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Two Algorithms for Constructing Solvable Quantum $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k-Body Models

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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.

Keywords: solvable quantum; two algorithms; body models; cdot cdot; cdot; body

Journal Title: Few-Body Systems
Year Published: 2018

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