Authors:
One of the main features is the use of techniques that are very powerful and flexible.
The approach could be used also for other problems.
Another feature constists of an exposition of different results that are scattered throughout the literature.
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1992)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- calculus
- differential calculus
- dynamics
- eigenvalue
- operator
- quantization
- partial differential equations
Reviews
From the reviews:
“The book under review presents the spectral theory of elliptic non-commutative harmonic oscillators, offering also useful information for more general elliptic differential systems. … The book consists of 12 chapters, one appendix and a complete list of references on the subject. … The book addresses important and difficult topics in mathematics. The results are presented in a rigorous, illuminating and elegant way.” (Dumitru Motreanu, Zentralblatt MATH, Vol. 1200, 2011)Authors and Affiliations
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Department of Mathematics, University of Bologna, Bologna, Italy
Alberto Parmeggiani
Bibliographic Information
Book Title: Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction
Authors: Alberto Parmeggiani
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-11922-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Softcover ISBN: 978-3-642-11921-7Published: 22 April 2010
eBook ISBN: 978-3-642-11922-4Published: 23 July 2010
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 260
Topics: Differential Equations, Global Analysis and Analysis on Manifolds, Theoretical, Mathematical and Computational Physics