In this work, we provide two algorithms to construct solvable quantum many-body models of $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k particles. Each algorithm will start with a solvable model and generate… Click to show full abstract
In this work, we provide two algorithms to construct solvable quantum many-body models of $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k particles. Each algorithm will start with a solvable model and generate a series of solvable Hamiltonians through iteration. We also provide two examples in which a 8-body and a 9-body will be constructed step by step.
               
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