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  2. Bethe lattice - Wikipedia

    en.wikipedia.org/wiki/Bethe_lattice

    The Ising model is a mathematical model of ferromagnetism, in which the magnetic properties of a material are represented by a "spin" at each node in the lattice, which is either +1 or -1. The model is also equipped with a constant K {\displaystyle K} representing the strength of the interaction between adjacent nodes, and a constant h ...

  3. Bethe ansatz - Wikipedia

    en.wikipedia.org/wiki/Bethe_ansatz

    In physics, the Bethe ansatz is an ansatz for finding the exact wavefunctions of certain quantum many-body models, most commonly for one-dimensional lattice models.It was first used by Hans Bethe in 1931 to find the exact eigenvalues and eigenvectors of the one-dimensional antiferromagnetic isotropic (XXX) Heisenberg model.

  4. Gaudin model - Wikipedia

    en.wikipedia.org/wiki/Gaudin_model

    One problem in the theory of Gaudin models is then to determine when a given configuration is complete or not, or at least characterize the 'space of models' for which the Bethe ansatz is complete. For g = s l 2 {\displaystyle {\mathfrak {g}}={\mathfrak {sl}}_{2}} , for z i {\displaystyle z_{i}} in general position the Bethe ansatz is known to ...

  5. Quantum Heisenberg model - Wikipedia

    en.wikipedia.org/wiki/Quantum_Heisenberg_model

    Limits of the model as the lattice spacing is sent to zero (and various limits are taken for variables appearing in the theory) describes integrable field theories, both non-relativistic such as the nonlinear Schrödinger equation, and relativistic, such as the sigma model, the sigma model (which is also a principal chiral model) and the sine ...

  6. Spin chain - Wikipedia

    en.wikipedia.org/wiki/Spin_chain

    A simplified illustration of the spin chain model. The spin of the ith site can interact with the spins from the i - 1 and i + 1 sites. A spin chain is a type of model in statistical physics. Spin chains were originally formulated to model magnetic systems, which typically consist of particles with magnetic spin located at fixed sites on a lattice.

  7. Jennifer Schwarz - Wikipedia

    en.wikipedia.org/wiki/Jennifer_Schwarz

    Jennifer "Jen" Marie Schwarz is an American physicist whose research applies ideas from condensed matter physics including percolation theory, jamming, dislocation avalanches, and rigidity transitions to biological structures and quantum systems. She is a professor of physics at Syracuse University. [1]

  8. Mean-field theory - Wikipedia

    en.wikipedia.org/wiki/Mean-field_theory

    The idea first appeared in physics (statistical mechanics) in the work of Pierre Curie [6] and Pierre Weiss to describe phase transitions. [7]MFT has been used in the Bragg–Williams approximation, models on Bethe lattice, Landau theory, Curie-Weiss law for magnetic susceptibility, Flory–Huggins solution theory, and Scheutjens–Fleer theory.

  9. Yang–Baxter equation - Wikipedia

    en.wikipedia.org/wiki/Yang–Baxter_equation

    The hunt for solvable lattice models has been actively pursued since then, culminating in Baxter's solution of the eight vertex model [5] in 1972. Another line of development was the theory of factorized S-matrix in two dimensional quantum field theory. [ 6 ]