Abstract
I give a brief review of boson realizations in quantum many-body theory and how the Dyson-Maleev type mappings give rise to quasi- (or pseudo-) Hermitian structures. In this context it is emphasised that non-Hermiticity of a mapped Hamiltonian is directly linked to a choice of basis states (or the implied inner product). The role of a physical subspace and the necessity to have a formalism which can identify this subspace is highlighted.
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Geyer, H.B. Non-Hermiticity, Boson Realizations, and the Role of a Physical Subspace. Czechoslovak Journal of Physics 54, 51–56 (2004). https://doi.org/10.1023/B:CJOP.0000014367.09137.b7
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DOI: https://doi.org/10.1023/B:CJOP.0000014367.09137.b7