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The plancherel formula for the infinite XXZ Heisenberg spin chain

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Abstract

In this Letter we discuss the explicit Plancherel formula for the Bethe Ansatz eigenstates for the Hamiltonian of the infinite XXZ Heisenberg-Ising spin chain in the N-magnon sectors: N=2, 3,... In particular, we shall point out that a striking spectral phenomenon occurs when the coupling constant c is such that 0<|c|<1.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of California, 90024, Los Angeles, CA, U.S.A.

    Donald Babbitt

  2. Department of Mathematics, University of Southern California, 90089, Los Angeles, CA, U.S.A.

    Eugene Gutkin

Authors
  1. Donald Babbitt
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  2. Eugene Gutkin
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Partially supported by the NSF

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Babbitt, D., Gutkin, E. The plancherel formula for the infinite XXZ Heisenberg spin chain. Lett Math Phys 20, 91–99 (1990). https://doi.org/10.1007/BF00398274

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  • DOI: https://doi.org/10.1007/BF00398274

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