An algorithm to obtain exact eigenvalues and eigenstates of the arbitrary spin Ising Hamiltonian in \(d\) dimensions

DOI10.1016/S0375-9601(01)00263-8zbMath0974.82016OpenAlexW2050365262MaRDI QIDQ5936606

Jack A. Tuszyński, J. M. Dixon

Publication date: 2 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00263-8

zbMATH Keywords

combinatoricsIsing modelunitary transformations

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Statistics of the Two-Dimensional Ferromagnet. Part I
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
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