Group Actions and Classification of Quantum States of the Heisenberg Model of Magnetism

Tadeusz Lulek
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Tadeusz Lulek: Pedagogical University, Institute of Physics

A chapter in Algebraic Combinatorics and Applications, 2001, pp 261-272 from Springer

Abstract: Abstract The kinematics and dynamics of the Heisenberg model of magnetism is reviewed from the point of view of combinatorics. The general scheme of the duality of Weyl is presented at two levels: (i) the total space of all quantum states of the magnet, (ii) the subspace with the definite number of spin deviations. The role of dual actions of appropriate groups is emphasised and the corresponding quantum numbers are pointed out.

Keywords: Quantum State; Irreducible Representation; Young Tableau; Magnetic Configuration; Regular Orbit (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59448-9_17

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DOI: 10.1007/978-3-642-59448-9_17

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