Geometric Analysis on the Heisenberg Group and Its Generalizations

American Mathematical Society (Autor)

Buch | Hardcover

2007
American Mathematical Society (Verlag)
978-0-8218-4319-2 (ISBN)

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The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. This book examines the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics.

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.

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.

Erscheint lt. Verlag	30.5.2007
Reihe/Serie	AMS/IP Studies in Advanced Mathematics
Zusatzinfo	Illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	600 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-4319-2 / 0821843192
ISBN-13	978-0-8218-4319-2 / 9780821843192
Zustand	Neuware