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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 ...
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...
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...
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 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...
Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms
Derivation Quantum Mechanics Information-Theoretic Axioms
2010/11/8
Conventional quantum mechanics with a complex Hilbert space and the Born Rule is derived from five axioms describing properties of probability distributions for the outcome of measurements. Axioms I,...
Derivation of reduced two-dimensional fluid models via Dirac's theory of constrained Hamiltonian systems
two-dimensional fluid models Dirac's theory Hamiltonian systems
2010/4/1
We present a Hamiltonian derivation of a class of reduced plasma two-dimensional fluid models, an example being the Charney-Hasegawa-Mima equation. These models are obtained from the same parent Hamil...
Derivation of sensitivity of a Geiger mode APDs detector from a given efficiency for QKD experiments
Quantum Cryptography Detection sensitivity and efficiency
2010/4/7
The detection sensitivity (DS) of the commercial single-photon-receiver based on InGaAs gate-mode avalanche photodiode is estimated. Instalment of a digital-blanking-system (DBS) to reduce dark curren...
This paper deals with the foundations of quantum mechanics. We start by outlining the characterisation, due to Birkhoff and Von Neumann,of the logical structures of the theories of classical physics a...
Derivation of the Bosonic Part of the Electroweak Chiral Lagrangian
from a General Underlying Technicolor Theory
chiral
Lagrangian electroweak symmetry technicolor derivation
2007/8/15
2001Vol.36No.4pp.417-426DOI:
Derivation of the Bosonic Part of the Electroweak Chiral Lagrangian
from a General Underlying Technicolor Theory
WANG Zhi-Min1 and WANG Qing1,2,3
...