Geometric Analysis on the Heisenberg Group and Its Generalizations (Ams/Ip Studies in Advanced Mathematics)

By C Wooff and D Hodgkinson

The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. In this book, the authors examine the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics. In particular, the behavior of geodesics in this setting plays an important role in finding heat kernels and propagators for Schrodinger's equation. One of the novelties of this book is the introduction of techniques from complex Hamiltonian mechanics. This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 0821843192
• ISBN13: 9780821843192
• Release Date: May 2007
• Publisher: American Mathematical Society(RI)
• Length: 244 Pages