doi:10.1088/1751-8121/ae0847engAngelone, GiulianoAsorey, ManuelEzquerro, FernandoFacchi, PaoloIsospectrality and non-locality of generalized Dirac combsART-2025-145759We consider a generalization of Dirac’s comb model, describing a non-relativistic particle moving in a periodic array of generalized point interactions. The latter represent the most general point interactions rendering the kinetic-energy operator self-adjoint, and form a four-parameters family that includes the δ-potential and the δ-potential as particular cases. We study the parameter dependence of the spectral properties of this system, finding a rich isospectrality structure. We systematically classify a large class of isospectral relations, determining which Hamiltonians are spectrally unique, and which are instead related by a unitary or anti-unitary transformation.2025http://zaguan.unizar.es/record/16332410.1088/1751-8121/ae0847http://zaguan.unizar.es/record/163324oai:zaguan.unizar.es:163324Journal of Physics A-Mathematical and Theoretical 58, 39 (2025), 395301 [33 pp.]byhttps://creativecommons.org/licenses/by/4.0/deed.esinfo:eu-repo/semantics/openAccess