000163324 001__ 163324 000163324 005__ 20251024172259.0 000163324 0247_ $$2doi$$a10.1088/1751-8121/ae0847 000163324 0248_ $$2sideral$$a145759 000163324 037__ $$aART-2025-145759 000163324 041__ $$aeng 000163324 100__ $$aAngelone, Giuliano 000163324 245__ $$aIsospectrality and non-locality of generalized Dirac combs 000163324 260__ $$c2025 000163324 5060_ $$aAccess copy available to the general public$$fUnrestricted 000163324 5203_ $$aWe 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. 000163324 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000163324 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000163324 700__ $$0(orcid)0000-0003-3669-6241$$aAsorey, Manuel$$uUniversidad de Zaragoza 000163324 700__ $$aEzquerro, Fernando$$uUniversidad de Zaragoza 000163324 700__ $$aFacchi, Paolo 000163324 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000163324 773__ $$g58, 39 (2025), 395301 [33 pp.]$$pJournal of Physics A-Mathematical and Theoretical$$tJournal of Physics A-Mathematical and Theoretical$$x1751-8113 000163324 8564_ $$s811351$$uhttps://zaguan.unizar.es/record/163324/files/texto_completo.pdf$$yVersión publicada 000163324 8564_ $$s560137$$uhttps://zaguan.unizar.es/record/163324/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000163324 909CO $$ooai:zaguan.unizar.es:163324$$particulos$$pdriver 000163324 951__ $$a2025-10-24-16:57:08 000163324 980__ $$aARTICLE