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Table of Content
20 March 2014 Volume 33 Issue 3
著者文摘
From the Dirac representation to quantum tomography
. 2014, 33(3): 1-1.
Abstract
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686
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463
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By means of both the representation transformation theory and the ordered product of operators （IWOP） , the theory of Gaussian integral structure is described. A new application of the representation theory, namely the representation transformation method is proposed and then the way how to introduce the concept of quantum tomography from Dirac representation is putted forward.
An approximate formula of the energy levels in one-dimensional half infinitely high square potential well
. 2014, 33(3): 3-3.
Abstract
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618
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(336KB) (
585
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By introducing an angle parameters, we get a new energy-level equation in the one-dimensional half infinitely high square potential well. From this, we obtain an approximate formula of energy levels, and the error is analyzed.
Numerical analysis of precession
. 2014, 33(3): 7-7.
Abstract
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763
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(321KB) (
485
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The limitation of the description of flywheel precession and formula of precession angular calculation in textbooks of college physics and mechanics are introduced. Theoretical analysis and numerical calculation of flywheel rotation around fixed point are conducted acccording to the Euler equation of motion. The general rule of flywheel nutation,precession and spin is provided for understanding of precession concept.
Electrostatic field of charged ellipsoid conductor
. 2014, 33(3): 11-11.
Abstract
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918
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(241KB) (
580
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According to the symmetry of electric field of charged ellipsoid conductor,the relationship for electric potential outside of charged ellipsoid conductor and ellipsoid geometry characteristics is calculated from special direction for electrostatic field. And then based to the eletric potential,the electric field strength of charged ellipsoid conductor is calculated.
TEM wave and characteristic impedance in parallel plate-cylindrical slab line
. 2014, 33(3): 13-13.
Abstract
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972
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(431KB) (
920
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An approximate solution of TEM wave in a parallel plate-cylindrical flat line is obtained by using the comformal mapping method. First,the cross section of parallel plate-cylindrical fiat line is transformed into the cross section of circular coaxial line by the conformal mapping,the solution of the electric field of the static field is obtained under the boundary conditions,and then the solution of the electric eield of TEM wave is got by multiplying the fluctuation factor. The magnetic field distribution is pressnted by the relationship of the contact of electirc and magnetic field accoding to the Maxwell＇ s equations,so the distribution of TEM wave in the circular coaxial line is given, and finally the distribution of TEM wave in the parallel plate-cylindrical fiat line is obtained by transformation function. By using Matlab softwave the map of the electromagnetic field the structure of TEM wave in the cross-section of the parallel plate-cylindrical fiat line is plotted, and its characteristic impedance is calculated. This research can be used to calculate the decay constant of the transnission line,realize its power capability,consider its power coupling and design the related active device.
Using cylindrical wave to prove the single slit Fraunhofer diffraction formula
. 2014, 33(3): 18-18.
Abstract
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803
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(344KB) (
630
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By analogy analysis of signal processing and optical information processing, we present a method that the cylindrical wave can be used as a basic element signal to expand light field information. The formula,which optical signal is expanded by the cylindrical wave, is given and the physical meanings of the weight factor are revealed. It is shown that the same result in the far field is obtained by using the cylindrical wave, spherical wave and plane wave as basic element signals.
One-dimensional potential well and extended X-ray absorption fine structure
. 2014, 33(3): 22-22.
Abstract
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559
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379
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An example of one-dimensional potential well is introduced.
Investigation on the energy levels and the wave functions of a particle in an infinitely deep potential well by virtue of the linear variational method
. 2014, 33(3): 24-24.
Abstract
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1012
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(430KB) (
881
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The energy levels and the wave functions of a particle in an infinitely deep potential well are investigated by virtue of the linear variational method and solving the generalized eigenvalue equation. The trial basis functions are composed of the independent polynomials which satisfy the continuous condition. It is indicated that the results of the linear variational method converge to the exact analytical results with the increase of the number of the＂ trial basis functions.
Elastic right collision experiments of a steel ball and a bigger one
. 2014, 33(3): 28-28.
Abstract
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838
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(252KB) (
485
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Elastic right collision experiments motion states of the two balls before and after a of a steel ball and a bigger one are made, which show that the collision are discrete and only four different values, and collision makes their state jump from one value to another in circles.
Research on the liquid viscosity using non-uniform falling ball method
. 2014, 33(3): 30-30.
Abstract
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1004
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(702KB) (
466
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A new method for the equation of accelerate motion of a small ball in the liquid is used to measure the viscosity of fluid. The principle of measuring the displacement of the ball in the liquid at different times is used to determine the viscosity of fluid by using origin software nonlinear fitting function of the measurement.
Simulation of the charged particle motion in the magnetic mirror
. 2014, 33(3): 35-35.
Abstract
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1015
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(492KB) (
504
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A magnetic confinement field to simulate the movement of the charged particles in the magnetic field is constructed. Through theoretical analysis and numerical simulation, we studied the movement of charged particles in the magnetic mirror and visualized the calculated results.
Measuring the magnetic permeability of ferrimagnetic material based on Lissajous method
. 2014, 33(3): 41-41.
Abstract
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786
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(305KB) (
469
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A novel method of measuring the magnetic permeability of ferrimagnetic materials is proposed based on Lissajous figures. Theoretically, based on Ampere circuital theorem and Faraday＇s law, the measurement system consists of oscillograph and signal generator. The system is capable of measuring the permeability of ferrimagnetic materials by using X-Y mode of oscillograph. Experiment results are shown at different frequencies of applied magnetic field.
Holographic fabrication of the ten symmetrical photonic quasicrystals
. 2014, 33(3): 44-44.
Abstract
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758
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(627KB) (
432
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Ten symmetrical photonic quasicrystals can be created by interference of five laser beam by theoretical analysis. In the experiment in order to simplify the optical path, five making beams is obtained by parallel light diffracted by five gratings. Through adjusting the distribution of five gratings and grating constant, the required beam deflection angle is obtained. And the measured lattice constants are coincident well with the calculated values.
The experiment design of gamma spectrum measurement without radiation source
. 2014, 33(3): 47-47.
Abstract
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853
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(483KB) (
431
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In order to open the gamma ray spectrum experiment without radiation source, the ^40K within potassium chloride is used to replace the radiation sources, and the content of potassium chloride, the devices, and experimental content are designed. Moreover, the radiation damage is analyzed. The results show that potassium chloride can not only meet the requirement of the gamma spectrum measurement, but also increase the number of experiments. Furthermore, the calculated and measurement radiation dose below the standard of radiation source, so students can finish the experiment safely. Our experimental method is unrestricted by the rules of Environmental Protection Department, help students allay fears, and save the administration cost. Last but not least, the gamma spectrum experiment courses can be opened in some non-nuclear university.
Study of acousto-optic effeet in the experiment measuring for the speed of light with optical beat
. 2014, 33(3): 51-51.
Abstract
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674
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PDF
(414KB) (
985
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Acoustic-optic effect in the experiment measuring for the speed of light with optical beat is studied based on modification of the light speed apparatus LM2000C. This modification makes frequency shift of the scattered light visible on an oscilloscope. Student can obtain the relationship between frequency shift and the modulated ultrasonic frequency. This help them to get better understanding of acoustic-optic effect and optical beat formation in the experiment measuring for the speed of light with optical beat.
Lattice Boltzmann method study for the mechanism of negative pressure
. 2014, 33(3): 55-55.
Abstract
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896
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PDF
(589KB) (
679
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We use the lattice Boltzmann method （LBM） to study the evolution of phase transition procedure, and reveal the mechanism of negative pressure in the gas-liquid mixing system. Shan-Chen model can be used to simulate the phase transition phenomenon, this model uses a pseudo-potential to represent the interaction between different phases, thereby controlling the separation of different phases, with the help of inter-particle force we can obtain an equation of state like the van der Waals equation of state, then we can determine the critical conditions of phase transition and the generation of negative pressure through the study of the state equation. Using the LBM, it is possible to make the numerical simulation of phase transition and the negative pressure phenomenon, and verifying Laplace＇s law in the gas-liquid mixing system. From the results, we have found that when the droplet is in both force and thermal equilibrium with the surrounding gas, the relationship between the pressure difference and the droplet＇ s radius fits Laplace＇ s law very well. In addition, it generates negative pressure in the gas-liquid interface. To make the theoretical explanation consistent with the results of numerical simulation, we adopt the real van der Waals equation of state and the molecular dynamic method to explain the origin of negative pressure. When the inner pressure is strong enough, the negative pressure will appear. Explaining the generation of inner pressure causes further understanding of the microscopic mechanism of negative pressure.
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