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Quantum Theory: A Foundational Approach

Autor Charis Anastopoulos
en Limba Engleză Hardback – 30 aug 2023
The ideal text for a two-semester graduate course on quantum mechanics. Fresh, comprehensive, and clear, it strikes the optimal balance between covering traditional material and exploring contemporary topics. Focusing on the probabilistic structure of quantum mechanics and the central role of symmetries to unify principles, this textbook guides readers through the logical development of the theory. Students will also learn about the more exciting and controversial aspects of quantum theory, with discussions on past interpretations and the current debates on cutting-edge concepts such as quantum information and entanglement, open quantum systems, and quantum measurement theory. The book has two types of content: Type A material is more elementary and is fully self-contained, functioning like a separate book within the book, while Type B content is at the level of a graduate course. Requiring minimal physics background, this textbook is appropriate for mathematics and engineering students, in addition to physicists. Introducing cutting-edge topics in the field, the book features about 150 concept-checking questions, 300 homework problems and a solutions manual.
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Specificații

ISBN-13: 9781316518595
ISBN-10: 1316518590
Pagini: 650
Ilustrații: 70 b/w illus.
Dimensiuni: 264 x 211 x 43 mm
Greutate: 1.59 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

Preface; Acknowledgements; Important Information; How to Use This Book; Conventions; Part I. Introduction: 1. The classical world; 2. The birth of quantum theory; Part II. The Principles of Quantum Theory: 3. Hilbert spaces and the superposition principle; 4. Operators: I. General theory; 5. Operators: II. Applications; 6. Quantum probabilities; 7. Time evolution; 8. Quantum state reduction; 9. Composite quantum systems and entanglement; 10. Quantum-classical correspondence; Part III. Elementary Systems and Their Symmetries: 11. Symmetries I: Rotations; 12. Symmetries: II Group theory in quantum mechanics; 13. Particles in three dimensions; 14. Particles with spin; 15. Particle statistics and field-particle duality; 16. Relativistic systems; Part IV. Techniques: 17. Energy spectra and the structure of composite systems; 18. Transitions and decays; 19. Scattering theory; 20. Open quantum systems; Part V. Quantum Foundations: 21. Quantum measurements; 22. Interpretations and challenges; Appendix A Useful formulas; Appendix B Special functions; Appendix C Elements of group theory; References.

Recenzii

'Anchored in foundational principles and mathematics, and garnished with historical and philosophical insight, Dr. Anastopoulos presents a comprehensive view of quantum mechanics. Coupled with an engaging and clear style, this text is appealing at the advanced undergraduate level, graduate level, and beyond.' Kevin Kelley, Brigham Young University
'Written in an engaging style, this textbook is a lucid addition to the scientific catalogue on quantum theory. Its notable strengths are the coverage of contemporary topics, the mathematical rigour in traditional topics, and the careful explanations of subtle topics.' Andrew Akeroyd, University of Southampton
'Introductory textbooks on quantum mechanics tend to restrict much of their attention to systems with finite-dimensional state spaces and thereby miss important issues related to unbounded operators and domain questions. Books with adequate coverage of those topics often presuppose ample mathematical proficiency. One virtue of the approach taken by Anastopoulos is to introduce a broader readership to matters of this kind.' Jürgen Fuchs, Karlstad University
'Quantum Theory by Charis Anastopoulos is a beautiful, well-written book that explores the foundations of quantum theory in a clear, thorough, and elegant way. I expect that Quantum Theory will become an important text that will serve a broad audience. In particular, it will take a special place that introduces undergraduates to the ideas of quantum theory while providing them with an accessible path to all the wonderful topics that they will want to pursue later-as an undergraduate researcher, a graduate student, or to come back to for fun. It will certainly become a 'go-to' book.' Christopher G. Fasano, Monmouth College

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Descriere

The first graduate textbook to combine wide-ranging applications of quantum theory with an in-depth presentation of foundations.