Some remarks on the spectra of the Heisenberg linear chain

Ananthakrishna, G. (1973) Some remarks on the spectra of the Heisenberg linear chain Il Nuovo Cimento - B, 16 (1). pp. 106-114. ISSN 0369-3554

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Official URL: http://www.springerlink.com/content/xp42825lr96153...

Related URL: http://dx.doi.org/10.1007/BF02749740

Abstract

By means of Bethe's ansatz, several theorems concerning the Heisenberg linear chain are proved. The total translational quantum number K for the state of maximum energy for a given value of the total spin is determined by the number of spin deviations r. When r = 2, it takes on a value of 2p for both the state of maximum and minimum energy of the class of « unbound » states. The interaction parameter Φ vanishes identically for the states with total spin S =N/2 and S =N/2 - 1 for the states with r = 2.

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