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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Heisenberg-Pauli-Weyl uncertainty principle based on Phase derivatives
相位导数 Heisenberg Pauli-Weyl不确定性原理
2023/11/13
In this talk we introduce some recent developments of Heisenberg-Pauli-Weyl uncertainty principle in the different settings.
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...
Equivalence Principle Violations and Couplings of a Light Dilaton
Exchange of light coupling inverse cubic root atoms scalar coupling parameterized
2014/12/18
We consider possible violations of the equivalence principle through the exchange of a light “dilaton-like” scalar field. Using recent work on the quark-mass dependence of nuclear binding, we find tha...
Phenomenology of the equivalence principle with light scalars
Scalar particles of light the coupling strength scalar atoms coupling system the coupling
2014/12/18
Light scalar particles with couplings of sub-gravitational strength, which can generically be called 'dilatons', can produce violations of the equivalence principle. However, in order to understand ex...
Goldilocks principle wrong for particle assembly: Too hot and too cold is just right（图）
cold right particle
2014/12/1
Microscopic particles that bind under low temperatures will melt as temperatures rise to moderate levels, but re-connect under hotter conditions, a team of New York University scientists has found. Th...
Goldilocks principle wrong for particle assembly: Too hot and too cold is just right
The particle assembly Microscopic particles
2014/10/30
Microscopic particles that bind under low temperatures will melt as temperatures rise to moderate levels, but re-connect under hotter conditions, a team of New York University scientists has found. Th...
Huygens' Principle for the Klein-Gordon equation in the de Sitter spacetime
Huygens’ Principle Klein-Gordon Equation de Sitter spacetime Higuchi Bound
2012/6/14
In this article we prove that the Klein-Gordon equation in the de Sitter spacetime obeys the Huygens' principle if and only if the physical mass $m$ of the scalar field and the dimension $n$ of the sp...
Does Lorentz Force Law Contradict the Principle and Theories of Relativity for Uniform Linear Motion?
Lorentz Force Law Principle and Theories of Relativity Uniform Linear Motion Classical Physics
2012/5/29
I show that no force or torque is generated in cases involving a charge and a magnet with their relative velocity zero, in any inertial frame of reference. A recent suspicion of an anomalous torque an...
Hamilton's principle is extended to have compatible initial conditions to the strong form. To use a number of computational and theoretical benefits for dynamical systems, the mixed variational formul...
On quantum Huygens principle and Rayleigh scattering
quantum Huygens principle Rayleigh scattering ionization
2012/2/29
We prove several minimal photon velocity estimates below the ionization threshold for a particle system coupled to the quantized electromagnetic or phonon field. Using some of these results, we prove ...
Unitary representations of the Galilean line group: Quantum mechanical principle of equivalence
Unitary representations the Galilean line group Quantum mechanical principle of equivalence
2011/9/5
Abstract: We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanics rests on...
Surface tension of multi-phase flow with multiple junctions governed by the variational principle
multi-phase flowsurface tensionmultiple junctionvolume preserving diffeomorphism
2011/8/17
Abstract: We explore a computational model of an incompressible fluid with a multi-phase field in three-dimensional Euclidean space. By investigating an incompressible fluid with a two-phase field geo...
Time Dependent Variational Principle and Coherent State Orbits for a Trapped Ion
Time Dependent Variational Principle Coherent State Orbits Trapped Ion
2011/9/29
Abstract: Spectral properties of the Hamiltonian function which characterizes a trapped ion are investigated. In order to study semiclassical dynamics of trapped ions, coherent state orbits are introd...
Selection of measure and a Large Deviation Principle for the general XY model
the general XY model Large Deviation Principle Dynamical Systems
2011/7/28
Selection of measure and a Large Deviation Principle for the general XY model.
First considerations on the generalized uncertainty principle for finite-dimensional discrete phase spaces
First considerations the generalized uncertainty principle finite-dimensional discrete phase spaces
2011/7/27
Abstract: Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent two important results derived of various approaches related to quantum gravity and black hole p...