{"product_id":"applications-of-unitary-symmetry-and-combinatorics","title":"Applications Of Unitary Symmetry And Combinatorics","description":"This monograph  is a synthesis of the theory of  the pairwise coupling of  the angular momenta of arbitrarily many independent systems to the total angular momentum in which the universal role of doubly stochastic matrices and their quantum-mechanical probabilistic interpretation  is a major theme. A uniform viewpoint is presented based on the structure of binary trees. This includes a systematic method for the  evaluation of all 3n-j coefficients and their relationship to cubic graphs. A number of topical subjects that emerge naturally are also developed, such as the algebra of permutation matrices, the  properties of magic squares and an associated generalized Regge form, the Zeilberger counting formula for alternating sign matrices, and the Heisenberg ring problem, viewed as a composite system in which the total angular momentum is conserved.The readership is intended to be advanced graduate students and researchers interested in learning about the relationship between unitary symmetry and combinatorics and challenging unsolved problems. The many examples serve partially as exercises, but this monograph is not a textbook. It is hoped that the topics presented promote further and more rigorous developments that lead to a  deeper understanding of the angular momentum properties of complex systems viewed as composite wholes.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":54234193297752,"sku":"9789814350716","price":132.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9789814350716_077c5901-b209-487c-b441-fc2ba2c6d5bb.jpg?v=1777245324","url":"https:\/\/agendabookshop.com\/products\/applications-of-unitary-symmetry-and-combinatorics","provider":"Agenda Bookshop","version":"1.0","type":"link"}