On the q-analogues of the Zassenhaus formula for disentangling exponential operators

[摘要] Katriel, Rasetti and Solomon introduced a q-analogue of the Zassenhaus formula written as e(q)((A+B)) = e(q)(A)2e(q)(B)e(q)(c2)e(q)(c3)e(q)(c4)e(q)(c5)..., where A and B are two generally noncommuting operators and e(q)(z) is the Jackson q- exponential, and derived the expressions for c(2), c(3) and c(4). It is shown that one can also write e(q)((A+B)) = e(q)(A)e(q)(B)e(q2)(c2)e(q3)(c3)e(q4)(c4)e(q5)(c5)... Explicit expressions for C-2, C-3 and C-4 are given. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-11-01

[效力级别]  Proceedings Paper

[关键词] Zassenhaus formula;q-analogue;q-functions