Starting from Maxwell equations in curved space, we derive the field equations of light when
constrainted to a curved surface via a possible nonlinear waveguide. We show that surfaces …

We determined the geometries and chemical bonding phenomena of the B27 system in its
dicationic, cationic, neutral, anionic and dianionic states using DFT computations. In both …

In this paper, a quantum-mechanical threshold voltage model for ultrathin double gate-all-
around DGAA MOSFETs has been developed by solving three-dimensional (3-D) Poisson's …

The experimental techniques have evolved to a stage where various examples of
nanostructures with non-trivial shapes have been synthesized, turning the dynamics of a …

Möbius-shell structures and their physical properties have recently received considerable
attention experimentally and theoretically. In this work, eigenstates and associated …

We analyzed the chemical bonding phenomena of the boron B2 n tubes (n= 10–14). The B2
n tubes represent stable hollow cylinders each having a double ring (DR) among pure boron …

Innovative developments in science and technology require a thorough knowledge of
applied mathematics, particularly in the field of differential equations and special functions …

Extensive experimental data and an accompanying theoretical model are presented for the
self-limiting profiles and Ga segregation on patterned GaAs (111) B substrates during …

While the motion of a classical particle bounded to a surface depends only on the local
curvature, the dynamics of a quantum particle depends also on the mean surface curvature …

For a relativistic particle confined to a Möbius strip, the effective Dirac equation is first given
in the thin-layer quantization formalism. We find that an effective gauge potential results from …