Martin Greiter, Dirk Schuricht
Abstract
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We establish a one-to-one correspondence between the Young tableaux classifying the total spin representations of N spins and the exact eigenstates of the Haldane-Shastry model for a chain with N sites classified by the total spins and the fractionally spaced single-particle momenta of the spinons.
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We establish a one-to-one correspondence between the Young tableaux classifying the total spin representations of N spins and the exact eigenstates of the Haldane-Shastry model for a chain with N sites classified by the total spins and the fractionally spaced single-particle momenta of the spinons.
Key concepts: Spinon, Spins, Young tableau, Physics, Eigenvalues and eigenvectors, Spin (aerodynamics), Quantum mechanics, Chain (unit)