A5101508700- Astrophysics and Cosmic Phenomena
- Neutrino Physics Research
- Particle physics theoretical and experimental studies
- Electrical Fault Detection and Protection
- Fusion materials and technologies
- Magnetic confinement fusion research
- Vacuum and Plasma Arcs
- Electrostatic Discharge in Electronics
- Advanced Combinatorial Mathematics
- Algebraic structures and combinatorial models
- Lightning and Electromagnetic Phenomena
- Graph theory and applications
- Random Matrices and Applications
- Matrix Theory and Algorithms
- Nuclear reactor physics and engineering
- Laser-Plasma Interactions and Diagnostics
Chinese Academy of Sciences
2023-2024
University of Science and Technology of China
2023-2024
Hefei Institutes of Physical Science
2023-2024
Institute of Plasma Physics
2023-2024
Fermi National Accelerator Laboratory
2020-2021
University of Chicago
2020-2021
Brookhaven National Laboratory
2020
Niels Brock
2018
University of Copenhagen
2018
If $A$ is an $n \times n$ Hermitian matrix with eigenvalues $\lambda _1(A),\dots ,$ _n(A)$ and $i,j = 1,\dots ,n$, then the $j$th component $v_{i,j}$ of a unit eigenvector $v_i$ associated to eigenvalue _i(A)$ related _1(M_j),\dots _{n-1}(M_j)$ minor $M_j$ formed by removing row column formula \begin{equation*} |v_{i,j}|^2\prod _{k=1;k\neq i}^{n}\left (\lambda _i(A)-\lambda _k(A)\right )=\prod _{k=1}^{n-1}\left _k(M_j)\right ). \end{equation*} We refer this identity as
We present a new method of exactly calculating neutrino oscillation probabilities in matter. leverage the "eigenvector-eigenvalue identity" to show that, given eigenvalues, all mixing angles matter follow surprisingly simply. The CP violating phase can then be determined from Toshev identity. Then, avoid cumbersome expressions for exact we have applied previously derived perturbative, approximate eigenvalues this scheme and discovered them even more precise than realized. also find that...
We further develop a simple and compact technique for calculating the three flavor neutrino oscillation probabilities in uniform matter density. By performing additional rotations instead of implementing perturbative expansion we significantly decrease scale perturbing Hamiltonian therefore improve accuracy zeroth order. explore relationship between that expansion. Based on our analysis, independent size potential, find first order perturbation can be replaced by two second one more...
We extend a simple and compact method for calculating the three-flavor neutrino oscillation probabilities in uniform matter density to schemes with sterile neutrinos, favorable features inherited. The only constraint of extended is that scale potential not significantly larger than atmospheric $\mathrm{\ensuremath{\Delta}}{m}^{2}$, which satisfied by all running proposed accelerator experiments. Degeneracies zeroth order eigensystem around solar resonances are resolved. Corrections results...
Understanding neutrino oscillations in matter requires a non-trivial diagonalization of the Hamiltonian. As exact solution is very complicated, many approximation schemes have been pursued. Here we show that one scheme, systematically applying rotations to change better basis, converges exponentially fast wherein rate convergence follows Fibonacci sequence. We find this procedure depends sensitively on initial choices as well mechanism selecting pivots. then apply scheme for and discover...
Transformer is the most important component in power distribution design, and its long-term operation cost determines of system. Therefore, it necessary to analyze transformer configuration considering efficiency economy for extremely high voltage laboratory, which used study lightning impact protection aircraft. In this paper, a medium system designed adapt laboratory test. We basic information such as type transformer, loss core material Then model capacity selection are calculated...
The switching network unit (SNU) is an important and indispensable system in nuclear fusion experiments. Its main components determine the response speed, reliability, working life other performance of system. According to design requirements, preliminary key was conducted. First, several SNU topologies were compared analyzed a promising scheme. Then, scheme designed analyzed. Finally, cost budget analysis spatial layout carried out. This article proposed feasible current preliminarily...
Vacuum Circuit Breaker (VCB) with oscillation zero-crossing circuit is used to interrupt high current, whether the VCB can successfully current depends on competition between post-arc dielectric recovery process and fracture voltage. The voltage largely peripheral of vacuum interrupter, so study plays a decisive role in breaking capacity VCB. Based theoretical analysis continuous transition model process, combined VCB, numerical simulation calculation established for sheath development stage...