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Table of Content
20 January 2013 Volume 32 Issue 1
著者文摘
Wave function and Coulomb correlation effect of Helium ground state
. 2013, 32(1): 1-1.
Abstract
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891
)
PDF
(837KB) (
792
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By comparing the differences between the Roothaan-Hartree-Fock function, configuration interac-tion wave function and Hylleraas-type wave function of Helium ground state, we present intuitive figures to show the reason why Hylleraas-type wave function is more accurate than the others is that it reflects the Coulomb correlation between electrons correctly. A careful analysis of Hylleraas function indicates that Coulomb correlation tends to make the two electrons on the opposite side of nucleus; a simple model of Helium is proposed accordingly which can produce the ground state energy agreement with the experiment.
Wave function and Coulomb correlation effect of Helium ground state
. 2013, 32(1): 5-5.
Abstract
(
1188
)
PDF
(696KB) (
599
)
Related Articles
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Metrics
By comparing the differences between the Roothaan-Hartree-Fock function, configuration interaction wave function and Hylleraas-type wave function of Helium ground state, we present intuitive figures to show the reason why Hylleraas-type wave function is more accurate than the others is that it reflects the Coulomb correlation between electrons correctly. A careful analysis of Hylleraas function indicates that Coulomb correlation tends to make the two electrons on the opposite side of nucleus; a simple model of Helium is proposed accordingly which can produce the ground state energy agreement with the experiment.
The transformation of a damped harmonic oscillator to a simple harmonic oscillator
. 2013, 32(1): 9-9.
Abstract
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846
)
PDF
(161KB) (
534
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In three formulations of Newtonian mechanics, Lagrangian mechanics and Hamiltonian mechanics, adamped harmonic oscillator is transformed to a simple harmonic oscillator by using transformation of variable.
The electric field distribution of elliptic cylinder capacitor and its voltage endurance capability
. 2013, 32(1): 10-10.
Abstract
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765
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PDF
(445KB) (
484
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By using the Roucofeskie＇s conversion in the complex coordinate system and analyzing its vector typeof field distribution, we present numerical simulation by numerical computation function of data processing software MATLAB. The change of the voltage endurance capability of elliptic cylinder capacitor relative to cylindrical capacitor is studied.
The transformation of a damped harmonic oscillator to a simple harmonic oscillator
. 2013, 32(1): 14-14.
Abstract
(
1050
)
PDF
(310KB) (
1142
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In three formulations of Newtonian mechanics, Lagrangian mechanics and Hamihonian mechanics, a damped harmonic oscillator is transformed to a simple harmonic oscillator by using transformation of variable.
Effect of Poisson＇s ratio on experiment of measuring Young＇s modulus of materials using stretched method
. 2013, 32(1): 18-18.
Abstract
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1184
)
PDF
(328KB) (
999
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In the experiment measuring materials of Young＇s modulus using stretched method, its diametergradually decreases along with the length of it gradually stretches, so one needs to consider this problem. Taking the measurement of Young＇s modulus of the silica gel as an example, we convert the change of its diameter to its elongation. The experimental results of introducing Poisson＇s ratio show that the uncertainty decreases and the accuracy is improved.
Application of the equivalent circuit model in electrode effect of ionic liquid
. 2013, 32(1): 21-21.
Abstract
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786
)
PDF
(366KB) (
648
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The system of ionic liquid and electrode is simplified by the model of equivalent circuit and threecharacteristic frequencies and physical meanings in electrode polarization effects are analyzed. Based on dielectric spectroscopy data, we obtain the basic equivalent circuit parameters： bulk capacitance, bulk resistance and double layer capacitance, dielectric parameters of ionic liquid and electrical double layer, as well as physical parameters related on ion mobility： diffusion coefficient, mobility, effect number density, which play the important significance in depth understanding charge transport mechanism and electrical double layer property of ionic liquid.
Effect of Poisson＇s ratio on experiment of measuring Young＇s modulus of materials using stretched method
. 2013, 32(1): 25-25.
Abstract
(
877
)
PDF
(1073KB) (
700
)
Related Articles
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Metrics
In the experiment measuring materials of Young＇s modulus using stretched method, its diametergradually decreases along with the length of it gradually stretches, so one needs to consider this problem. Taking the measurement of Young＇s modulus of the silica gel as an example, we convert the change of its diameter to its elongation. The experimental results of introducing Poisson＇s ratio show that the uncertainty decreases and the accuracy is improved.
Introduction to acoustic black hole
. 2013, 32(1): 30-30.
Abstract
(
2710
)
PDF
(372KB) (
1584
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An analogue model for gravity black hole, the acoustic black hole, is introduced. The analoguemechanism is shown from the aspects of both geometrical acoustics and physical acoustics. The definition of acoustic black hole and its structure are introduced. The important developments in history of the study on acoustic black hole are reviewed. The difficulties in both theory and experiment of today＇ s research on acoustic black hole are analyzed. We also give an outlook for the further research on the acoustic black hole.
The ellipitical cycloid
. 2013, 32(1): 33-33.
Abstract
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1231
)
PDF
(167KB) (
386
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A smooth curve rolls without slipping outside another smooth curve. The orbit travelled by the fixedpoint on the rolling curve is a generalized cycloid. The equation of cycloid can be obtained by the arc-length coordinate. For the ellipse case, the ellipitical cycloid is drawn.
Measurement of the weak magnetic forces of diamagnetic and paramagnetic materials in magnetic field
. 2013, 32(1): 35-35.
Abstract
(
817
)
PDF
(267KB) (
666
)
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The weak magnetic forces of diamagnetic graphite and paramagnetic aluminum foils have been successfully measured, the relations between the weak magnetic force and magnetic field as well as magnetic field gradient are also obtained. It is shown that the magnetic force is proportional to the product of magnetic field and its gradient
Calculation of the electric field of finite uniformly charged cylinder with excavated a small cylinder by using the idea of polygon approximation
. 2013, 32(1): 38-38.
Abstract
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804
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PDF
(659KB) (
435
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According to the formula of the electric field due to finite unifomfly charged line and the superposition of electric field, this article gives a new method to calculate the electric field of finite uniformly charged cylinder with excavated a small cylinder, （in vacuum） which is easier, faster and more definite than the method using elliptical integral. Furthermore, discussion and simulation of the cases that arbitrary number of small cylinders are excavated are presented.
Study of mobile phone electromagnetic radiation
. 2013, 32(1): 42-42.
Abstract
(
977
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PDF
(453KB) (
886
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According to the electromagnetics theory and the measurement model of speclfic absorption rate（SAR） , we simplify the method of measurement for mobile phone electromagnetic radiation. The level of mobile phone electromagnetic radiation is measured by magnetic flux density of near-field thermal radiation of mobile phone. With experimental measurements and numerical analysis of magnetic flux densityin the different mobile phone use state, we summarize the general rules of mobile phone electromagnetic radiation. It is found that mobile phone electromagnetic radiation when phone is switched is few times to normal call, brand mobile phone radiation is relatively weak, and the mobile phone on moving has more electromagnetic radiation than phone at a standstill. Put forward countermeasures and suggestions to reduce the influence of mobile phone electromagnetic radiation on the human.
Fully phase image encryption based on two-step-only quadrature phase-shifting interferometry and fractional Fourier transform
. 2013, 32(1): 46-46.
Abstract
(
889
)
PDF
(692KB) (
576
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A novel fully phase image encryption technique based on two-step-only quadrature phase-shiftingdigital holography and double random phase encoding in fractional Fourier transform （FRT） domain is proposed, in which only two quadrature phase holograms are required and neither reference-wave intensity nor object-wave intensity measurement is needed. A primary amplitude image is modulated to a fully phase image, and then the fully phase image is encoded into two quadrature digital holograms by using double random-phase masks （RPMS） encoding in the input and fractional Fourier domain transform planes, respectively. The clear primary image can be recovered by simple algorithm with the right keys. The feasibility and validity of this technique has been proved by simulation experiments. And the robustness against occlusion and noise attacks, as well as the effect of the reference wave intensity to image encryption and decryption, has also been investigated.
The numerical simulation of diffraction
. 2013, 32(1): 50-50.
Abstract
(
780
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PDF
(595KB) (
757
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The method in angular spectrum theory to get the diffraction formula with solving the Helmhohz equation directly is introduced. The neai-field diffraction of a 15×15 array of square apertures is calculated, and the Talbot images of the periodic diffraction screen is arisen at specific distances.
Measuring refractive index of liquid with liquid-core cylindrical lens
. 2013, 32(1): 52-52.
Abstract
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1066
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PDF
(428KB) (
766
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A liquid-core cylindrical lens is designed and fabricated, which is used to measure accurately therefractive index of liquid filled into the core region of the cylindrical lens. The focal length of such a cylindrical lens is varied with the refractive index of core liquid, which can be known by measuring experimentally the related focal length. Due to a high sensitivity in measuring refractive index and a short depth of field, a high accuracy in measurement of refractive index is ensured. The accuracy of refractive index for one single measurement is better than 0. 0002 in the range of 1.3 - 1. 642, when a×20 objective is used in a reading microscope. By either enhancing sensitivity of refractive index of the cylindrical lens or enlarging effective numerical aperture of the measurement system, we find that the accuracy of refractive index can be further improved.
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