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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability and error analysis of a maximum bound principle preserving scheme for the dynamical Ginzburg-Landau equations of Superconductivity
超导动力学 金茨堡-朗道方程 最大界界原理 能量稳定性 误差分析
2023/4/25
We focus on numerical study of the dynamical Ginzburg-Landau equations under the temporal gauge, and propose a decoupled numerical scheme based on the finite element method. For the variable A, the se...
Basic results in the rigorous theory of weighted dynamical zeta functions
or dynamically defined generalized Fredholm determinants are presented. Analytic
properties of the zeta functions or d...
Characterisation of Low Frequency Gravitational Waves from Dual RF Coaxial-Cable Detector: Fractal Textured Dynamical 3-Space
Low Frequency Gravitational Waves Dual RF Coaxial-Cable Detector Fractal Textured Dynamical 3-Space
2012/5/17
Experiments have revealed that the Fresnel drag effect is not present in RF coaxial cables, contrary to a previous report. This enables a very sensitive, robust and compact detector, that is 1st order...
Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics
Complex-Dynamical Solution Many-Body Interaction Problem Fundamental Physics quantum mechanics
2012/4/27
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including foundat...
Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics
Complex-Dynamical Solution Many-Body Interaction Problem Fundamental Physics General Physics
2012/4/25
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including foundat...
Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry
N-fold supersymmetry Position-dependent mass Dynamical symmetry breaking Quasisolvability Exceptional orthogonal polynomials
2012/4/23
We investigate effect of position-dependent mass profiles on dynamical breaking of N-fold supersymmetry in several type B and type X_2 models. We find that N-fold supersymmetry in rational potentials ...
Dynamical Magnetic and Nuclear Polarization in Complex Spin Systems: Semi-magnetic II-VI Quantum Dots
Dynamical Magnetic Nuclear Polarization Complex Spin Systems Semi-magnetic II-VI Quantum Dots
2012/2/29
Dynamical magnetic and nuclear polarization in complex spin systems is discussed on the example of transfer of spin from exciton to the central spin of magnetic impurity in a quantum dot in the presen...
Dynamical Magnetic and Nuclear Polarization in Complex Spin Systems: Semi-magnetic II-VI Quantum Dots
Dynamical Magnetic and Nuclear Polarization in Complex Spin Systems: Semi-magnetic II-VI Quantum Dots
2012/2/27
Dynamical magnetic and nuclear polarization in complex spin systems is discussed on the example of transfer of spin from exciton to the central spin of magnetic impurity in a quantum dot in the presen...
Forward and Adjoint Sensitivity Computation of Chaotic Dynamical Systems
Sensitivity analysis linear response adjoint equation unsteady adjoint chaos statistical average
2012/2/29
This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity derivatives in chaotic dynamical systems, such as the Lorenz attractor. The algorithms compute the derivativ...
Embedded Representations and Quasi-Dynamical Symmetry
Embedded Representations Quasi-Dynamical Symmetry
2011/7/20
This presentation explains why models with a dynamical symmetry often work extraordinarily well even in the presence of large symmetry breaking interactions. A model may be a caricature of a more real...
Dynamical Symmetries of Dirac Hamiltonian
Dynamical Symmetries Dirac Hamiltonian High Energy Physics - Phenomenology
2011/10/10
Abstract: Several dynamical symmetries of the Dirac hamiltonian are reviewed in a systematic manner and the conditions under which such symmetries hold. These includes relativistic spin and orbital an...
Dynamical locality and covariance: What makes a physical theory the same in all spacetimes?
Dynamical locality covariance physical theory spacetime
2011/7/26
Abstract: The question of what it means for a theory to describe the same physics on different spacetimes (of the same dimension) is discussed. To this end, a previously introduced functorial descript...
A new perspective on renormalization: invariant actions, a dynamical DNA
A new perspective a dynamical DNA
2011/9/5
This is a note to a quantum field theorist, interpreting the “Mallat” transformation (i.e., group invariant scattering) [1]. First the characteristics of the transformation are examined, and related t...
Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems
Higher-order systems Lagrangian and Hamiltonian formalisms Symplectic and presymplectic manifolds
2011/7/26
Abstract: The Lagrangian-Hamiltonian unified formalism of R. Skinner and R. Rusk was originally stated for autonomous dynamical systems in classical mechanics. It has been generalized for non-autonomo...
A new dynamical reflection algebra and related quantum integrable systems
dynamical reflection algebra quantum integrable systems High Energy Physics Theory
2011/7/26
Abstract: We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang-Baxter equations, coactions, f...