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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals
光子晶体 线性非线性特征值问题 近似 计算
2023/5/15
In this talk, we discuss the approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals. We discretize the shifted Maxwell operator with edge finite elements a...
Eigenvalue distributions from a star product approach
Eigenvalue distributions star product approach Mathematical Physics
2012/6/21
We use the well-known isomorphism between operator algebras and function spaces equipped with a star product to study the asymptotic properties of certain matrix sequences in which the matrix dimensio...
Metric deformation and eigenvalue problem in 2D for an irregular boundary
Metric deformation eigenvalue problem irregular boundary Quantum Physics
2011/7/28
Abstract: We prescribe a new formulation for solving the Helmholtz equation in 2D with irregular boundary. A suitable diffeomorphism is used to annul the asymmetries in the boundary by mapping it into...
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition
Eigenvalue Problem Two Dimensions Irregular Boundary II Neumann Condition
2011/7/26
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition.
Eigenvalue and eigenspace anholonomies in hierarchical systems
Eigenvalue eigenspace anholonomies hierarchical systems
2011/7/28
Abstract: An adiabatic cycle of parameters in a quantum system can yield the quantum anholonomies, nontrivial evolution not just in phase of the states, but also in eigenvalues and eigenstates. Such e...
Eigenvalue equation for a 1--D Hamilton function in deformation quantization
1--D Hamilton Eigenvalue equation deformation quantization
2011/7/25
Abstract: The choice of coordinates: time and energy as the most convenient for an eigenvalue equation for a 1--D nonrelativistic Hamiltonian in frames of deformation quantization has been proposed. A...
A family of anisotropic integral operators and behaviour of its maximal eigenvalue
Eigenvalues asymptotics positivity improving integral operators pseudodifferential operators
2011/7/27
A family of anisotropic integral operators and behaviour of its maximal eigenvalue.
Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities
Largest Schmidt eigenvalue entangled random pure states conductance distribution chaotic cavities
2010/10/21
A strategy to evaluate the distribution of the largest Schmidt eigenvalue for entangled random pure states of bipartite systems is proposed. We point out that the multiple integral defining the sought...
Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian
Eigenvalue Asymptotics magnetic field Landau-Neumann Hamiltonian
2009/9/4
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in ℝ2d, d≥1. The spectrum of this operator consists of clusters of eigenvalues around th...