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Hadamard matrices and spin models

✍ Scribed by Mieko Yamada


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
509 KB
Volume
51
Category
Article
ISSN
0378-3758

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πŸ“œ SIMILAR VOLUMES


Cocyclic Hadamard Matrices and Hadamard
✍ D.L. Flannery πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 344 KB

In this paper, we prove that the concepts of cocyclic Hadamard matrix and Hadamard group are equivalent. A general procedure for constructing Hadamard groups and classifying such groups on the basis of isomorphism type is given. To illustrate the ideas, cocyclic Hadamard matrices over dihedral group

Generalized Hadamard matrices whose tran
✍ R. Craigen; W. de Launey πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 69 KB

## Abstract In answer to β€œResearch Problem 16” in Horadam's recent book __Hadamard matrices and their applications__, we provide a construction for generalized Hadamard matrices whose transposes are not generalized Hadamard matrices. Β© 2009 Wiley Periodicals, Inc. J Combin Designs 17: 456–458, 2009

Molecular orbitals and Hadamard matrices
✍ K. Balasubramanian πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 540 KB

The orthogonal set of molecular orbitals can be constructed from Hadamard matrices. The nodal properties of molecular orbitals can be inferred from the sign changes in the rows of Hadamard matrices. Number of inequivalent sets of orthogonal MOs is given by the number of equivalence classes of Hadama

Modular sequences and modular Hadamard m
✍ Shalom Eliahou; Michel Kervaire πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 227 KB

## Abstract For every __n__ divisible by 4, we construct a square matrix __H__ of size __n__, with coefficients ± 1, such that __H · H^t^ ≑ nI__ mod 32. This solves the 32‐modular version of the classical Hadamard conjecture. We also determine the set of lengths of 16‐modular Golay sequences. Β© 200