Geometric Quantization

2. Auflage 1997
ISBN: 978-0-19-850270-8
Verlag: OUP Oxford

Buch, Englisch, 320 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 488 g

Reihe: Oxford Mathematical Monographs

The geometric approach to quantization was introduced by Kostant and Souriau more than twenty years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems. It 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 original edition of this book was published in 1980. For this edition it has been completely revised and extensively rewritten. The presentation has been simplified and a large number of examples have been added. The material on field theory has been expanded.

Autoren/Hrsg.

Woodhouse, Nick M.

Woodhouse, N. M. J.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Naturwissenschaften Physik Elektromagnetismus Quantenoptik, Nichtlineare Optik, Laserphysik
• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Geometrie

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.

Über Autor(innen)

Dr N. M. J. Woodhouse, Wadham College, Oxford, OX1 3PN.