2021
DOI: 10.48550/arxiv.2105.12343
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A group method solving many-body systems in intermediate statistical representation

Yao Shen,
Chi-Chun Zhou,
Wu-sheng Dai
et al.

Abstract: The exact solution of the interacting many-body system is important and is difficult to solve. In this paper, we introduce a group method to solve the interacting many-body problem using the relation between the permutation group and the unitary group. We prove a group theorem first, then using the theorem, we represent the Hamiltonian of the interacting many-body system by the Casimir operators of unitary group. The eigenvalues of Casimir operators could give the exact values of energy and thus solve those pr… Show more

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