Three formulae connecting the spectral elements to the potential are derived for the tridimensional Schrdinger equation with spherical symmetry. They make apparent the natural character of the Marchenko inversion procedure. They indicate that the presence either of bound states or of spectral ...
A quasipotential approach to the relativistic two-body problem is developed on the basis of the three-dimensional Hamiltonian formulation of quantum field theory. A relativistic configuration representation is introduced and studied on the basis of a decomposition with respect to matrix elements of irred...
Raman mode intensity from substrates has been used to identify the N of intrinsic and defective multilayer graphenes up to N = 100. However, such analysis is not applicable to ultrathin TMD flakes due to the lack of a unified complex refractive index ([Formula: see text]) from monolayer to...
A new time-domain approach of locating transitory, sub-cycle faults is introduced with a detailed formula derivation of the fault distance calculation for ... CJ Kim,TO Bialek - IEEE 被引量: 13发表: 2011年 Preliminary results of WRF 4D-Var [presentation] The 4-dimensional variational data as...
The algebraic integrability for the Schrdinger equation in n and the role of the quantum Calogero-Sutherland problem and root systems in this context are discussed. For the special values of the parameters in the potential the explicit... OA Chalykh,AP Veselov - 《Communications in Mathematical...
The eigenvalue problem of the one‐dimensional potential wellV(X) =a‖X‖ is solved by means of certain higher‐order phase‐integral approximations. The purpose of this paper is to demonstrate numerically the applicability and accuracy of these approximations (which are related to, but not ident...
A potential mechanism indicated that the permittivity of the composites is influenced by localized polarization of fillers and matrix. However, geometric connection and tunneling are dispensable to plasma resonance. Additionally, a derived formula of this model expresses that extremely high permittivity of...
Here we present a formulation allowing the calculation of formation energies in one-dimensional nanostructures, which overcomes the difficulties involved in defining the chemical potential of the constituent species and the possible passivation of the surface. We also develop a formula for the Madelung ...
The Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field and a periodic substrate potential U. The Kubo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap. Explicit expressions have been obtained for...
(4-pyridyl)ethene with AgBF 4 results in the formation of a three-dimensional network based upon a cyclobutane-linked tetrapyridyl ligand, 1,2,3,4-tetrakis(4-pyridyl)cyclobutane, linked by Ag I ions; the in situ formation of the ligand represents a potential new direction for inorganic crys...