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Encyclopedia > Bethe ansatz

In physics, the Bethe Ansatz is a method for finding the exact solutions of certain quantum many-body models. It was invented by Hans Bethe in 1931 to find the exact eigenvalues and eigenvectors of the one-dimensional antiferromagnetic Heisenberg model Hamiltonian. Ansatz is a German word equivalent in this usage to "approach", thus the Bethe Ansatz translates to "the Bethe Approach". The first few hydrogen atom electron orbitals shown as cross-sections with color-coded probability density. ... Hans Bethe in 1945. ... The Heisenberg model is the case of the n-vector model, one of the models used in Statistical Physics in order to model ferromagnetism and other phenomena. ...


External links

  • Introduction to the Bethe Ansatz

 

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