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<p>Heisenberg <i>XX</i>0 chain on semi-infinte chain enables modelling of random walks restricted by presence of impenetrable wall. The state vectors of the Hamiltonian are represented in terms of symplectic Schur functions. The transition amplitudes of the model are obtained in the integral form and are estimated in the case of unlimited increasing of the number of steps of random walks. Bibliography: 26 titles.</p>

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SEMI-INFINITE HEISENBERG XX0 CHAIN AND RANDOM WALKS

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • N. M. Bogoliubov,
  • C. L. Malyshev

摘要

Heisenberg XX0 chain on semi-infinte chain enables modelling of random walks restricted by presence of impenetrable wall. The state vectors of the Hamiltonian are represented in terms of symplectic Schur functions. The transition amplitudes of the model are obtained in the integral form and are estimated in the case of unlimited increasing of the number of steps of random walks. Bibliography: 26 titles.