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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random phase approximation for the mean-field electron gas （3）
平均场 电子气 随机相位近似
2023/11/29
Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals
光子晶体 线性非线性特征值问题 近似 计算
2023/5/15
In this talk, we discuss the approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals. We discretize the shifted Maxwell operator with edge finite elements a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Approximation Distillation of Quantum Coherence
量子相干性 近似蒸馏 相干资源理论
2023/4/18
Coherence distillation is a basic information-theoretic task in the resource theory of coherence. In this talk, I will report the framework of the approximate coherence distillation under strictly inc...
Two pillar theories in physics – general relativity and quantum mechanics – stand up well on their own, but are incompatible with each other.
Analytical approximation for Landau's constants by using BPES method
Landau constants Approximation theory Complex analysis Boubaker Polynomials Expansion Scheme
2012/6/15
In this study, approximation formulas for evaluating Landau constants are elaborated by using the Boubaker Polynomials Expansion Scheme (BPES). Results are compared to some referred studies.
Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian
Robin Laplacian Eigenvalues Optimisation
2012/4/18
We consider the problem of minimising the $n^{th}-$eigenvalue of the Robin Laplacian in $\mathbb{R}^{N}$. Although for $n=1,2$ and a positive boundary parameter $\alpha$ it is known that the minimiser...
Space-Efficient Approximation Scheme for Circular Earth Mover Distance
Space-Efficient Approximation Scheme Earth Mover Distance
2012/12/4
The Earth Mover Distance (EMD) between point sets A and B is the minimum cost of a bipartite matching between A and B. EMD is an important measure for estimating similarities between objects with quan...
Capturing correlations in chaotic diffusion by approximation methods
Capturing correlations chaotic diffusion approximation methods
2011/9/21
Abstract: We investigate three different methods for systematically approximating the diffusion coefficient of a deterministic random walk on the line which contains dynamical correlations that change...
Layers of Cold Dipolar Molecules in the Harmonic Approximation
Harmonic Approximation Dipolar Molecules
2011/7/21
We consider the N-body problem in a layered geometry containing cold polar molecules with dipole moments that are polarized perpendicular to the layers. A harmonic approximation is used to simplify th...
Thomas-Fermi approximation to pairing in finite Fermi systems. The weak coupling regime
Thomas-Fermi approximation to pairing Fermi systems weak coupling regime
2011/7/20
We present a new semiclassical theory for describing pairing in finite Fermi systems. It is based on taking the $\hbar \to 0$, i.e. Thomas-Fermi, limit of the gap equation written in the basis of the ...
Asymptotic of grazing collisions and particle approximation for the Kac equation without cutoff
Kinetic Theory Kac equation grazing collisions Particle systems
2011/7/26
Abstract: The subject of this article is the Kac equation without cutoff. We first show that in the asymptotic of grazing collisions, the Kac equation can be approximated by a Fokker-Planck equation. ...
Optical Force on Two-level Atoms by Few-cycle Pulsed Gaussian Laser field beyond the Rotating Wave Approximation
Optical Forc Two-level Atoms Few-cycle Pulsed Gaussian Laser field
2011/9/1
We report a study on light force on a beam of neutral two-level atoms superimposed upon a few-cycle pulsed Gaussian laser field under both resonant and off-resonant condition. The phenomena of focusin...
Modulation Instability of Ultrashort Pulses in Quadratic Nonlinear Media beyond the Slowly Varying Envelope Approximation
Quadratic Nonlinear Media Theoretical model and MI analysis
2011/8/31
We report a modulational instability (MI) analysis of a mathematical model appropriate for ultrashort pulses in cascaded quadratic-cubic nonlinear media beyond the so-called slowly varying envelope ap...
Spiky development at the interface in Rayleigh-Taylor instability: Layzer approximation with second harmonic
Layzer second harmonic
2011/8/30
Layzer’s approximation method for investigation of two fluid interface structures associated with Rayleigh Taylor instability for arbitrary Atwood number is extended with the inclusion of second harmo...
Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
nuclear matter finite temperature
2011/4/7
Open charm meson in nuclear matter at finite temperature beyond the zero range approximation 。