ID 109
Author
Kuwabara, Ruishi Department of Mathematical Sciences, Faculty of Integrated Arts and Sciences, The University of Tokushima Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Content Type
Departmental Bulletin Paper
Description
This paper studies the relationship between the classical mechanics in a magnetic field and its quantized system. The phase space for classical motion in a magnetic field is derived through the Marsden-Weinstein reduction starting with a principal U(1)-bundle. The quantized system associated to the classical system is defined as the Bochner-Laplacian on a line bundle associated to the principal bundle. In this context we obtain a generalization of Helton's theorem which gives a characterization of the periodicity of the classical trajectories by the spectrum of the associated quantum Hamiltonian (the Bochner-Laplacian). 1991 Mathematics Subject Classification. Primary 58G25: Secondary 58F05
Journal Title
Journal of mathematics, Tokushima University
ISSN
00754293
NCID
AA00701816
Volume
29
Start Page
9
End Page
22
Sort Key
9
Published Date
1996-02-20
Remark
公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。
EDB ID
FullText File
language
eng
departments
Science and Technology