Geometric Analysis on the Heisenberg Group and Its Generalizations
( AMS/IP Studies in Advanced Mathematics )
Publication series ：AMS/IP Studies in Advanced Mathematics
Author： Ovidiu Calin;Der-Chen Chang;Peter Greiner
Publisher： American Mathematical Society
Publication year： 2017
E-ISBN: 9781470438296
P-ISBN(Paperback): 9780821843192
Subject： O182 Analytic Geometry
Keyword： 暂无分类
Language： ENG
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Geometric Analysis on the Heisenberg Group and Its Generalizations
Description
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 Schrödinger's equation. One of the novelties of this book is the introduction of techniques from complex Hamiltonian mechanics.
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