Probabilities on the Heisenberg Group: Limit Theorems and Brownian Motion / Edition 1

Probabilities on the Heisenberg Group: Limit Theorems and Brownian Motion / Edition 1

by Daniel Neuenschwander
     
 

The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The

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Overview

The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.

Product Details

ISBN-13:
9783540614531
Publisher:
Springer Berlin Heidelberg
Publication date:
08/19/1996
Series:
Lecture Notes in Mathematics Series, #1630
Edition description:
1996
Pages:
148
Product dimensions:
9.21(w) x 6.14(h) x 0.33(d)

Table of Contents

Probability theory on simply connected nilpotent Lie groups.- Brownian motions on H.- Other limit theorems on H.

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