APPLN OF UNITARY SYMMETRY & COMBINATORIC

APPLN OF UNITARY SYMMETRY & COMBINATORIC

Tekijä: Louck James D
Kustantaja: World Scientific Publishing Company
Julkaisuvuosi: 2011
ISBN: 9789814350716

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Maksa Klarnalla
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Key Features:
  • A synthesis of the theory of the coupling of many-body angular momentum systems with application to the universal role of doubly stochastic matrices and their quantum-mechanical probabilistic interpretation
  • An application of binary coupling theory to the Heisenberg ring Hamiltonian, viewed as a composite system in which the total angular momentum is conserved. The cases for two, three, and four systems are solved exactly
  • New formulas for the number of magic squares and a generalization of the Regge form for the coupling of two angular momenta to a general method of realizing all magic squares
  • New perspective of the Zeilberger formula for counting the number of alternating sign matrices, based on zeros
  • Development of little-known properties of the algebra of permutation matrices with applications

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