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OverviewThe 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. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA. Full Product DetailsAuthor: Ovidiu Calin , Der-Chen Chang , Peter GreinerPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: illustrated edition Volume: No. 40 Weight: 0.600kg ISBN: 9780821843192ISBN 10: 0821843192 Pages: 244 Publication Date: 01 May 2007 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable ![]() The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsGeometric mechanics on the Heisenberg group Geometric analysis of step 4 case The geometric analysis of step $2(k+1)$ case Geometry on higher dimensional Heisenberg groups Complex Hamiltonian mechanics Quantum mechanics on the Heisenberg group Bibliography Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |