Search Results - "Lulek, T."

Separation of spherically and translationally covariant finite quantum spaces within the XXX model by Lulek, T., Stagraczyński, R., Łabuz, M.

“…A method of separation of subspaces with definite values of the total spin, its z-projection and quasimomentum, within the state space of the XXX model, i.e…”
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Galois symmetry of string structure of quanta of phase in the XXX heptagonal ring by Lulek, T., Łabuz, M., Milewski, J., Stagraczyński, R.

“…An arithmetic qubit, separated from the state space of the heptagonal magnetic ring within the XXX model in the three-magnon sector at the center of the…”
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Crystallographic interpretation of Galois symmetries for magnetic pentagonal ring by Milewski, J., Lulek, T., Łabuz, M.

“…Galois symmetry of exact Bethe Ansatz eigenstates for the magnetic pentagonal ring within the XXX model are investigated by a comparison with crystallographic…”
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Algebraic and geometric properties of Bethe Ansatz eigenfunctions on a pentagonal magnetic ring by Milewski, J., Banaszak, G., Lulek, T., Labuz, M.

“…The exact solution of the eigenproblem of the Heisenberg Hamiltonian for the XXX model in the case of a magnetic ring with N=5 nodes is presented in a closed…”
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Internal parity symmetry and degeneracy of Bethe Ansatz strings in the isotropic heptagonal magnetic ring by Milewski, J., Lulek, B., Lulek, T., Łabuz, M., Stagraczyński, R.

“…The exact Bethe eigenfunctions for the heptagonal ring within the isotropic XXX model exhibit a doubly degenerated energy level in the three-deviation sector…”
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Rigged strings and quasimomenta in Bethe Ansatz by Lulek, B., Lulek, T., Labuz, M., Stagraczynski, R.

“…We propose a modification of the classification of exact Bethe Ansatz eigenstates for a finite Heisenberg magnetic ring in terms of rigged string…”
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A combinatoric description of Bethe Ansatz solutions for nanoscopic systems by Lulek, T.

“…Bethe Ansatz provides an exact classification of eigenstates of the Heisenberg Hamiltonian for a finite magnetic ring, consisting of N nodes, each with the…”
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Kostka matrices at the level of bases and the complete set of commuting Jucys–Murphy operators by Lulek, B., Lulek, T., Jakubczyk, P., Jakubczyk, D.

“…A method for evaluation of Kostka matrices at the level of bases, and determination of related irreducible basis of the Weyl duality is proposed. The method…”
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Galois Symmetries of Bethe Parameters for the Heisenberg Pentagon by Banaszak, G., Lulek, B., Lulek, T., Milewski, J., Szydło, B.

“…In this paper the field generated by the Bethe parameters related to the XXX model for the Heisenberg pentagon is considered. For the interior of the Brillouin…”
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Rigged strings, Bethe Ansatz, and the geometry of the classical configuration space of the Heisenberg magnetic ring by Lulek, T., Lulek, B., Jakubczyk, D., Jakubczyk, P.

“…Composition of two combinatoric algorithms, Robinson–Schensted (RS) and Kerov–Kirillov–Reshetikhin (KKR), defines the bijection which maps the set of all…”
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Fibre structure of a model manifold of classical configuration space in Bethe ansatz by Milewski, J., Lulek, B., Lulek, T.

“…Within Bethe ansatz approach, the system of r Bethe pseudoparticles on a magnetic ring of N nodes is characterised by a finite set of magnetic configurations…”
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The basis of wavelets for a finite Heisenberg magnet by Lulek, B., Lulek, T., Wal, A., Jakubczyk, P.

“…We propose here a method for an immediate diagonalisation of the XXX Heisenberg magnetic ring for the spin 1 2 with a finite number N of nodes. The key…”
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Magnetic interpretation of the Robinson-Schensted-Knuth algorithm by Lulek, T., Jakubczyk, P., Jakubczyk, D.

“…Combinatorial aspects of the Robinson-Schensted-Knuth (RSK) algorithm have been discused in the context of a Heisenberg magnetic ring with N nodes, each with…”
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Magnetic Pentagonal Ring - Galois Extensions and Crystallography by Labuz, M., Lulek, T.

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Galois symmetry of energy levels of the XXX model for the case of octagonal two-magnon states on the generic star of quasimomentum by Lulek, T., Łabuz, M., Milewski, J., Stagraczyński, R.

“…We consider the factor υ of the characteristic polynomial wH (x) of the Heisenberg Hamiltonian Ĥ of the XXX model, corresponding to the generic star [k = ±1,…”
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Some New Approaches of the XXX Heisenberg Model of the Two-Magnon Sector by Łabuz, M., Milewski, J., Lulek, T.

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Matrix Representation of Constants of Motion for One-Dimensional Heisenberg Magnet by Jakubczyk, P., Labuz, M., Lulek, T.

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Computer implementation of the Kerov–Kirillov–Reshetikhin algorithm by Jakubczyk, P., Wal, A., Jakubczyk, D., Lulek, T.

“…The Kerov–Kirillov–Reshetikhin (KKR) algorithm establishes a bijection between semistandard Weyl tableaux of the shape λ and weight μ and rigged string…”
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Magnons in the Heisenberg model with a dynamical scaling symmetry by Caspers, W.J., Kuźma, M., Lulek, B., Lulek, T.

“…A special Heisenberg model is considered for which the exchange integral takes on the same value J not only for geometrically equivalent neighbours, but also…”
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The role of the Manhattan distance in antiferromagnetic ordering by Tielen, G.J., Lulek, T., Traa, M.R.M.J., Kuzma, M., Caspers, W.J.

“…The lowest state of one- and two-dimensional antiferromagnetic Heisenberg systems for a given number of “up” and “down” spins shows preference for certain…”
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