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Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction - Lecture Notes in Mathematics 1992 (Paperback)
  • Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction - Lecture Notes in Mathematics 1992 (Paperback)
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Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction - Lecture Notes in Mathematics 1992 (Paperback)

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£40.99
Paperback 260 Pages / Published: 22/04/2010
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This book grew out of a series of lectures given at the Mathematics Department of Kyushu University in the Fall 2006, within the support of the 21st Century COE Program (2003-2007) "Development of Dynamical Mathematics with High Fu- tionality" (Program Leader: prof. Mitsuhiro Nakao). It was initially published as the Kyushu University COE Lecture Note n- ber 8 (COE Lecture Note, 8. Kyushu University, The 21st Century COE Program "DMHF", Fukuoka, 2008. vi+234 pp.), and in the present form is an extended v- sion of it (in particular, I have added a section dedicated to the Maslov index). The book is intended as a rapid (though not so straightforward) pseudodiff- ential introduction to the spectral theory of certain systems, mainly of the form a +a where the entries of a are homogeneous polynomials of degree 2 in the 2 0 2 n n (x,?)-variables, (x,?)? RxR,and a is a constant matrix, the so-called non- 0 commutative harmonic oscillators, with particular emphasis on a class of systems introduced by M. Wakayama and myself about ten years ago. The class of n- commutative harmonic oscillators is very rich, and many problems are still open, and worth of being pursued.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783642119217
Number of pages: 260
Weight: 860 g
Dimensions: 235 x 155 x 14 mm
Edition: 2010 ed.


MEDIA 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)

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