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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...
METRIC SCALE CALCULATION FOR VISUAL MAPPING ALGORITHMS
Visual SLAM Point Cloud Pose Estimation Scale Calculation Object Detection
2018/6/4
Visual SLAM algorithms allow localizing the camera by mapping its environment by a point cloud based on visual cues. To obtain the camera locations in a metric coordinate system, the metric scale of t...
Advanced Space Propulsion Based on Vacuum (Spacetime Metric) Engineering
Space propulsion metric engineering spacetime alteration warp drives wormholes polarizable vacuum
2012/4/20
A theme that has come to the fore in advanced planning for long-range space exploration is the concept that empty space itself (the quantum vacuum, or spacetime metric) might be engineered so as to pr...
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...
Imaginary-Scaling versus Indefinite-Metric Quantization of the Pais-Uhlenbeck Oscillator
Higher derivative theories ghosts indefinite metric Pais-Uhlenbeck Oscillator
2011/9/30
Abstract: Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic ma...
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 Compatible or Noncompatible Finsler-Ricci Flows
Finsler geometry, Ricci flows, geometric evolution
2011/9/6
There were elaborated different models of Finsler geometry using the Cartan (metric compatible), or Berwald and Chern (metric non朿ompatible) connections, the Ricci flag curvature etc. In a seri...
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...
Is the Schwarzschild Metric a Vacuum Solution of the Einstein Equation?
the Schwarzschild Metric Vacuum Solution the Einstein Equation
2011/9/13
This paper examines the inhomogeneous Einstein equation for a static spherically symmetric metric with a source term corresponding to perfect fluid with p = −. By a careful treatment of the equ...
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...
Hawking temperature for a global monopole metric in the context of k- essence and emergent gravity
global monopole metric context of k- essence emergent gravity
2010/12/20
The Hawking temperature for the Barriola-Vilenkin global monopole metric is shown to be TBV =
~(1− )2 8GMkB, where is the global monopole charge,M the mass of the black hole, kB is the Boltz...