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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear Schrodinger equations on metric graphs
度量图 非线性 薛定谔方程
2023/5/12
This talk will introduce some topics related to the study of nonlinear Schr?dinger equation on metric graphs, and then show the existence result of concentrated solutions to NLS equations on compact g...
Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces
Quadratic estimates holomorphic functional calculi doubling measure measure metric space Dirac type operators
2011/9/15
Abstract: We consider perturbations of Dirac type operators on complete, connected metric spaces equipped with a doubling measure. Under a suitable set of assumptions, we prove quadratic estimates for...
Induced Metric And Matrix Inequalities On Unitary Matrices
eigenvalues, metric, singular values, quantum information science, quantum mechanics, unitary matrices
2011/8/25
Abstract: We show that any symmetric norm on $\bR^n$ induces a metric on U(n), the group of all $n\times n$ unitary matrices. Using the same technique, we prove an inequality concerning the eigenvalue...
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...
Uniform existence of the integrated density of states on metric Cayley graphs
random Schrodinger operator metric graph quantum graph integrated density of states
2011/7/27
Abstract: Given a finitely generated amenable group we consider ergodic random Schr\"odinger operators on a Cayley graph with random potentials and random boundary conditions. We show that the normali...
Metric Compatible or Noncompatible Finsler-Ricci Flows
Finsler geometry Ricci flows geometric evolution
2011/7/28
Abstract: There were elaborated different models of Finsler geometry using the Cartan (metric compatible), or Berwald and Chern (metric non-compatible) connections, the Ricci flag curvature etc. In a ...
The Quillen metric, analytic torsion and tunneling for high powers of a holomorphic line bundle
Holomorphic line bundle determinant bundle analytic torsion supersymmetry quantum mechanics
2011/7/28
Let L be a line bundle over a compact complex manifold X (possibly non-Kahler) and denote by h_{L} and h_{X} fixed Hermitian metrics on L and TX, respectively. We generalize the asymptotics for the in...
Finite propagation speed for solutions of the wave equation on metric graphs
Metric graphs Laplace operators wave equation finite propagation speed
2011/7/25
Abstract: We provide a class of self-adjoint Laplace operators on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed property. The ...
Geometric quantization and the metric dependence of the self-dual field theory
Geometric quantization self-dual field theory
2010/12/24
We investigate the metric dependence of the partition function of the self-dual p-form gauge field on an arbitrary Riemannian manifold. Using geometric quantization of the space of middle-dimensional...
Exact Solutions of the Self-consistent System of Relativistic Magnetohydrodynamics Equations for an Anisotropic Plasma on the Background of Bondi-Pirani-Robinson's Metric
the Self-consistent System Relativistic Magnetohydrodynamics Equations
2010/11/17
Exact solutions of the self-consistent relativistic magnetohydrodynamics equations for an anisotropic magnetized plasma on the background of Bondi-Pirani-Robinson's vacuum plane gravitational wave (P...
Metric of Rotating Charged Spherical Mass in Vacuum
for Vector Graviton Metric Theory of Gravitation
metric theory of gravitation vector graviton field tetrad Kerr-Newman metric
2007/8/15
2005Vol.44No.5pp.855-857DOI:
Metric of Rotating Charged Spherical Mass in Vacuum
for Vector Graviton Metric Theory of Gravitation
QIAN Shang-Wu,1 ZHONG Zai-Zhe,2 and GU Zhi-Yu3
...