Skip to main content### Application of Group Representation Theory to Derive Hermite Interpolation Polynomials on a Triangle

It is shown that the 33 complex rays in three dimensions used by Penrose to prove the Bell-Kochen-Specker theorem have the same orthogonality relations as the 33 real rays of Peres, and therefore provide an isomorphic proof of the theorem.

This paper shows how a method developed by Van Steenwijk can be generalized to calculate the resistance between any two vertices of a symmetrical polytope all of whose edges are identical resistors.

Present day electromagnetic field calculations have limitations that are due to techniques employing edge-based discretization methods.

The energy spectrum has substantially reduced degeneracies compared to the analytically determined energy levels of the infinite-barrier quantum box of the same dimensions.

Maxwell's vector field equations and their numerical solution represent significant challenges for physical domains with complex geometries.

Developing compact algorithms for accurate electrodynamic calculations with minimal computational cost is an active area of research given the increasing complexity in the design of electromagnetic composite structures.

The Aharonov-Bohm effect manifests itself in the interference of electron waves traveling through multiply-connected regions and the flux linked with the paths for the electron.

The extraordinary magnetoresistance (EMR) in metal-semiconductor hybrid structures depends on the orbital motion of carriers in an external magnetic field.

We use the method of dimensional continuation to isolate singularities in integrals containing products of Green's functions or their derivatives.

We investigate the quantum mechanical energy levels of an electron constrained to motion on a nanoscale Möbius ring by solving the Schrödinger equation on the curved surface.

The extraordinary magnetoresistance (EMR) in metal-semiconductor hybrid structures was first demonstrated using a van der Pauw configuration for a circular semiconductor wafer with a concentric metallic inclusion in it.

Current methods used to devise sets of Hermite interpolation polynomials of minimal order that ensure C(n) continuity across triangular element boundaries in two dimensions are not readily extensible to higher dimensions.

This paper discusses the unique patterns evolved through phase separation of a bulk liquid crystal (LC) from the self-assembly of lysozyme induced by evaporation of de-ionized water only.

A challenge in fundamental physics and especially in thermodynamics is to understand emergent order in far-from-equilibrium systems.

We present a method for using temperature to tune the flow speeds of kinesin-driven, microtubule-based three-dimensional (3D) active fluids.

Self-organization of kinesin-driven, microtubule-based 3D active fluids relies on the collective dynamics of single microtubules. However, the connection between macroscopic fluid flows and microscopic motion of microtubules remains unclear.

Bi2S3 is a non-toxic n-type semiconductor, which has been commonly synthesized in the form of quantum dots or nanocrystalline films by solution deposition methods.

In the last decade, the moss Physcomitrella patens has emerged as a powerful plant model system, amenable for genetic manipulations not possible in any other plant.

In plants, light determines chloroplast position; these organelles show avoidance and accumulation responses in high and low fluence‐rate light, respectively.

Understanding how plant cells adapt dynamically to changes in the environment is a fundamental problem of plant biology.