分数超对称量子力学：分数超对称振子
数学物理
2017-08-23 v1 高能物理 - 理论
math.MP
量子物理
摘要
从三种途径推导了分数超对称振子的哈密顿量。第一种基于一种分解，其中 Q-uon 产生一个寻常玻色子与一个 k-费米子（k-费米子是介于玻色子与费米子之间的对象）。第二种始于广义 Weyl-Heisenberg 代数。最后，第三种依赖于量子代数 Uq(sl(2))，其中 q 为单位根。
引用
@article{arxiv.math-ph/0101009,
title = {On Fractional Supersymmetric Quantum Mechanics: The Fractional Supersymmetric Oscillator},
author = {M. Daoud and M. R. Kibler},
journal= {arXiv preprint arXiv:math-ph/0101009},
year = {2017}
}
备注
14 pages, LaTex file. Paper written from a lecture presented (by M.R.K.) at the Sixth International School on Theoretical Physics ``Symmetry and Structural Properties of Condensed Matter'', a school devoted to the memory of Louis Michel, Myczkowce (Poland), 31 August - 6 September 2000. To be published in ``Symmetry and Structural Properties of Condensed Matter'', eds. T. Lulek, B. Lulek and A. Wal (World Scientific, Singapore, 2001)