Reducibility of Cartesian product quantum graph equipped with group action

Shimei Li, Kai Zhang, Jia Zhao

We consider a Cartesian product quantum graph ${\Gamma }_{n_1}\square {\Gamma }_{n_2}$ with standard vertex conditions, and complete the decomposition of Hilbert space $L^2({\Gamma }_{n_1}\square {\Gamma }_{n_2})$ and th…