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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Derivation of the Vlasov equation from quantum many-body Fermionic systems with singular interaction
奇异相互作用 量子多体 费米子系统 弗拉索夫方程
2023/4/13
We consider the combined mean-field and semiclassical limit for a system of the N fermions interacting through singular potentials. We prove the uniformly in the Planck constant h propagation of quant...
Circular Sound Wave Scattering Derivation for Acoustic Cloak Detection
Circular Sound Wave Scattering Derivation Acoustic Cloak Detection Classical Physics
2012/5/29
In this Letter we develop analytical formulations to describe sound scattering in lossless medium due to 2D circular wave incident on an acoustic cloak. A perfect acoustic cloak is reflectionless and ...
Asymptotic Derivation and Numerical Investigation of Time-Dependent Simplified Pn Equations
Asymptotic Derivation Numerical Investigation Time-Dependent Simplified Pn Equations Computational Physics
2012/5/28
The steady-state simplified Pn (SPn) approximations to the linear Boltzmann equation have been proven to be asymptotically higher-order corrections to the diffusion equation in certain physical system...
Derivation of the Schrodinger equation from the Hamilton-Jacobi equation in Feynman's path integral formulation of quantum mechanics
Derivation of the Schrodinger equation Hamilton-Jacobi equation Feynman's path integral formulation of quantum mechanics
2012/4/19
It is shown how the time-dependent Schr\"{o}dinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equat...
On the Rigorous Derivation of the 3D Cubic Nonlinear Schr鰀inger Equation with A Switchable Quadratic Trap
Gross-Pitaevskii Hierarchy Switchable Quadratic Trap Collapsing Estimate Klainerman-Machedon Board Game and Space-time Bound
2012/4/17
We consider the dynamics of the 3D N-body Schr\"odinger equation in the presence of a switchable quadratic trap. We assume the pair interaction potential is N^{3{\beta}-1}V(N^{{\beta}}x). We justify t...
A derivation of the Breit equation from Barut's covariant formulation of electrodynamics in terms of direct interactions
Breit equation Barut's covariant formulation Quantum Physics High Energy Physics - Theory
2011/10/10
Abstract: We study Barut's covariant equations describing the electromagnetic interactions between N spin-1/2 particles. In the covariant formulation each particle is described by a Dirac spinor. It i...
On Rigorous Derivation of the Enskog Kinetic Equation
BBGKY hierarchy Enskog equation kinetic cluster expansion scattering cumulant hard spheres
2011/9/22
Abstract: We develop a rigorous formalism for the description of the kinetic evolution of infinitely many hard spheres. On the basis of the kinetic cluster expansions of cumulants of groups of operato...
Derivation of Invariant Varieties of Periodic Points from Singularity Confinement
integrable maps singularity confinement invariant variety of periodic points
2011/8/31
Abstract: It was shown, in our previous works, that periodic points of $d$ dimensional rational integrable maps form varieties if the number of invariants $p$ is greater than $d/2$. In the case of 3 d...
A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field
Processes in random environments Quantum field theory Coherent states Kinetic theory of gases
2011/8/25
Abstract: The linear Boltzmann equation is derived from a microscopic quantum model of a particle interacting, in the weak coupling limit, with a translation invariant and centered Gaussian random fie...
Derivation and quantitative analysis of the differential self-interrogation Feynman-alpha method
Derivation quantitative analysis differential self-interrogation Feynman-alpha
2011/7/20
A stochastic theory for a branching process in a neutron population with two energy levels is used to assess the applicability of the differential self-interrogation Feynman-alpha method by numericall...
A thermal field theory derivation of the source term induced by a fast parton from the quark energy-momentum tensor
thermal field theory derivation term induced quark energy-momentum tensor
2011/1/5
I derive the distribution of energy and momentum transmitted from a fast parton to a medium of
thermalized quarks, or the source term, in perturbative thermal field theory directly from the quark ene...
A thermal field theory derivation of the source term induced by a fast parton from the quark energy-momentum tensor
thermal field theory derivation of the source term fast parton quark energy-momentum tensor
2011/1/10
I derive the distribution of energy and momentum transmitted from a fast parton to a medium of
thermalized quarks, or the source term, in perturbative thermal field theory directly from the quark ene...
A thermal field theory derivation of the source term induced by a fast parton from the quark energy-momentum tensor
thermal field theory derivation source term induced fast parton quark energy-momentum tensor
2010/12/29
I derive the distribution of energy and momentum transmitted from a fast parton to a medium of thermalized quarks, or the source term, in perturbative thermal field theory directly from the quark ener...
A Simplified, Bohr Quantum Theoretical Derivation of the Unruh Temperature, Entropy, and Evaporation
General Relativity and Quantum Cosmology(gr-qc) Quantum Physics(quant-ph)
2010/11/9
In this work we reproduce Unruh temperature for a spherical physical system using a simplified rule, very similar to Bohr angular momentum quantization postulate interpreted via de Broglie relation, a...
A Simplified, Bohr Quantum Theoretical Derivation of the Unruh Temperature, Entropy, and Evaporation
Simplified Bohr Quantum Theoretical Derivation Unruh Temperature
2010/12/20
In this work we reproduce Unruh temperature for a spherical physical system using a simplified rule, very similar to Bohr angular momentum quantization postulate interpreted via de Broglie relation, a...