| 书目名称 | Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction | | 编辑 | Alberto Parmeggiani | | 视频video | | | 概述 | 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 resul | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | 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,?)? R×R,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. | | 出版日期 | Book 2010 | | 关键词 | calculus; differential calculus; dynamics; eigenvalue; operator; quantization; partial differential equati | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-11922-4 | | isbn_softcover | 978-3-642-11921-7 | | isbn_ebook | 978-3-642-11922-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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发表于 2025-3-21 16:10:08
