ID 109
著者
桑原, 類史 Department of Mathematical Sciences, Faculty of Integrated Arts and Sciences, The University of Tokushima 徳島大学 教育研究者総覧 KAKEN研究者をさがす
資料タイプ
紀要論文
抄録
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
掲載誌名
Journal of mathematics, Tokushima University
ISSN
00754293
cat書誌ID
AA00701816
29
開始ページ
9
終了ページ
22
並び順
9
発行日
1996-02-20
備考
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
64233
フルテキストファイル
言語
eng
部局
理工学系