The geometry of Heisenberg groups in signal theory, optics, quantization, and field quantization
By: Ernst Binz, Sonja Pods ; with an appendix by Serge Preston.
Contributors: Pods, Sonja, 1974-
Series: Mathematical surveys and monographs -- v. 151
Publisher: American Mathematical Society
Published: 2008
Place of publication: Providence, R.I
Language: eng
Number of pages: 299
ISBN-13: 9780821844953
Subjects: Heisenberg uncertainty principle -- Mathematics; Quantum theory -- Mathematics
Description: "The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--Jacket.
Notes: Includes bibliographical references and index.