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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
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Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction

Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction

Parmeggiani, Alberto

Paperback

Series: Lecture Notes in Mathematics, Book 1992

General MathematicsPhysics

ISBN10: 3642119212
ISBN13: 9783642119217
Publisher: Springer
Published: Apr 22 2010
Pages: 260
Weight: 0.85
Height: 0.58 Width: 6.14 Depth: 9.21
Language: English
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.

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