In the derivation leading to Eq. (1.102), only one quantum state ne = 1 was considered. Once E > Ee,z(2), as an example, an electron of a given total energy Ee can be found in either ne = 1 or ne = 2 state so that the density of states doubles. The total density of states...
A recent derivation of the density of states at the Fermi level of liquid 3d-transition metals has prompted us to present some results for the effect of the d-band on the specific heat and the latent heat of vaporization for these materials.\ndoi:10.1080/14786437708232963...
The experimental investigation of the density of states of liquids at low energies is much less explored due to the fact that many techniques used to study liquid properties, such as infrared, Raman and nonlinear IR, do not have sufficient energy resolution to probe the details at very low ene...
Many states around the world have implemented building density regulations, such as restrictions on lot size zoning, building size, and/or floor area ratio, based on study results that revealed negative environmental and social impacts. Building density measurements have largely been driven by practical...
The vibrational properties of crystalline bulk materials are well described by Debye theory, which successfully predicts the quadratic ω2 low-frequency scaling of the vibrational density of states. However, the analogous framework for nanoconfined mater
obtained with the aid of the theoretical derivation of the plasma ionization degree and the electron temperature and electron density extracted from experiments... E Tang,M Xu,Q Zhang,... - 《IEEE Transactions on Plasma Science》 被引量: 1发表: 2016年 On the influence of metastable states an...
A rigorous derivation of the density functional in the Hohenberg-Kohn theory is presented. With no assumption regarding the magnitude of the electric coupling constant $e^2$ (or correlation), this work provides a firm basis for first-principles calculations. Using the auxiliary field method, in ...
Collapsing Estimates and the Rigorous Derivation of the 2d Cubic Nonlinear Schr"odinger Equation with Anisotropic Switchable Quadratic Traps We consider the 2d and 3d many body Schrdinger equations in the presence of anisotropic switchable quadratic traps. We extend and improve the collapsing es... ...
2.1. Implementation of DFT + DMFT The formal derivation of electronic structure methods including DFT and DMFT can be achieved by constructing an effective Free energy functional, Γ, which depends on the choice of variables to write the energy functional [4], [5]. For example, the variable ...
It is worth noting that we do not need to formally “move” the molecule, and this is just an assumption made in the derivation from Eq. (9) to Eq. (12). In this method, we only care about the relative value of \({\overrightarrow{O}}_{\mu }(t)\) when determining the basis...