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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
2023/5/12
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...
Noncommutative deformations of quantum field theories, locality, and causality
noncommutative quantum field theory Moyal and Wick-Voros star products
2011/3/3
We investigate noncommutative deformations of quantum field theories for different star products, particularly emphasizing the locality properties and the regularity of the deformed fields.
Constructing Exactly Solvable Pseudo-hermitian Many-particle Quantum Systems by Isospectral Deformation
Solvable Pseudo-hermitian Many-particle Quantum Systems Isospectral Deformation
2011/3/2
A class of non-Dirac-hermitian many-particle quantum systems admit-ting entirely real spectra and unitary time-evolution is presented. These quantum models are isospectral with Dirac-hermitian systems...
Effective evolution equations from many body quantum dynamics
Effective evolution equations many body quantum dynamics
2011/2/24
In these notes we review some recent results concerning the derivation of effective
equations from first principle quantum dynamics. In particular, we discuss the derivation
of the semi-relativistic...
Collective versus Single--Particle Motion in Quantum Many--Body Systems: Spreading and its Semiclassical Interpretation
collective motion semiclassical physics perturbation theory
2010/12/28
We study the interplay between collective and incoherent single–particle motion in a model of two chains of particles whose interaction comprises a non–integrable part. In the perturbative regime,but ...
Extended Supersymmetric Quantum Mechanics of Fierz and Schur Type
Extended Supersymmetric Quantum Mechanics Fierz Schur Type
2011/1/18
We discuss two independent constructions to introduce an N-extended Super-symmetric Quantum Mechanics. The first one makes use of the Fierz identities while the second one (divided into two subcases) ...
Magnetic Field Control of the Quantum Chaotic Dynamics of Hydrogen Analogues in an Anisotropic Crystal Field
Magnetic Field Control Quantum Chaotic Dynamics Hydrogen Analogues
2010/4/2
We report magnetic field control of the quantum chaotic dynamics of hydrogen analogues in an anisotropic solid state environment. The chaoticity of the system dynamics was quantified by means of energ...
Propagation of Molecular Chaos by Quantum Systems and the Dynamics of the Curie-Weiss Model
Molecular Chaos Quantum Systems Dynamics the Curie-Weiss Model
2010/11/1
The propagation of molecular chaos, a tool of classical kinetic theory, is generalized to apply to quantum systems of distinguishable particles. We prove that the Curie-Weiss model of ferromagnetism ...