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"The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--Jacket.

Heisenberg uncertainty principle --- Quantum theory --- Mathematics --- Mathematics

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Quantum theory --- Heisenberg uncertainty principle --- Quantum theory - Congresses --- Heisenberg uncertainty principle - Congresses

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Written by philosophers, cosmologists, and physicists, this collection of essays deals with causality, which is a core issue for both science and philosophy. Readers will learn about different types of causality in complex systems and about new perspectives on this issue based on physical and cosmological considerations. In addition, the book includes essays pertaining to the problem of causality in ancient Greek philosophy, and to the problem of God's relation to the causal structures of nature viewed in the light of contemporary physics and cosmology.

Causality (Physics) --- Cosmology. --- Astronomy --- Deism --- Metaphysics --- Causality --- Heisenberg uncertainty principle --- Nuclear physics --- Physics --- Quantum theory --- Philosophy

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This book, published in 2000, is a clear account of causation based firmly in contemporary science. Dowe discusses in a systematic way, a positive account of causation: the conserved quantities account of causal processes which he has been developing over the last ten years. The book describes causal processes and interactions in terms of conserved quantities: a causal process is the worldline of an object which possesses a conserved quantity, and a causal interaction involves the exchange of conserved quantities. Further, things that are properly called cause and effect are appropriately connected by a set of causal processes and interactions. The distinction between cause and effect is explained in terms of a version of the fork theory: the direction of a certain kind of ordered pattern of events in the world. This particular version has the virtue that it allows for the possibility of backwards causation, and therefore time travel.

Causality (Physics) --- Causality --- Heisenberg uncertainty principle --- Nuclear physics --- Physics --- Quantum theory --- Philosophy --- Causality (Physics). --- Arts and Humanities --- Philosophy of science

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En 1905 apparaissait une nouvelle physique qui allait révolutionner la façon de décrire la matière et ses interactions : la physique quantique. Avec elle s'ouvraient les portes d'un monde qui n'obéit pas aux lois de la physique classique : l'infiniment petit, avec ses atomes et ses particules. Elle obligea ses pères fondateurs, Einstein, Bohr, Heisenberg et Schrödinger notamment, à rediscuter le déterminisme et les critères de réalité de la physique classique, ainsi que la traditionnelle séparation entre observateur et objet observé. Le scientifique explique les bases de la physique quantique et les circonstances de sa naissance et montre en quoi elle a constitué une révolution conceptuelle majeure. Il évoque les difficultés liées à sa vulgarisation, expose ses applications futuristes et met en garde contre certaines extrapolations hasardeuses de ses acquis.

Quantum theory --- Heisenberg uncertainty principle --- Physics --- Théorie quantique. --- Heisenberg, Principe d'incertitude d'. --- Physique --- History --- Philosophy --- Philosophie.