By Yupeng Wang,Wen-Li Yang,Junpeng Cao,Kangjie Shi
This e-book serves as an creation of the off-diagonal Bethe Ansatz strategy, an analytic concept for the eigenvalue challenge of quantum integrable versions. It additionally offers a few primary wisdom approximately quantum integrability and the algebraic Bethe Ansatz strategy. in response to the intrinsic houses of R-matrix and K-matrices, the publication introduces a scientific solution to build operator identities of move matrix. those identities enable one to set up the inhomogeneous T-Q relation formalism to procure Bethe Ansatz equations and to retrieve corresponding eigenstates. a number of longstanding types can therefore be solved through this technique because the loss of noticeable reference states is made up. either the precise effects and the off-diagonal Bethe Ansatz strategy itself can have vital functions within the fields of quantum box idea, low-dimensional condensed topic physics, statistical physics and chilly atom systems.
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