On the shape of spectra for non-self-adjoint periodic Schrödinger operators
On the shape of spectra for non-self-adjoint periodic Schrödinger operators
The spectra of the Schr\"odinger operators with periodic potentials are studied. When the potential is real and periodic, the spectrum consists of at most countably many line segments (energy bands) on the real line, while when the potential is complex and periodic, the spectrum consists of at most countably many …