淡江大學機構典藏:Item 987654321/27498
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    題名: Anyon equation on a torus
    作者: 何俊麟;Ho, Choon-lin;Hosotani, Yutaka
    貢獻者: 淡江大學物理學系
    日期: 1992-09-20
    上傳時間: 2009-12-31 10:12:46 (UTC+8)
    出版者: World Scientific Publishing
    摘要: Starting from the quantum field theory of nonrelativistic matter on a torus interacting with Chern-Simons gauge fields, we derive the Schrödinger equation for an anyon system. The nonintegrable phases of the Wilson line integrals on a torus play an essential role. In addition to generating degenerate vacua, they enter in the definition of a many-body Schrödinger wave function in quantum mechanics, which can be defined as a regular function of the coordinates of anyons. It obeys a non-Abelian representation of the braid group algebra, being related to Einarsson’s wave function by a singular gauge transformation.
    關聯: International Journal of Modern Physics A 7(23), pp.5797-5381
    DOI: 10.1142/S0217751X92002647
    顯示於類別:[物理學系暨研究所] 期刊論文

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