n维耦合谐振子的能量谱条件数理论研究Theoretical Study of Energy Spectrum Condition Number of n-Dimension Coupled Harmonic Oscillator

2012 ◽  
Vol 02 (04) ◽  
pp. 77-81
Author(s):  
胡 奥
Keyword(s):  
Energy Spectrum ◽  
Harmonic Oscillator ◽  
Condition Number ◽  
Theoretical Study ◽  
Spectrum Condition ◽  
Coupled Harmonic Oscillator

scholarly journals EM Estimation of the X-Ray Spectrum With a Genetically Optimized Step-Wedge Phantom

2021 ◽  
Vol 9 ◽  
Author(s):  
Mengzhou Li ◽  
Feng-Lei Fan ◽  
Wenxiang Cong ◽  
Ge Wang
Keyword(s):  
Energy Spectrum ◽  
Condition Number ◽  
Linear Equations ◽  
Spectrum Estimation ◽  
Genetic Optimization ◽  
System Matrix ◽  
X Ray ◽  
Phantom Design ◽  
Selection Of ◽  
Spectrum Inversion

The energy spectrum of an X-ray tube plays an important role in computed tomography (CT), and is often estimated from physical measurement of dedicated phantoms. Usually, this estimation problem is reduced to solving a system of linear equations, which is generally ill-conditioned. In this paper, we optimize a phantom design to find the most effective combinations of thicknesses for different materials. First, we analyze the ill-posedness of the energy spectrum inversion when the number of unknown variables (N) and measurements (M) are equal, and show the condition number of the system matrix increases exponentially with N if the transmission thicknesses are linearly changed. Then, we present a genetic optimization algorithm to minimize the condition number of the system matrix in a general case (M < N) with respect to the selection of thicknesses and types of phantom materials. Finally, in the simulation with Poisson noise we study the accuracy of the spectrum estimation using the expectation-maximum algorithm. Our results indicate that the proposed method allows high-quality spectrum estimation, and the number of measurements is reduced over two thirds of that required by the widely-used method using a phantom with linearly-changed thicknesses.

Decoherence of Driven Coupled Harmonic Oscillator

2016 ◽  
Vol 01 (01) ◽  
Author(s):  
Kenfack Sadem Christian ◽  
Nguimeya GP ◽  
Talla PK ◽  
Fotue AJ ◽  
Fobasso MFC ◽  
...  
Keyword(s):  
Harmonic Oscillator ◽  
Coupled Harmonic Oscillator

scholarly journals Klein–Gordon particle near RN black hole, generalized sl(2) algebra and harmonic oscillator energy

2019 ◽  
Vol 34 (31) ◽  
pp. 1950196
Author(s):  
J. Sadeghi ◽  
M. R. Alipour
Keyword(s):  
Differential Equation ◽  
Information Theory ◽  
Black Hole ◽  
Energy Spectrum ◽  
Harmonic Oscillator ◽  
Three Dimensional ◽  
The Other ◽  
Thermodynamical Properties ◽  
Heun Functions ◽  
Klein Gordon

In this paper, we consider Klein–Gordon particle near Reissner–Nordström black hole. The symmetry of such a background led us to compare the corresponding Laplace equation with the generalized Heun functions. Such relations help us achieve the generalized [Formula: see text] algebra and some suitable results for describing the above-mentioned symmetry. On the other hand, in case of [Formula: see text], which is near the proximity black hole, we obtain the energy spectrum. When we compare the equation of RN background with Laguerre differential equation, we show that the obtained energy spectrum is same as the three-dimensional harmonic oscillator. So, finally we take advantage of harmonic oscillator energy and make suitable partition function. Such function help us to obtain all thermodynamical properties of black hole. Also, the structure of obtained entropy lead us to have some bit and information theory in the RN black hole.

scholarly journals Beyond synchronization: String instability in coupled harmonic oscillator systems

2014 ◽  
Vol 25 (15) ◽  
pp. 2745-2769 ◽  
Author(s):  
Bo Yu ◽  
James S. Freudenberg ◽  
R. Brent Gillespie ◽  
Richard H. Middleton
Keyword(s):  
Harmonic Oscillator ◽  
Coupled Harmonic Oscillator
Sign in / Sign up

Export Citation Format

Share Document