Geometric Quantization

Zusatztext ... an attractive presentation of a dynamic subject. Informationen zum Autor Dr N. M. J. Woodhouse, Wadham College, Oxford, OX1 3PN. Klappentext The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems! and continues to be a popular research topic. The ideas have proved useful in pure mathematics! notably in representation theory! as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The successful original edition of this book was published in 1980. Now it has been completely revised and extensively rewritten. The presentation has been simplified and many new examples have been added. The material on field theory has been expanded. Zusammenfassung This book presents a survey of the geometric quantization theory of Kostant and Souriau and was first published in 1980. It has been extensively rewritten and brought up to date, with the addition of many new examples. Inhaltsverzeichnis Symplectic geometry; Lagrangian and Hamiltonian mechanics symmetry; Hamilton-Jacobi theory; Complex polarizations; Elementary relativistic systems; Classical fields; Prequantization quantization; The metaplectic correction; Appendix; Notes; References; Index of notation; Index.

Product details

• Authors: N. M. J. Woodhouse, N. M. J. (Lecturer in Mathematics Woodhouse, Nicholas Woodhouse, Nick M. Woodhouse, Woodhouse N. M. J.
• Publisher: Oxford University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 01.08.1997
• EAN: 9780198502708
• ISBN: 978-0-19-850270-8
• No. of pages: 320
• Series: Oxford Mathematical Monographs; Oxford Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; SCIENCE / Physics / Quantum Theory, MATHEMATICS / Geometry / General, MATHEMATICS / Topology, geometry, Topology, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory)