Starting from the irreducible representations of the group of the wave vector, we construct the spin-wave functions consistent with inversion symmetry, neglected in the usual representation analysis. We obtain the relation between the basis functions of different members of the star of the wave vector. We introduce order parameters and determine their transformation properties under the operati...

The P-wave and S-wave heavy-light mesons and their charge conjugates, i.e., D1ð2420ÞD̄þ c:c:, D1ð2420ÞD̄ þ c:c:, and D2ð2460ÞD̄ þ c:c:, can couple to states with vector quantum number JPC 1⁄4 1−− and exotic quantum number JPC 1⁄4 1−þ in a relative S wave. Near threshold, the heavy-light meson pair may form hadronic molecules due to the strong S-wave coupling, and the mysterious vector state Yð4260...

Large-wave-vector phonons have an important role in determining the thermal and electronic properties of nanoscale materials. The small volumes of such structures, however, have posed significant challenges to experimental studies of the phonon dispersion. We show that synchrotron x-ray thermal diffuse scattering can be adapted to probe phonons with wave vectors spanning the entire Brillouin zo...

X-ray diffraction measurements show that the high-temperature superconductor YBa2Cu3O6.54, with ortho-II oxygen order, has charge-density-wave order in the absence of an applied magnetic field. The dominant wave vector of the charge density wave is q(CDW)=(0,0.328(2),0.5), with the in-plane component parallel to the b axis (chain direction). It has a similar incommensurability to that observed ...

The direct coordinate transformation method, which only transforms independent variables and retains Cartesian dependent variables, may not be an appropriate method for the purpose of simplifying the curvilinear parabolic approximation of the vector form of the wave–current equation given by Kirby [Higher-order approximations in the parabolic equation method for water waves, J. Geophys. Res. 91...

The field solution to the electromagnetic scattering of a plane wave by a uniaxial anisotropic sphere is obtained in terms of a spherical vector wave function expansion form. Using the source-free Maxwell's equations for uniaxial anisotropic media and making the Fourier transform of the field quantities, the electromagnetic fields in the spectral domain in uniaxial anisotropic media are assumed...

The aim of this paper is to present the derivation of orthonormal sets of substrate and guided modes in the effective resonator model of a dielectric multilayer structure, described in [1]. Calculations that can be found here are a continuation of [2], where they have been conducted for radiation modes, therefore, the adopted notation, as well as definitions, are the same as therein. In the eff...

[1] Three-dimensional particle-in-cell (PIC) simulations of whistler turbulence at three different initial values of ˇe are carried out on a collisionless, homogeneous, magnetized plasma model. The simulations begin with an initial ensemble of relatively long-wavelength whistler modes and follow the temporal evolution of the fluctuations as wave-wave interactions lead to a forward cascade into ...

On transformation to the Fourier space (k, ω), the partial differential Maxwell equations simplify to algebraic equations, and the Helmholtz theorem of vector calculus reduces to vector algebraic projections. Maxwell equations and their solutions can then be separated readily into longitudinal and transverse components relative to the direction of the wave vector k. The concepts of wave motion,...

On transformation to the Fourier space (k, ω), the partial differential Maxwell equations simplify to algebraic equations, and the Helmholtz theorem of vector calculus reduces to vector algebraic projections. Maxwell equations and their solutions can then be separated readily into longitudinal and transverse components relative to the direction of the wave vector k. The concepts of wave motion,...