منابع مشابه
Classical mixed partitions
Through a method given in [3], a mixed partition of PG(2n− 1, q2) can be used to construct a (2n− 1)-spread of PG(4n− 1, q) and, hence, a translation plane of order q2n. A mixed partition in this case is a partition of the points of PG(2n− 1, q2) into PG(n− 1, q2)’s and PG(2n− 1, q)’s which we call Baer subspaces. In this paper, we completely classify the mixed partitions which generate regular...
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We define a mixed partition of Π = PG(d, qr) to be a partition of the points of Π into subspaces of two distinct types, for instance, a partition of PG(2n− 1, q2) into (n− 1)-spaces and Baer subspaces of dimension 2n− 1. In this paper we provide a group theoretic method for constructing a robust class of such partitions. It is known that a mixed partition of PG(2n−1, q2) can be used to construc...
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We introduce analogues of the lattice of non-crossing set partitions for the classical reeection groups of type B and D. The type B analogues ((rst considered by Montenegro in a diierent guise) turn out to be as well-behaved as the original non-crossing set partitions, and the type D analogues almost as well-behaved. In both cases, they are EL-labellable ranked lattices with symmetric chain dec...
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We present a uniÐed derivation of the mean-Ðeld (Ehrenfest) and surfacehopping approaches to mixed quantumÈclassical dynamics that elucidates the underlying approximations of the methods and their strengths and weaknesses. We then report a quantitative test of alternative mixed quantumÈclassical methods against accurate quantum mechanical calculations for a simple one-dimensional curve-crossing...
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We present an analysis of the equilibrium limits of the two most widely used approaches for simulating the dynamics of molecular systems that combine both quantum and classical degrees of freedom. For a two-level quantum system connected to an infinite number of classical particles, we derive a simple analytical expression for the equilibrium mean energy attained by the self-consistent-field (E...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2004
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(04)00061-5