Description:
Presents an analytical theory of the electronic states in ideal low-dimensional systems and finite crystals based on a theory of differential equations approach
Demonstrates that the existence of the boundary-dependent states is a fundamental distinction of the quantum confinement of Bloch waves
Introduces a general and more applicable theoretical formalism based on the theory of periodic Sturm-Liouville equations for investigating one-dimensional photonic crystals and phononic crystals
Provides a general theoretical formalism for investigating the existence and properties of surface states/modes in semi-infinite one-dimensional crystals