Exact solution of the px + ipy pairing Hamiltonian by deforming the pairing algebra

Abstract

The present paper makes a connection between collective bosonic states and the exact solutions of the px + ipy pairing Hamiltonian. This makes it possible to investigate the effects of the Pauli principle on the energy spectrum, by gradually reintroducing the Pauli principle. It also introduces an efficient and stable numerical method to probe all the eigenstates of this class of Hamiltonians.

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