منابع مشابه
ua nt - p h / 04 07 25 1 v 1 2 9 Ju l 2 00 4 Bell Gems : the Bell basis generalized
A class of self-similar sets of entangled quantum states is introduced, for which a recursive definition is provided. These sets, the “Bell gems,” are defined by the subsystem exchange symmetry characteristic of the Bell states. Each Bell gem is shown to be an orthonormal basis of maximally entangled elements.
متن کاملGeneralized Near-Bell Numbers
The nth near-Bell number, as defined by Beck, enumerates all possible partitions of an n-multiset with multiplicities 1, 1, 1, . . . , 1, 2. In this paper we study the sequences arising from a generalization of the near-Bell numbers, and provide a method for obtaining both their exponential and their ordinary generating functions. We derive various interesting relationships amongst both the gen...
متن کاملThe Generalized Stirling and Bell Numbers Revisited
The generalized Stirling numbers Ss;h(n, k) introduced recently by the authors are shown to be a special case of the three parameter family of generalized Stirling numbers S(n, k;α, β, r) considered by Hsu and Shiue. From this relation, several properties of Ss;h(n, k) and the associated Bell numbers Bs;h(n) and Bell polynomials Bs;h|n(x) are derived. The particular case s = 2 and h = −1 corres...
متن کاملSpivey's Generalized Recurrence for Bell Numbers
This entry defines the Bell numbers [1] as the cardinality of set partitions for a carrier set of given size, and derives Spivey’s generalized recurrence relation for Bell numbers [2] following his elegant and intuitive combinatorial proof. As the set construction for the combinatorial proof requires construction of three intermediate structures, the main difficulty of the formalization is hand...
متن کاملBell polynomials and generalized Blissard problems
We introduce two possible generalizations of the classical Blissard problem and we show how to solve them by using the second order and multi-dimensional Bell polynomials, whose most important properties are recalled. © 2010 Elsevier Ltd. All rights reserved.
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2004
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2004.07.037