Exact results of a hard-core interacting system with a single impurity

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The quantum-mechanical problem of a many-particle system with a single impurity in one-dimension, interacting by a delta-function, is solved. The wave-function for a bosonic system and the related secular equation for the spectrum are obtained. The energy per length is calculated in the thermodynamic limit.
Revtex, no figures, Zhejiang Univ, appeared in Phys. Rev. B52, Nov. 1995, rapid communications

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