Abstract
This paper investigates the triplet of linear operators that determines automorphisms of the set of solutions to special double confluent Heun equations of integer order. Their pairwise composition rules are computed in explicit form. It is shown that, under the conditions motivated by physical applications, these operators generate the group of symmetries of the linear space of solutions that is isomorphic to the dihedral group, provided the monodromy equivalence relation is applied. On the corresponding projective space, the symmetry group reduces to the Klein group. The results presented in this paper have implications for the modeling of Josephson junctions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.