Algebraic approach to interacting quantum systems
نویسندگان
چکیده
منابع مشابه
Algebraic approach to interacting quantum systems
We present an algebraic framework for interacting extended quantum systems to study complex phenomena characterized by the coexistence and competition of different states of matter. We start by showing how to connect different (spinparticle-gauge) languages by means of exact mappings (isomorphisms) that we name dictionaries and prove a fundamental theorem establishing when two arbitrary languag...
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Undergraduate physics emphasises the Schrödinger’s analytic approach in solving and understanding quantum systems. Although briefly mentioned, group-theoretic approach is not emphasised, at least in terms of mathematical rigour. I attempt to kill the two rabbits rigour and application. Part I develops the necessary formal theory of representation of finite group. In part II: Application, I prim...
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S Chaturvedi†∗, E Ercolessi‡, G Marmo§, G Morandi‖, N Mukunda¶ and R Simon †School of Physics, University of Hyderabad, Hyderabad 500 046, India ‡Physics Department, University of Bologna, INFM and INFN, Via Irnerio 46, I-40126, Bologna, Italy §Dipartimento di Scienze Fisiche, University of Napoli and INFN, Via Cinzia, I-80126 Napoli, Italy ‖ Physics Department, University of Bologna, INFM and ...
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A concept of quantum triad and its solution is introduced. It represents a common framework for several situations where we have a quantale with a right module and a left module, provided with a bilinear inner product. Examples include Van den Bossche quantaloids, quantum frames, simple and Galois quantales, operator algebras, or orthomodular lattices.
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ژورنال
عنوان ژورنال: Advances in Physics
سال: 2004
ISSN: 0001-8732,1460-6976
DOI: 10.1080/00018730310001642086