Revisiting a Coulomb-type potential inside a nonconducting cylinder in a rotating reference frame

We explore a mesoscopic system made of a long nonconducting cylinder of inner radius [Formula: see text] where a spinless electron interacts with an attractive [Formula: see text] potential. We analyze the asymptotic behavior of the radial wave function by assuming that there is an impenetrable potential wall located at [Formula: see text], and thus, discuss the effects of rotation on the energy levels, as well as the Aharonov–Bohm effect for bound states. Further, we include a non-Hermitian operator and show that the non-Hermitian Hamiltonian has real energy eigenvalues. We also discuss the effects of rotation and the Aharonov–Bohm effect from the real energy eigenvalues. We extend our discussion to the revival time.