Exact eigenvalues of the Ising Hamiltonian in one-, two- and three-dimensions in the absence of a magnetic field

DOI10.1016/S0378-4371(00)00318-6zbMath0971.82504OpenAlexW2108322798WikidataQ127360321 ScholiaQ127360321MaRDI QIDQ1588854

J. M. Dixon, M. L. A. Nip, Jack A. Tuszyński

Publication date: 5 December 2000

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(00)00318-6

zbMATH Keywords

combinatoricspartition functionunitary 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)

Related Items (2)

Eigenvalues of Ising connection matrix with long-range interaction ⋮ Influence of long-range interaction on degeneracy of eigenvalues of connection matrix of d-dimensional Ising system

Cites Work

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

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