New Trends In Quantum Structures

Author : Anatolij Dvurecenskij
Publisher : Springer Science & Business Media
ISBN 13 : 9401724229
Total Pages : 551 pages
Book Rating : 4.27/5 ( download)

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Download or read book New Trends in Quantum Structures written by Anatolij Dvurecenskij and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.

Author : Anatolij Dvurečenskij
Publisher :
ISBN 13 : 9788088683230
Total Pages : 541 pages
Book Rating : 4.38/5 ( download)

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Download or read book New Trends in Quantum Structures written by Anatolij Dvurečenskij and published by . This book was released on 2000 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Anatolij Dvurecenskij
Publisher : Springer
ISBN 13 : 9789401724234
Total Pages : 542 pages
Book Rating : 4.37/5 ( download)

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Download or read book New Trends in Quantum Structures written by Anatolij Dvurecenskij and published by Springer. This book was released on 2014-03-14 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.

Author : Kurt Engesser
Publisher : Elsevier
ISBN 13 : 0080931669
Total Pages : 727 pages
Book Rating : 4.61/5 ( download)

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Download or read book Handbook of Quantum Logic and Quantum Structures written by Kurt Engesser and published by Elsevier. This book was released on 2009-06-16 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Asim Orhan Barut
Publisher : World Scientific
ISBN 13 : 981454986X
Total Pages : 422 pages
Book Rating : 4.68/5 ( download)

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Download or read book Quantum Systems: New Trends And Methods - Proceedings Of The International Workshop written by Asim Orhan Barut and published by World Scientific. This book was released on 1995-02-21 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum systems in all areas of physics, from atomic and molecular physics, nuclear and particle physics to condensed matter and astrophysics, provide a rich mosaic of different structures. Yet there are some simple and universal working principles of nature which seem to govern these structures and manifest themselves in various forms, as well as likely hypothetical ones which might do the same. For example, the same symmetry group structure occurs again and again in optics, atomic physics and particle physics. Concepts like potential, phases, bound states, tunneling, interference, solitons, radiation and resonance are universal.It is for those reasons that a collection of recent works in the many areas of physics on quantum structures and the methods for their investigation is important. The present volume fulfills this task to a large extent. The contributions are wide-ranging and yet there is a certain continuity. The main topics, namely non-perturbative methods in quantum theory, quantum nonlinear systems, quantum phases and magnetic monopoles, are covered by longer review articles and are enriched by many related contributions. It is also very appropriate that the corresponding mathematical methods, such as those for solving Schrödinger and relativistic wave equations, as well as those of algebra and group representations and analysis, are included in this volume.

Author : Jennifer Chubb
Publisher : Cambridge University Press
ISBN 13 : 110703339X
Total Pages : 355 pages
Book Rating : 4.99/5 ( download)

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Download or read book Logic and Algebraic Structures in Quantum Computing written by Jennifer Chubb and published by Cambridge University Press. This book was released on 2016-02-26 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experts in the field explore the connections across physics, quantum logic, and quantum computing.

Author : J. Maruani
Publisher : Springer Science & Business Media
ISBN 13 : 0306469502
Total Pages : 310 pages
Book Rating : 4.03/5 ( download)

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Download or read book New Trends in Quantum Systems in Chemistry and Physics written by J. Maruani and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes collect thirty-eight selected papers from the scientific contributions presented at the Fourth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-IV), held in Marly-le-Roi (France) in April 22-27, 1999. A total of one hundred and fifteen scientists attended the workshop, 99 from Europe and 16 from the rest of the world. They discussed the state of the art, new trends, and future evolution of the methods and applications. The workshop was held in the old town of Marly-le-Roi, which lies to the West of Paris between the historic centres of Saint-Germain-en-Laye and Versailles. Participants were housed at the National Youth Institute, where over sixty lectures were given by l- ding members of the scientific community; in addition, over sixty posters were presented in two very animated sessions. We are grateful to the oral speakers and to the poster p- senters for making the workshop such an stimulating experience. The social programme was also memorable – and not just for the closing banquet, which was held at the French Senate House. We are sure that participants will long remember their visit to the 'Musée des Antiquités Nationales': created by Napoleon III at the birthplace of Louis XIV, this museum boasts one of the world finest collections of archeological artifacts. The Marly-le-Roi workshop followed the format established at the three previous meetings, organized by Prof.

Author : Roberto Passante
Publisher : MDPI
ISBN 13 : 3039285246
Total Pages : 162 pages
Book Rating : 4.42/5 ( download)

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Download or read book New Trends in Quantum Electrodynamics written by Roberto Passante and published by MDPI. This book was released on 2020-04-01 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects research and review articles covering some recent trends in nonrelativistic quantum electrodynamics, specifically the interaction of atoms or molecules within the quantum electromagnetic radiation field and the related physical effects. Specific topics covered are: two- and three-body dispersion interactions between atoms and molecules, both in the nonretarded van der Waals and the retarded Casimir–Polder regime; vacuum field fluctuations of the electromagnetic field and their effect in atomic systems; dispersion interactions between uniformly accelerating atoms and relation with the Fulling–Davies–Unruh effect; dynamics of atomic systems under strong electromagnetic fields; symmetries in quantum electrodynamics; and open quantum systems.

Author : Maria Luisa Dalla Chiara
Publisher : Springer
ISBN 13 : 3030044718
Total Pages : 178 pages
Book Rating : 4.18/5 ( download)

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Download or read book Quantum Computation and Logic written by Maria Luisa Dalla Chiara and published by Springer. This book was released on 2018-12-10 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, the book investigates the puzzling entanglement-phenomena and logically analyses the Einstein–Podolsky–Rosen paradox and introduces the reader to quantum computational logics, and new forms of quantum logic. The middle chapters investigate the possibility of a quantum computational semantics for a language that can express sentences like “Alice knows that everybody knows that she is pretty”, explore the mathematical concept of quantum Turing machine, and illustrate some characteristic examples that arise in the framework of musical languages. The book concludes with an analysis of recent discussions, and contains a Mathematical Appendix which is a survey of the definitions of all main mathematical concepts used in the book.

Author : Vincent F. Hendricks
Publisher : Springer Science & Business Media
ISBN 13 : 9401735980
Total Pages : 387 pages
Book Rating : 4.88/5 ( download)

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Download or read book Trends in Logic written by Vincent F. Hendricks and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.