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Two approaches to fractional supersymmetrical quantum mechanics
Author(s) -
Daoud M.,
Kibler M.
Publication year - 2003
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.10465
Subject(s) - degrees of freedom (physics and chemistry) , quantum , order (exchange) , physics , mathematical physics , quantum mechanics , quantum affine algebra , algebra over a field , affine transformation , mathematics , pure mathematics , algebra representation , finance , cellular algebra , economics
Two complementary approaches of = 2 fractional supersymmetrical quantum mechanics of order k are studied in this article. The first, based on a generalized Weyl–Heisenberg algebra W k (which comprises 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 uses generalized bosonic and k ‐fermionic degrees of freedom. As an illustration, a particular emphasis is put on the fractional supersymmetrical oscillator of order k. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2003