Description
We study the isospectrality problem for a free quantum particle confined in a ring with a junction. By characterizing the energy spectrum in terms of a spectral function, we classify all the possible self-adjoint realizations. The latter turn out to be divided in two classes, which are discerned by the action of parity.
Main reference: G. Angelone, P. Facchi and G. Marmo, Hearing the shape of a quantum boundary condition, arXiv: 204.10248 [quant-ph] (2022), https://arxiv.org/abs/2204.10248.
Primary authors
Giuliano Angelone
(Università degli studi di Bari)
Paolo Facchi
(University of Bari, Italy and INFN Italy)
Prof.
Giuseppe Marmo
(Università degli studi di Napoli)
