• 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...
    17 KB (2,316 words) - 18:26, 25 March 2024
  • solutions. Look up ansatz in Wiktionary, the free dictionary. Method of undetermined coefficients Bayesian inference Bethe ansatz Coupled cluster, a technique...
    6 KB (645 words) - 11:46, 5 September 2024
  • 1/2 Heisenberg model in one dimension may be solved exactly using the Bethe ansatz. In the algebraic formulation, these are related to particular quantum...
    16 KB (2,729 words) - 22:19, 14 August 2024
  • Hamiltonians. There are several methods of solution, including Algebraic Bethe ansatz, used by Gaudin Separation of variables, used by Sklyanin Correlation...
    14 KB (2,130 words) - 19:56, 6 September 2024
  • Thumbnail for Bethe lattice
    The solutions are related to the often used Bethe ansatz for these systems. When working with the Bethe lattice, it is often convenient to mark a given...
    10 KB (1,946 words) - 03:39, 5 October 2024
  • Thumbnail for Pauli exclusion principle
    dimension, and for other models solvable by Bethe ansatz. The ground state in models solvable by Bethe ansatz is a Fermi sphere. The Pauli exclusion principle...
    25 KB (3,449 words) - 13:58, 4 August 2024
  • eigenenergies as the complex roots λ p , j {\displaystyle \lambda _{p,j}} of a Bethe ansatz. Every λ p , j {\displaystyle \lambda _{p,j}} for p ∈ { 1 , 2 , . . ...
    32 KB (5,514 words) - 08:08, 19 September 2024
  • Thumbnail for Hans Bethe
    by Fermi and regretted that he had not gone to Rome first. Bethe developed the Bethe ansatz, a method for finding the exact solutions for the eigenvalues...
    67 KB (7,549 words) - 08:02, 17 October 2024
  • incorporated into the quantum inverse scattering method where the algebraic Bethe ansatz can be used to obtain explicit solutions. Examples of quantum integrable...
    28 KB (3,405 words) - 22:46, 4 October 2024
  • Thumbnail for Bethe–Salpeter equation
    in terms of Bethe—Salpeter amplitudes and Faddeev amplitudes, a well-known Ansatz of which is proposed by Maris and Tandy. Such an Ansatz for the dressed...
    13 KB (1,815 words) - 20:52, 29 September 2024