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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Semiclassical oscillating functions of isotropic type and their applications
各向同型 半经典 振荡函数
2023/5/8
Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillat...
Semiclassical resolvent estimates at trapped sets
Resolvent estimates trapping propagation of singularities
2012/6/21
We extend our recent results on propagation of semiclassical resolvent estimates through trapped sets when a priori polynomial resolvent bounds hold. Previously we obtained non-trapping estimates in t...
A semiclassical heat trace expansion for the perturbed harmonic oscillator
semiclassical heat trace expansion the perturbed harmonic oscillator Spectral Theory
2011/9/9
Abstract: In this paper we study a semiclassical heat trace expansion for perturbations of the harmonic oscillator, by adapting to the semiclassical setting techniques developed by Hitrik and Polterov...
Drift wave turbulence in a dense semiclassical magnetoplasma
Drift wave turbulence semiclassical magnetoplasma Plasma Physics
2011/8/3
Abstract: A semiclassical nonlinear collisional drift wave model for dense magnetized plasmas is developed and solved numerically. The effects of fluid electron density fluctuations associated with qu...
Resonant uniqueness of radial semiclassical Schrodinger operators
inverse scattering theory trace invariants semiclassical Schrodinger operators
2011/8/25
Abstract: We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger...
Andreev reflection and the semiclassical Bogoliubov-de Gennes Hamiltonian: resonant states
the semiclassical Bogoliubov-de Gennes Hamiltonian resonant states Mathematical Physics
2011/8/25
Abstract: We present a semi-classical analysis of the opening of superchannels in gated mesoscopic SNS junctions. For perfect junctions (i.e. hard-wall potential), this was considered by Chtchelkatche...
Semiclassical limit for generalized KdV equations before the gradient catastrophe
Semiclassical limit generalized KdV equations the gradient catastrophe Analysis of PDEs
2011/8/24
Abstract: We study the semiclassical limit of the (generalised) KdV equation, for initial data with Sobolev regularity, before the time of the gradient catastrophe of the limit conservation law. In pa...
Semiclassical Description of Relativistic Spin without use of Grassmann variables and the Dirac equation
Relativistic Spin Grassmann variables Dirac equation
2011/9/29
Abstract: We propose the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Both $\Gamma$\,-matrices and the relativistic spin-ten...
Charged States In A Semiclassical Model Of Infrared Gupta-Bleuler Quantum Electrodynamics
infrared problem quantum electrodynamics local gauge quantization solvable models
2011/7/26
Abstract: We address the problem of the identification and characterization of charged states within local and covariant quantizations of abelian gauge theories, focusing on a semiclassical model of i...
Semiclassical approach to fidelity amplitude
fidelity amplitude semiclassical theory chaotic systems Lyapunov decay
2011/7/6
The fidelity amplitude is a quantity which is of paramount importance in echo type experiments. We use semiclassical theory to study the average fidelity amplitude for quantum chaotic systems under ex...
The semiclassical limit of focusing NLS for a family of non-analytic initial data
semiclassical limit non-analytic initial data NLS
2011/7/7
The small dispersion limit of the focusing nonlinear Schro\"odinger equation (NLS) exhibits a rich structure of sharply separated regions exhibiting disparate rapid oscillations at microscopic scales....
Semiclassical limit for the nonlinear Klein Gordon equation in bounded domains
Klein Gordon Equation Semiclassical Limit Variational Methods Nonlinear Equations
2011/2/28
We are interested to the existence of standing waves for the nonlinear Klein Gordon equation "2 + W′( ) = 0 in a bounded domain D.
Three-point correlation functions from semiclassical circular strings
Three-point correlation functions semiclassical circular strings
2010/12/22
The strong-coupling limit of three-point correlation functions of local operators can be analyzed beyond the supergravity regime using vertex operators representing spinning string states. When two of...
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 ...
Semiclassical limit for mixed states with singular and rough potentials
Semiclassical limit for mixed states singular rough potentials
2011/1/20
We consider the semiclassical limit for the Heisenberg-von Neumann equation with a potential which consists of the sum of a repulsive Coulomb potential, plus a Lipschitz po-tential whose gradient belo...