
Electronic transport for armchair graphene nanoribbons with a
... the series of tunneling peaks in Fig. 1 may be from the chiral nature of the relativistic particles in the AGNR [12–19]. However, one should notice that the ratio of width to length for AGNR in this Letter (about 1) is much smaller than that in Ref. [19], where this ratio is much larger than 5. For ...
... the series of tunneling peaks in Fig. 1 may be from the chiral nature of the relativistic particles in the AGNR [12–19]. However, one should notice that the ratio of width to length for AGNR in this Letter (about 1) is much smaller than that in Ref. [19], where this ratio is much larger than 5. For ...
Closed-Form Expressions for the Matrix Exponential
... be written in terms of the matrices I = A0 , A, . . . , An−1 . Thus, any infinite series, such as the one corresponding to exp A, may be rewritten in terms of the n powers A0 , A, . . . , An−1 . By exploiting this fact one can recover Equation (1). Reciprocally, given A, one can construct a matrix B ...
... be written in terms of the matrices I = A0 , A, . . . , An−1 . Thus, any infinite series, such as the one corresponding to exp A, may be rewritten in terms of the n powers A0 , A, . . . , An−1 . By exploiting this fact one can recover Equation (1). Reciprocally, given A, one can construct a matrix B ...
What is absolutely continuous spectrum?
... question we address here concerns the characterization of spectral types (e.g.– pure point, singular continuous, absolutely continuous). Although these spectral types are completely determined by the boundary values of the resolvent, their dynamical characterizations in terms of the physical propert ...
... question we address here concerns the characterization of spectral types (e.g.– pure point, singular continuous, absolutely continuous). Although these spectral types are completely determined by the boundary values of the resolvent, their dynamical characterizations in terms of the physical propert ...
When Gold Is Not Noble: Nanoscale Gold
... between the adsorbed gold cluster and the underlying magnesia surface, and in all cases the adsorbed molecule is found to be activated to a peroxo O2* molecular state20,21 with a weakened highly stretched intramolecular bond length (1.41-1.46 Å) compared to that in the free molecule (1.24 Å). On the ...
... between the adsorbed gold cluster and the underlying magnesia surface, and in all cases the adsorbed molecule is found to be activated to a peroxo O2* molecular state20,21 with a weakened highly stretched intramolecular bond length (1.41-1.46 Å) compared to that in the free molecule (1.24 Å). On the ...
molecular geometry
... energy and therefore corresponds to a bonding orbital, while the other molecular orbital raises the energy and therefore corresponds to a * antibonding orbital (note we use a * to indicate an antibonding orbital). We often also indicate the starting atomic orbitals. ...
... energy and therefore corresponds to a bonding orbital, while the other molecular orbital raises the energy and therefore corresponds to a * antibonding orbital (note we use a * to indicate an antibonding orbital). We often also indicate the starting atomic orbitals. ...
(pdf)
... primarily dissociative or reactive the calculation was terminated when the norm of the wave function remaining on the grid was negligible. Otherwise the trajectory was terminated when the distance between the atom and the center of mass of the molecule is larger than r2max, where we chose r2max ⫽8 Å ...
... primarily dissociative or reactive the calculation was terminated when the norm of the wave function remaining on the grid was negligible. Otherwise the trajectory was terminated when the distance between the atom and the center of mass of the molecule is larger than r2max, where we chose r2max ⫽8 Å ...
A Variational Approach to the Schrödinger–Poisson System
... wave packet size is proved in terms of the linear momentum variance via the derivation of a dispersive equation (see Eq. (27) below) in which the total energy operator is also involved. Some consequences are also extracted from this equation in the repulsive case. In Section 4 we obtain optimal boun ...
... wave packet size is proved in terms of the linear momentum variance via the derivation of a dispersive equation (see Eq. (27) below) in which the total energy operator is also involved. Some consequences are also extracted from this equation in the repulsive case. In Section 4 we obtain optimal boun ...