The characterization of degenerate and non-degenerate systems

Quantum current modelling on tri-layer graphene nanoribbons in limit degenerate and non-degenerate

Graphene is determined by a wonderful carrier transport property and high sensitivityat the surface of a single molecule, making them great as resources used in Nano electronic use.TGN is modeled in form of three honeycomb lattices with pairs of in-equivalent sites as {A1, B1},{A2, B2}, and {A3, B3} which are located in the top, center and bottom layers, respectively. Trilayer...

Conductivity Coefficient Modeling in Degenerate and Non-Degenerate Modes on GNSs

Carbon nanoscrolls (CNSs) with tubular structure similar to the open multiwall carbonnanotube have been of hot debate during recent years. Due to its unique property, Graphene Nanoscroll (GNS) have attracted many research groups’ attention and have been used by them. They specially studied on energy storage devices such as batteries and super capacitors. These devices can be schematically...

On the Spectral Properties of Degenerate Non-selfadjoint Elliptic systems of Differential Operators

Degenerate and Non - Degenerate Ground States for Schrdinger Operators

In the study of quantum mechanical energy operators, particular attention is paid to the question of whether the bottom of the spectrum is an eigenvalue and whether that eigenvalue is simple. The corresponding eigenvector is usually called the gound state. Throughout our discussion we will say that a self-adjoint operator H has no ground state degeneracy when either E inf spectrum H is not an e...

Non-degenerate Mixed Functions

Mixed functions are analytic functions in variables z1, . . . , zn and their conjugates z̄1, . . . , z̄n. We introduce the notion of Newton nondegeneracy for mixed functions and develop a basic tool for the study of mixed hypersurface singularities. We show the existence of a canonical resolution of the singularity, and the existence of the Milnor fibration under the strong non-degeneracy condition.