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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonrelativistic limit of the Klein-Gordon equations: convergence rates and long time approximations
克莱因-戈登方程 非相对论极限 收敛率 长时间近似
2023/4/18
We study the nonrelativistic limit of the cubic Klein-Gordon equations. We show the cubic Klein-Gordon equation converges to the cubic Schr\"odinger equation with a convergence rate of order $\epsilon...
UC Berkeley, scientists have proved a fundamental relationship between energy and time that sets a “quantum speed limit” on processes ranging from quantum computing and tunneling to optical switching....
Determination of <(pi pi)I=2/ohm 7,8/K0 > in the chiral limit
Weak matrix elements no cover dispersion
2014/12/22
We reconsider the dispersive evaluation of the weak matrix elements h()I=2|Q7,8|K0i in the chiral limit. The perturbative matching is accomplished fully within the scheme dependence used in the two ...
K ->pi pi electroweak penguins in the chiral limit
Dispersion electroweak penguin matrix element chiral limit
2014/12/20
We report on dispersive and finite energy sum rule analyses of the electroweak penguin matrix elements left angle bracket(ππ)2|Q7,8|K0right-pointing angle bracket in the chiral limit. We accomplish th...
Improved determination of the electroweak penguin contribution to epsilon '/epsilon in the chiral limit
Energy opal spectral function and matrix element electroweak penguin operators
2014/12/20
We perform a finite energy sum rule analysis of the flavor ud two-point VA current correlator, (Q2). The analysis, which is performed using both the ALEPH and OPAL databases for the V-A spectral fun...
Nuclear central force in the chiral limit
Chiral perturbation theory function quality component physical spectrum energy function
2014/12/20
Chiral perturbation theory supplemented by the Omnes function is employed to study the strength of the isoscalar central nuclear interaction, GS, in the chiral limit vs the physical case. A very large...
Probabilistic Turing Machine and Landauer Limit
Probabilistic Machine and Landauer Limit Mathematical Physics
2012/6/12
We show the equivalence between a probabilistic Turing machine and the time evolution of a one-dimensional Ising model, the Glauber model in one dimension, equilibrium positions representing the resul...
Newtonian limit and trend to equilibrium for the relativistic Fokker-Planck equation
Relativistic Fokker-Planck equation Newtonian limit Trend to equilibrium
2011/9/21
Abstract: The relativistic Fokker-Planck equation, in which the speed of light $c$ appears as a parameter, is considered. It is shown that in the limit $c\to\infty$ its solutions converge in $L^1$ to ...
Hamiltonian dynamics for Einstein's action in G$\rightarrow$0 limit
Hamiltonian dynamics Einstein's action Mathematical Physics
2011/9/15
Abstract: The Hamiltonian analysis for the Einstein's action in $ G\to 0 $ limit is performed. Considering the original configuration space without involve the usual $ADM$ variables we show that the v...
All metrics have curvature tensors characterised by its invariants as a limit: the ε-property
curvature tensors ε-property General Relativity and Quantum Cosmology
2011/10/8
Abstract: We prove a generalisation of the $\epsilon$-property, namely that for any dimension and signature, a metric which is not characterised by its polynomial scalar curvature invariants, there is...
Evaluation of High Order Terms for the Hubbard Model in the Strong-coupling Limit
for the Hubbard Model High Order Terms the Strong-coupling Limit Strongly Correlated Electrons
2011/7/28
Evaluation of High Order Terms for the Hubbard Model in the Strong-coupling Limit.
Evaluation of High Order Terms for the Hubbard Model in the Strong-coupling Limit
High Order Terms the Hubbard Model Strong-coupling
2011/9/15
The ground-state energy of the Hubbard model on a Bethe lattice with infinite connectivity at half filling is calculated for the insulating phase. Using Kohn抯 transformation to derive an effective Ham...
Hastings-Levitov aggregation in the small-particle limit
Hastings-Levitov aggregation the small-particle limit scaling limits Probability
2011/7/28
Abstract: We establish some scaling limits for a model of planar aggregation. The model is described by the composition of a sequence of independent and identically distributed random conformal maps, ...
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem
Localization Optimal Entropy Production Convergence rates the Central Limit Theorem
2011/7/27
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem.
The Continuum Limit of Toda Lattices for Random Matrices with Odd Weights
The Continuum Limit of Toda Lattices Random Matrices Odd Weights
2011/7/25
Abstract: This paper is concerned with the asymptotic behavior of the free energy for a class of Hermitean random matrix models, with odd degree polynomial potential, in the large N limit. It continue...