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Fermionic Model with a Non-Hermitian Hamiltonian

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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.

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Funding

This work was partially supported by Fundação para a Ciência e Tecnologia, Portugal, under the Project UID/FIS/04564/2019, and by the Centre for Mathematics of the University of Coimbra, under the Project UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020.

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Authors and Affiliations

  1. Department of Mathematics, CMUC, University of Coimbra, P 3001-454, Coimbra, Portugal

    N. Bebiano

  2. Department of Physics, University of Coimbra, CFisUC, P 3004-516, Coimbra, Portugal

    J. da Providência & S. Nishiyama

  3. Departamento de Física, University of Beira Interior, CMA, P-6201-001, Covilhã, Portugal

    J. P. da Providência

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  1. N. Bebiano
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  2. J. da Providência
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  4. J. P. da Providência
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Correspondence to J. da Providência.

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Bebiano, N., da Providência, J., Nishiyama, S. et al. Fermionic Model with a Non-Hermitian Hamiltonian. Braz J Phys 50, 143–152 (2020). https://doi.org/10.1007/s13538-019-00729-7

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