Fractional supersymmetric quantum mechanics

被引:0
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作者
Daoud, M
Kibler, M
机构
[1] Univ Ibn Zohr, Fac Sci, Phys Mat Condensee Lab, Agadir, Morocco
[2] Univ Lyon 1, F-69622 Villeurbanne, France
[3] CNRS, IN2P3, Inst Phys Nucl, F-69622 Villeurbanne, France
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中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In this paper, two approaches of N = 2 fractional supersymmetric quantum mechanics of order k are studied in a complementary way. The first one, based on a generalized Weyl-Heisenberg algebra W-k, (that comprizes the affine quantum algebra U-q(sl(2)) with q(k) = 1 as a special case), apparently contains solely one bosonic degree of freedom. The second one uses generalized bosonic and k-fermionic degrees of freedom. As an illustration, particular emphasis is put on the fractional supersymmetric oscillator of order k.
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页码:S43 / S51
页数:9
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