Computation: Towards the Construction of a ‘Between Quantum and Classical Computer’ (D Aerts & B D'Hooghe)Buckley-Siler Connectives for Quantum Logics of Fuzzy Sets (J Pykacz & B D'Hooghe)Some Notes on Aerts' Interpretation of the EPR-Paradox and the Violation of Bell-Inequalities (W Christiaens)Quantum Cryptographic Encryption in Three Complementary Bases Through a Mach-Zehnder Set Up (T Durt & B Nagler)Quantum Cryptography Without Quantum Uncertainties (T Durt)How to Construct Darboux-Invariant Equations of von Neumann Type (J L Cie(li(ski)Darboux-Integrable Equations with Non-Abelian Nonlinearities (N V Ustinov & M Czachor)Dressing Chain Equations Associated with Difference Soliton Systems (S Leble)Covariance Approach to the Free Photon Field (M Kuna & J Naudts) Readership: Graduate students, researchers and academics in quantum physics. Keywords:Quantum Mechanics;Quantum Computation;Quantum Information Processing

Author : D. Aerts (ed.)
Publisher : Unknown
Page : 0 pages
File Size : 40,6 Mb
Release : 2002
Category : Electronic
ISBN : 9810248474

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Probing the Structure of Quantum Mechanics by D. Aerts (ed.) Pdf

Author : Diederik Aerts,Christian de Ronde,Hector Freytes,Sven Aerts
Publisher : World Scientific
Page : 372 pages
File Size : 44,9 Mb
Release : 2016-07-21
Category : Mathematics
ISBN : 9789813146297

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Probing the Meaning of Quantum Mechanics by Diederik Aerts,Christian de Ronde,Hector Freytes,Sven Aerts Pdf

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 Florianópolis, 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. Contents:On the Notion of Truth in Quantum Mechanics: A Category-Theoretic Standpoint (V Karakostas and E Zafiris)A Logical Account of Quantum Superpositions (D Krause and J R B Arenhart)Mixing Categories and Modal Logics in the Quantum Setting (G Cinà)Binary Gates in Three Valued Quantum Computational Logics (G Sergioli, A Ledda and R Giuntini)The GTR Model: A Universal Framework for Quantum-Like Measurements (D Aerts and M S de Bianchi)'Probabilistic Knowledge' as 'Objective Knowledge' in Quantum Mechanics: Potential Immanent Powers Instead of Actual Properties (C de Ronde)On When a Semantics is not a Good Semantics: The Algebraisation of Orthomodular Logic (T Kowalski, F Paoli and and R Giuntin)Von Neumann, Empiricism and the Foundations of Quantum Mechanics (O Bueno)The Born Rule and Free Will: Why Libertarian Agent-Causal Free Will is Not "Antiscientific" (R E Kastner)Fuzzy Approach for CNOT Gate in Quantum Computation with Mixed States (G Sergioli and H Freytes)A Modal Logic of Indiscernibility (D Krause, J R B Arenhart and P Merlussi)The Possibility of a New Metaphysics for Quantum Mechanics from Meinong's Theory of Objects (M Graffigna)Entanglement of Formation for Werner States and Isotropic States via Logical Gates (C Bertini, M L D Chiara and R Leporini)Time, Chance and Quantum Theory (A Sudbery)A Topos Theoretic Framework for Paraconsistent Quantum Theory (B Eva)A Possible Solution to the Second Entanglement Paradox (D Aerts and M S de Bianchi) Readership: University students and researchers interested in the foundation of quantum mechanics.

Author : Diederik Aerts,Sven Aerts,Christian de Ronde
Publisher : World Scientific
Page : 316 pages
File Size : 41,7 Mb
Release : 2014-02-20
Category : Science
ISBN : 9789814596305

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Probing the Meaning of Quantum Mechanics by Diederik Aerts,Sven Aerts,Christian de Ronde Pdf

This book provides a new original perspective on one of the most fascinating and important open questions in science: What is quantum mechanics talking about? Quantum theory is perhaps our best confirmed physical theory. However, in spite of its great empirical effectiveness and the subsequent technological developments that it gave rise to in the 20th century, from the interpretation of the periodic table of elements to CD players, holograms and quantum state teleportation, it stands even today without a universally accepted interpretation. The novelty of the book comes from the multiple viewpoints and the original angles taken by a group of young researchers from Europe and South America who gathered for several years under the auspices of the Center Leo Apostel. Each member of the group presented ideas concerning the interpretation of quantum mechanics. We had discussions ranging from the philosophical underpinnings of local realism and holism, information and decision theoretic approaches to quantum theory all the way to the many worlds interpretation. Strikingly, in much the same way as different — and indeed incompatible observations are needed to fully describe the physical state of affairs in quantum mechanics — the various interpretations of the theory also seem to shed viable, but not necessarily compatible, perspectives on different aspects of the same grand framework. The discussions that followed were both technical and lively, but perhaps their most remarkable quality was the absence of rigid points of view that unfortunately seems to paralyze so much of the discussion in this area. This book is an expression which can be interesting not only to the specialists but also for the general public attempting to get a grasp on one of the still most fundamental questions of present physics. Contents:Do Quantum Dice Remember? (T Durt)Quantum Ontology in the Light of Gauge Theories (G Catren)The Probabilistic Structure of Quantum Theory as Originating from Optimal Observation in the Face of the Observer's Lack of Knowledge of His Own State (S Aerts)Quantum Realism, Information, and Epistemological Modesty (A Grinbaum)The Problem of Representation and Experience in Quantum Mechanics (C de Ronde)Bohrian Complementarity in the Light of Kantian Teleology (H Pringe)How Understanding Matters — Or Not (S Le Bihan)On the Orthocomplementation of State-Property-Systems of Contextual Systems (B D'Hooghe)The Deleuzian Concept of Structure and Quantum Mechanics (W A Christiaens)Understanding Probabilities in the Everett Interpretation of Quantum Mechanics (A Barton)Metaphysical Underdetermination and Logical Determination: The Case of Quantum Mechanics (J R B Arenhart)Neither Name, Nor Number (F Holik)EPR Correlations, Bell Inequalities and Common Cause Systems (G Hofer-Szabó)A Logic-Algebraic Framework for Contextuality and Modality in Quantum Systems (H Freytes) Readership: Student, professional, and the general public interested in the quantum theory. Key Features:The constitution of the group is of mainly PhD students in Europe working in the physics, philosophy and logic of quantum theory. The group, though young, is technically skilled both in the formalism as well as in the traditional and contemporary philosophical discussions regarding the interpretation of quantum mechanics. It is such a constitution which can provide the conditions for a “fresh look” at the field of foundations of quantum mechanicsQuantum mechanics is simply fascinating and remains even today an open problem for those who wish to seek for answersThe book will be a single unity, as it will be directed by “seeking understanding of quantum mechanics”, but it will also be wide and diverse in scope of topics and personal in choice and motivation of the topics handled, which is what makes this enterprise uniqueKeywords:Quantum Mechanics;Physics;Philosophy;Logic

Author : Diederik Aerts,Jonas Arenhart,Christian De Ronde,Giuseppe Sergioli
Publisher : World Scientific
Page : 342 pages
File Size : 47,6 Mb
Release : 2023-09-21
Category : Science
ISBN : 9789811283604

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Probing The Meaning Of Quantum Mechanics: Probability, Metaphysics, Explanation And Measurement by Diederik Aerts,Jonas Arenhart,Christian De Ronde,Giuseppe Sergioli Pdf

Quantum theory is perhaps our best confirmed theory for a description of the physical properties of nature. On top of demonstrating great empirical effectiveness, many technological developments in the 20th century (such as the interpretation of the periodic table of elements, CD players, holograms, and quantum state teleportation) were only made possible with Quantum theory.Despite its success in the past decades, even today it still remains without a universally accepted interpretation.This book provides an interdisciplinary perspective on the question; 'What is Quantum Mechanics talking about?', a question which continues to be one of the most fascinating and important questions in science.Using an interdisciplinary approach to foundational problems in Quantum Mechanics (QM), ranging from philosophical questions about the interpretation of QM to technical problems in quantum computation, this book explores quantum mechanics from different perspectives (physical, logical, philosophical and mathematical), by researchers from Europe, North America, and South America.

Author : Diederik Aerts,Maria Luisa Dalla Chiara,Christian de Ronde,Décio Krause
Publisher : World Scientific Publishing
Page : 392 pages
File Size : 54,7 Mb
Release : 2018-11-20
Category : Science
ISBN : 9789813276901

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Probing the Meaning of Quantum Mechanics by Diederik Aerts,Maria Luisa Dalla Chiara,Christian de Ronde,Décio Krause Pdf

This book provides an interdisciplinary perspective on one of the most fascinating and important open questions in science: What is quantum mechanics talking about? Quantum theory is perhaps our best confirmed physical theory. However, despite its great empirical effectiveness and the subsequent technological developments that it gave rise to in the 20th century, from the interpretation of the periodic table of elements to CD players, holograms and quantum state teleportation, it stands even today without a universally accepted interpretation. The novelty of the book comes from the multiple viewpoints and subjects investigated by a group of researchers from Europe and North and South America.

Author : Diederik Aerts,Christian de Ronde,Hector Freytes,Roberto Giuntini
Publisher : World Scientific Publishing Company
Page : 360 pages
File Size : 47,6 Mb
Release : 2016
Category : Quantum theory
ISBN : 9813146273

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Probing the Meaning of Quantum Mechanics by Diederik Aerts,Christian de Ronde,Hector Freytes,Roberto Giuntini Pdf

"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 Florianaopolis, 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"--

Author : Mark P. Silverman
Publisher : Princeton University Press
Page : 248 pages
File Size : 42,5 Mb
Release : 2021-04-13
Category : Science
ISBN : 9780691228266

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Probing the Atom by Mark P. Silverman Pdf

The many-faceted efforts to understand the structure and interactions of atoms over the past hundred years have contributed decisively and dramatically to the explosive development of physics. There is hardly a branch of modern physical science that does not in some seminal way rely on the fundamental principles and mathematical and experimental insights that derive from these studies. In particular, the drive to understand the singular features of the hydrogen atom--simultaneously the archetype of all atoms and the least typical atom--spurred many of the twentieth century's advances in physics and chemistry. This book gives an in-depth account of the author's own penetrating experimental and theoretical investigations of the hydrogen atom, while simultaneously providing broad lessons in the application of quantum mechanics to atomic structure and interactions. A pioneer in the combined use of atomic accelerators and radiofrequency spectroscopy for probing the internal structure of the hydrogen atom, Mark Silverman examines the general principles behind this far-reaching experimental approach. Fast-moving protons are directed into gas or foil targets from which they capture electrons to become hydrogen atoms moving uniformly at very high speeds. During their rapid passage through the spectroscopy chamber of the atomic accelerator, these atoms reveal by the light they emit fascinating details of their internal configuration and the interactions that created them. Silverman examines the effects of radiofrequency fields on the hydrogen atom clearly and systematically, explaining the details of these interactions at different levels of complexity and refinement, each level illuminating the physical processes involved from different and complementary perspectives. Readers interested in diverse areas of physics and physical chemistry will appreciate both the theoretical and practical implications of Silverman's studies and the personal style with which he relays them. This is a work of not only an outstanding research physicist, but a fine teacher who understands how curiosity underlies all science.

Author : Hans Kleinpoppen,Bernd Lohmann,Alexei N. Grum-Grzhimailo
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 47,5 Mb
Release : 2013-12-04
Category : Science
ISBN : 9783642405143

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Perfect/Complete Scattering Experiments by Hans Kleinpoppen,Bernd Lohmann,Alexei N. Grum-Grzhimailo Pdf

The main goal of this book is to elucidate what kind of experiment must be performed in order to determine the full set of independent parameters which can be extracted and calculated from theory, where electrons, photons, atoms, ions, molecules, or molecular ions may serve as the interacting constituents of matter. The feasibility of such perfect' and-or `complete' experiments, providing the complete quantum mechanical knowledge of the process, is associated with the enormous potential of modern research techniques, both, in experiment and theory. It is even difficult to overestimate the role of theory in setting of the complete experiment, starting with the fact that an experiment can be complete only within a certain theoretical framework, and ending with the direct prescription of what, and in what conditions should be measured to make the experiment `complete'. The language of the related theory is the language of quantum mechanical amplitudes and their relative phases. This book captures the spirit of research in the direction of the complete experiment in atomic and molecular physics, considering some of the basic quantum processes: scattering, Auger decay and photo-ionization. It includes a description of the experimental methods used to realize, step by step, the complete experiment up to the level of the amplitudes and phases. The corresponding arsenal includes, beyond determining the total cross section, the observation of angle and spin resolved quantities, photon polarization and correlation parameters, measurements applying coincidence techniques, preparing initially polarized targets, and even more sophisticated methods. The `complete' experiment is, until today, hardly to perform. Therefore, much attention is paid to the results of state-of-the-art experiments providing detailed information on the process, and their comparison to the related theoretical approaches, just to mention relativistic multi-configurational Dirac-Fock, convergent close-coupling, Breit-Pauli R-matrix, or relativistic distorted wave approaches, as well as Green's operator methods. This book has been written in honor of Herbert Walther and his major contribution to the field but even to stimulate advanced Bachelor and Master students by demonstrating that obviously nowadays atomic and molecular scattering physics yields and gives a much exciting appreciation for further advancing the field.

Author : Freytes Hector,Diederik Aerts,Christian de Ronde,Roberto Giuntini
Publisher : Unknown
Page : 371 pages
File Size : 46,9 Mb
Release : 2016
Category : Electronic books
ISBN : 9813146281

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Probing the Meaning of Quantum Mechanics by Freytes Hector,Diederik Aerts,Christian de Ronde,Roberto Giuntini Pdf

"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 Florianópolis, 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."--Provided by publisher.

Author : Kurt Engesser,Dov M. Gabbay,Daniel Lehmann
Publisher : Elsevier
Page : 726 pages
File Size : 50,6 Mb
Release : 2009-06-16
Category : Mathematics
ISBN : 0080931669

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Handbook of Quantum Logic and Quantum Structures by Kurt Engesser,Dov M. Gabbay,Daniel Lehmann Pdf

Quantum mechanics is said to be the most successful physical theory ever. It is, in fact, unique in its success when applied to concrete physical problems. On the other hand, however, it raises profound conceptual problems that are equally unprecedented. Quantum logic, the topic of this volume, can be described as an attempt to cast light on the puzzle of quantum mechanics from the point of view of logic. Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled, “The logic of quantum mechanics, quantum logic has undergone an enormous development. Various schools of thought and approaches have emerged, and there are a variety of technical results. The chapters of this volume constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic. • Authored by eminent scholars in the field • Material presented is of recent origin representing the frontier of the subject. • Provides the most comprehensive and varied discussion of Quantum Mechanics available.

Author : Avshalom C. Elitzur,Shahar Dolev,Nancy Kolenda
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 55,9 Mb
Release : 2006-03-30
Category : Science
ISBN : 9783540266693

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Quo Vadis Quantum Mechanics? by Avshalom C. Elitzur,Shahar Dolev,Nancy Kolenda Pdf

Each contribution is an article in itself, and great effort has been made by the authors to be lucid and not too technical. A few brief highlights of the round-table discussions are given between the chapters. Topics include: Quantum non-locality, the measurement problem, quantum insights into relativity, cosmology and thermodynamics, and possible bearings of quantum mechanics to biology and consciousness. Authors include Yakir Aharanov and Anton Zeilinger, plus Nobel laureates Anthony J. Leggett (2003) and Gerardus ‘t Hooft (1999). Foreword written by Sir Roger Penrose, best-selling author (The Emperor's New Mind) and world-renowned mathematical physicist.

Author : Alexander S. Holevo
Publisher : Springer Science & Business Media
Page : 189 pages
File Size : 55,9 Mb
Release : 2001-06-20
Category : Language Arts & Disciplines
ISBN : 9783540420828

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Statistical Structure of Quantum Theory by Alexander S. Holevo Pdf

New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation. In the meantime it has become a mature subject. In this book, the author, himself a leading researcher in this field, surveys the basic principles and results of the theory, concentrating on mathematically precise formulations. Special attention is given to the measurement dynamics. The presentation is pragmatic, concentrating on the ideas and their motivation. For detailed proofs, the readers, researchers and graduate students, are referred to the extensively documented literature.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 42,7 Mb
Release : 2024-06-26
Category : Electronic
ISBN : 9789814472159

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Physics of Emergence and Organization by Anonim Pdf

Author : Frank H. Columbus
Publisher : Unknown
Page : 224 pages
File Size : 47,7 Mb
Release : 2004
Category : Science
ISBN : UOM:39015060122218

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Frontiers in Quantum Physics Research by Frank H. Columbus Pdf

This new book examines new research in the exploding field of quantum physics. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e., quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. Many physical quantities whose classical counterparts vary continuously over a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics).