We show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous model is computed exactly and the spectral gap is described for some examples. We construct our inhomogeneous model from two different homogeneous models joined by one special bond (impurity). The homogeneous models we started with are the coagulation/decoagulation models studied previously using the Jordan-Wigner transformation.
Cited by 1
Caudrelier, Interplay between the Inverse Scattering Method and Fokas's Unified Transform with an Application
Studies in Applied Mathematics 140, 3 (2018) [Crossref]
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- 1 2 Nicolas Crampé