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Fermionic Model with a Non-Hermitian Hamiltonian

Authors: Bebiano, N; da Providencia, J; Nishiyama, S; da Providencia, JP

Ref.: Braz. J. Phys. 50(2), 143-152 (2020)

Abstract: This paper deals with the mathematical spectral analysis and physical interpretation of a fermionic system described by a non-Hermitian Hamiltonian possessing real eigenvalues. A statistical thermodynamical description of such a system is considered. Approximate expressions for the energy expectation value and the number operator expectation value, in terms of the absolute temperature T and of the chemical potential μ, are obtained, based on the Euler-Maclaurin formula.

DOI: 10.1007/s13538-019-00729-7