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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unsolved conjectures in Mathematical General Relativity
数学 广义相对论 未解 猜想
2023/5/5
I will review the recent progress, including my own contribution, in addressing the Kerr Stability Conjecture (克尔时空稳定性猜想）and the Strong Cosmic Censorship Hypothesis (强宇宙监督假设)，both of which are among t...
第二十四届国际光学委员会大会（The 24th General Congress of International Commission for Optics Call for Papers）
第二十四届 国际光学委员会 光学 光子学
2017/2/16
第二十四届国际光学委员会大会（The 24th General Congress of International Commission for Optics Call for Papers）。
Highly directive current distributions:General theory
Highly directive current distributions General theory
2015/10/16
A theoretical scheme for studying the properties of localized, monochromatic, and highly directive classical current distributions in two and three dimensions is formulated and analyzed. For continuou...
GENERAL-RELATIVITY AS AN EFFECTIVE-FIELD THEORY - THE LEADING QUANTUM CORRECTIONS
Effective gravity quantum field theory natural separation low energy quantum effects high energy massless particles
2014/12/23
I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within...
Power counting of loop diagrams in general relativity
Cyclic graph the general theory of relativity energy expansion quantum effects physical power calculation
2014/12/23
A class of loop diagrams in general relativity appears to have a behavior which would upset the utility of the energy expansion for quantum effects. We show through the study of specific diagrams that...
The Quantum Theory of General Relativity at Low Energies
Quantum field theory low energy quantum the interaction energy general relativity low energy
2014/12/23
In quantum field theory there is now a well developed technique, effective field theory, which allows one to obtain low energy quantum predictions in “non-renormalizable” theories, using only the degr...
Transmission Character of General Function Photonic Crystals
General Photonic crystals Dispersion relation Transmissivity
2012/5/29
In the paper, we present a new general function photonic crystals (GFPCs), which refractive index of medium is a arbitrary function of space position. Unlike conventional photonic crystals (PCs), whic...
The self-consistent general relativistic solution for a system of degenerate neutrons, protons and electrons in beta-equilibrium
Neutron Star Electrodynamics General Relativistic Thomas-Fermi treatment
2011/7/21
We present the self-consistent treatment of the simplest, nontrivial, self-gravitating system of degenerate neutrons, protons and electrons in $\beta$-equilibrium within relativistic quantum statistic...
Adiabatic nonlinear waves with trapped particles: Part I. General formalism
adiabatic nonlinear waves General formalism trapped particles Plasma Physics
2011/10/8
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Adiabatic nonlinear waves with trapped particles: Part I. General formalism
Adiabatic nonlinear waves trapped particles General formalism
2011/8/4
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Modeling near-field radiative heat transfer from sharp objects using a general 3d numerical scattering technique
Modeling near-field radiative heat transfer sharp objects 3d numerical scattering technique
2011/8/4
Abstract: We examine the non-equilibrium radiative heat transfer between a plate and finite cylinders and cones, making the first accurate theoretical predictions for the total heat transfer and the s...
Spectral Singularities of a General Point Interaction
Complex potential spectral singularity point interaction PT -symmetry
2011/8/31
Abstract: We study the problem of locating spectral singularities of a general complex point interaction with a support at a single point. We also determine the bound states, examine the special cases...
Coupled-wave model for square-lattice photonic-crystal lasers with TE polarization -- a general approach
Coupled-wave model square-lattice photonic-crystal lasers TE polarization
2011/8/3
Abstract: A general coupled-wave model is presented for square-lattice photonic crystal (PC) lasers with transverse-electric polarization. This model incorporates the high-order coupling effects that ...
Abstract: We construct the manifestly N=4 supersymmetric off-shell superfield "master" action for any number n of the N=4 supermultiplets (4, 4, 0) described by harmonic analytic superfields q^{+a}(\z...
On General Form of N-fold Supersymmetry
N-fold supersymmetry Weak quasi-solvability Linear differential operators Intertwining relations
2011/8/25
Abstract: We analyze general structure of N-fold supersymmetry which provides a systematic framework to construct weakly quasi-solvable quantum mechanical systems. Main ingredients of our analysis are...