Yayınlanmış 1 Ocak 2001 | Sürüm v1

q-deformed supersymmetric Newton oscillators

Yazarlar/Oluşturanlar

Açıklama

WE construct a two-parameter deformed superoscillator algebra of n-bosonic and m-fermionic q-deformed Newton oscillators. These deformed oscillators are invariant under the undeformed Lie supergroup U(n / m). It is shown that the bilinears constructed from the annihilation and creation operators of this deformed superoscillator algebra satisfy (q(1), q(2))-deformed commutation relations which can be used to define a deformed Lie superalgebra os(q1,q2) (2n / 2m, R) whose Lie super subalgebra u(n / m) is undeformed.

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bib-d8460e0a-7503-460a-ae86-0c30fc5e1ed4.txt

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