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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Derivation of the Vlasov equation from quantum many-body Fermionic systems with singular interaction
奇异相互作用 量子多体 费米子系统 弗拉索夫方程
2023/5/12
We consider the combined mean-field and semiclassical limit for a system of the N fermions interacting through singular potentials. We prove the uniformly in the Planck constant h propagation of quant...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Derivation of the Vlasov equation from quantum many-body Fermionic systems with singular interaction
奇异相互作用 量子多体 费米子系统 弗拉索夫方程
2023/4/13
We consider the combined mean-field and semiclassical limit for a system of the N fermions interacting through singular potentials. We prove the uniformly in the Planck constant h propagation of quant...
On the derivation of an hourly local index to define the normal ionosphere
reference ionosphere ionospheric disturbance ionospheric indices
2015/9/30
In this paper an hourly local ionospheric index f n F 2 is proposed to define the normal level of the undisturbed
ionosphere. For the determination of this index a model is developed where the normal...
Derivation of Instantaneous Unit Hydrograph for a sub-basin using Linear Geomorphological Model and Geographic Information Systems
Geographic Information System GIS Linear Geomorphological Model LGM GIUH
2015/8/14
Rainfall is converted into runoff and reaches the river and it becomes river flow. Geomorphological Instantaneous Unit Hydrograph (GIUH) based approach, which uses the geomorphologic parameters, is us...
Derivation of endothelial colony forming cells from human cord blood and embryonic stem cells
Embryonic Stem Cells Directed Differentiation Human Umbilical Cord Blood
2015/5/25
Endothelial Colony Forming Cells (ECFCs) are highly proliferative endothelial progenitor cells with clonal proliferative potential and in vivo vessel forming ability. While endothelial cells have been...
Derivation of Instantaneous Unit Hydrograph for a sub-basin using Linear Geomorphological Model and Geographic Information Systems
Geographic Information System GIS
2015/1/8
Rainfall is converted into runoff and reaches the river and it becomes river flow. Geomorphological Instantaneous Unit Hydrograph (GIUH) based approach, which uses the geomorphologic parameters, is us...
The Direct Reprogramming of Somatic Cells: Establishment of a Novel System for Photoreceptor Derivation
development genetic photoreceptor regeneration reprogramming retina
2015/5/22
Photoreceptors are a class of sensory neuronal cells that are deleteriously affected in many disorders and injuries of the visual system. Significant injury or loss of these cells often results in a p...
Growth of Ovarian Primary Follicles Retrieved from Neonates of Different Ages and Derivation of Mature Oocytes Following In vitro-Culture
Neonatal Mouse Ovary Primary Follicle In vitro Culture Oocyte Maturation
2016/5/10
This study was conducted to improve the yield of mature oocytes from in vitro-culture of ovarian primary follicles by optimizing follicle retrieval from neonatal mice of different ages. Primary follic...
Non-Gaussian statistics, maxwellian derivation and stellar polytropes
Non-Gaussian statistics maxwellian derivation stellar polytropes Space Physics
2012/5/29
In this letter we discuss the Non-gaussian statistics considering two aspects. In the first, we show that the Maxwell's first derivation of the stationary distribution function for a dilute gas can be...
Circular Sound Wave Scattering Derivation for Acoustic Cloak Detection
Circular Sound Wave Scattering Derivation Acoustic Cloak Detection Classical Physics
2012/5/29
In this Letter we develop analytical formulations to describe sound scattering in lossless medium due to 2D circular wave incident on an acoustic cloak. A perfect acoustic cloak is reflectionless and ...
Asymptotic Derivation and Numerical Investigation of Time-Dependent Simplified Pn Equations
Asymptotic Derivation Numerical Investigation Time-Dependent Simplified Pn Equations Computational Physics
2012/5/28
The steady-state simplified Pn (SPn) approximations to the linear Boltzmann equation have been proven to be asymptotically higher-order corrections to the diffusion equation in certain physical system...
Derivation of the Schrodinger equation from the Hamilton-Jacobi equation in Feynman's path integral formulation of quantum mechanics
Derivation of the Schrodinger equation Hamilton-Jacobi equation Feynman's path integral formulation of quantum mechanics
2012/4/19
It is shown how the time-dependent Schr\"{o}dinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equat...
On the Rigorous Derivation of the 3D Cubic Nonlinear Schr鰀inger Equation with A Switchable Quadratic Trap
Gross-Pitaevskii Hierarchy Switchable Quadratic Trap Collapsing Estimate Klainerman-Machedon Board Game and Space-time Bound
2012/4/17
We consider the dynamics of the 3D N-body Schr\"odinger equation in the presence of a switchable quadratic trap. We assume the pair interaction potential is N^{3{\beta}-1}V(N^{{\beta}}x). We justify t...
A derivation of the Breit equation from Barut's covariant formulation of electrodynamics in terms of direct interactions
Breit equation Barut's covariant formulation Quantum Physics High Energy Physics - Theory
2011/10/10
Abstract: We study Barut's covariant equations describing the electromagnetic interactions between N spin-1/2 particles. In the covariant formulation each particle is described by a Dirac spinor. It i...
On Rigorous Derivation of the Enskog Kinetic Equation
BBGKY hierarchy Enskog equation kinetic cluster expansion scattering cumulant hard spheres
2011/9/22
Abstract: We develop a rigorous formalism for the description of the kinetic evolution of infinitely many hard spheres. On the basis of the kinetic cluster expansions of cumulants of groups of operato...