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. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.
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Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Graduate students and research mathematicians interested in sub-Riemannian geometry and connections to quantum mechanics
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ISBN-13
978-0-8218-4319-2 (9780821843192)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Ovidiu Calin, Eastern Michigan University, Ypsilanti, MI; Der-Chen Chang, Georgetown University, Washington, DC; Peter Greiner, University of Toronto, ON, Canada
Geometric 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.
