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Table of Content
20 August 2017 Volume 36 Issue 8
Relativistic De Broglie matter wave and its application in Aharonov-Bohm effect
CUI Huai-yang
College Physics. 2017, 36(8): 1-4. doi:
10.16854 /j.cnki.1000-0712.2017.08.001
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A new approach is proposed for extending the De Broglie matter wave to relativistic formalism.The relativistic matter wave expression is obtained and applied successfully to explain the Aharonov-Bohm effect.The fine structure in the hydrogen energy levels is calculated，which is in well agreement with experiments and in accordance with the prediction of other quantum theories of the subjects considered.
Study of the behavior of mesoscopic Josephson junctions in the presence of external fields by using the technique of the eigen-operator
HE Rui，YU He，MA Yun
College Physics. 2017, 36(8): 5-7. doi:
10.16854 /j.cnki.1000-0712.2017.08.002
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1088
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463
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The Hamilton of the interaction system between field and a mesoscopic Josephson junction is introduced in detail.The quantization scheme of the system is discussed.The technique of“eigen-operator”and its basic application are discussed briefly.Thus the interval of energy level of mesoscopic Josephson junctions in the presence of external fields is calculated by using the technique of the eigen-operator.
Wigner functions for damped systems in non-commutative phase space
WANG Ya-hui
College Physics. 2017, 36(8): 8-10. doi:
10.16854 /j.cnki.1000-0712.2017.08.003
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1233
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397
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Based on the property of Wigner function，we use quantum mechanics to deal with damped system. The Wigner function of the damped harmonic oscillator in non-commutative phase space is obtained by considering the non-commutative of the coordinate-coordinate and momenta-momenta in the relation of space variable.
Investigation on Clebsch-Gorden coefficients from view of representation transformation
ZHU Zheng
College Physics. 2017, 36(8): 11-13. doi:
10.16854 /j.cnki.1000-0712.2017.08.004
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1482
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1506
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From view of representation transformation and with the help of two simple examples，clearer physical picture and easier calculation process are given.
The motion of a ball starting from a fixed point at the top
JING Yi-lin
College Physics. 2017, 36(8): 14-16. doi:
10.16854 /j.cnki.1000-0712.2017.08.005
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1278
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609
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The motion of a ball starting from the fixed top pointis analyzed in detail. A mistake and inappropriate in the book of a course of theoretical mechanics written by ZHOU Yan-bai is pointed out.
Symplectic analysis method for LC oscillation circuit
YANG Hong-wei，GAO Ran-ran，MENG Shan-shan
College Physics. 2017, 36(8): 17-20. doi:
10.16854 /j.cnki.1000-0712.2017.08.006
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1268
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The symplectic method of Hamilton system is discussed and extended to the LC oscillation circuit. By deducing from the Lagrange function with electric quantity q as a variable，the dual variable magnetic linkage is educed and the electric quantity q and the magnetic linkage are treated as the state parameters. Then the LC circuit problem is directed to a symplectic system. The dual equation can be solved by segregation variable method and it is converted into the symplecticeigen problem. The oscillation law of LC circuit is obtained through the Hamilton matrix H and the corresponding eigenvalue equation. Numerical examples demonstrate the effectiveness and validity of the method proposed in this paper. The LC circuit problem is introduced into the symplectic system， which provides a new analytical method for the LC circuit.
The quality factor Q of fractional order RL
α
-C
β
parallel resonance
WANG Ting-jiang
College Physics. 2017, 36(8): 21-24. doi:
10.16854 /j.cnki.1000-0712.2017.08.007
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1703
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599
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According to the theory of circuit，the admittance of the fractional order RL
α
-C
β
parallel circuit is obtained.Under the condition of α=β and CR
2
/L<<1，a simple expression for the resonant frequency of the circuit is obtained.On this basis，a simple expression of the quality factor of the parallel resonant circuit is deduced and discussed.It is shown that the theoretical result is in well agreement with numerical simulation of MATLAB software. Then the law of quality factor with the change of element parameters and fractional order is found.
Calculation of the induced charge on the conductor curved surface based on conformal mapping
JIA Lan-fang，WANG Fu-qian
College Physics. 2017, 36(8): 25-29. doi:
10.16854 /j.cnki.1000-0712.2017.08.008
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1203
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661
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On the basis of solving two-dimensional electrostatic field distribution by combining with the plane mirror method and conformal mapping，the induced charge distribution on the conductor curved surface is solved，the function of the surface charge density is got，and the curve of the function of the induced charge density are plotted by using mathematical software MATLAB.
A simple experimental method of 2D acoustic source localization
YIN Shen-xin，CUI Zhi-wen，LV Wei-guo
College Physics. 2017, 36(8): 30-35. doi:
10.16854 /j.cnki.1000-0712.2017.08.009
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1210
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479
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A new simple experimental scheme for two-dimensional planar location problem of acoustic emission technology is proposed.New triangle time difference algorithm is adopted to realize sound source localization and GPS simulation of two - dimensional plate by using simple experimental method at the same timewith only two ultrasonic sensors to complete the experiment.This new method simplifies the experimental equipment，reduces the cost，is suitable for popularization with simple calculation process，and also helps us to have an insight into the physical problem of the acoustic emission technology.
The phase difference analysis based on rotation vector in Bohr resonance experiment
JIANG Xiang-qian, LUO Su-hua, ZHAO Hai-fa
College Physics. 2017, 36(8): 36-37. doi:
10.16854 /j.cnki.1000-0712.2017.08.010
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2507
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We introduce two rotation vectors to describe the forced oscillations and driving force，respectively， and solve the problem that the principle of measurement for phase difference based on stroboscopic method is not clear. The analytical phase difference is obtained by using rotation vector method. We find that the phase difference always shows a difference between π/2 and the angle of the white line in organic glass turntable is pointing to.
The length study of bright spots in the electric deflection of electron beam
CHEN Jie，ZHU Zhan-wu，ZHANG Qin，LIU Guo-ying，ZHANG Xi-ping，WU Yun-pei
College Physics. 2017, 36(8): 38-40. doi:
10.16854 /j.cnki.1000-0712.2017.08.0011
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1180
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744
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In the electric deflection of electron beam，the causes of bright spots and the factors of spots length are studied theoretically. The total expression x，of electron flow deflection and the length Δ，of bright spots are obtained and simulated numerically. The results show that bright spots are caused by the conical electron beam introduced into deflection field ( the angle Δθ，of conical electron beam is very small) ，and the reason of Δ varying with the change of accelerating voltage U1 ，deflection voltage Ux is Δθ asymmetry distribution on the central axis of deflection field. Also，Δ depends on the value of Δθ.
Experimental study of measurement of Young's modulus with double gratings at different angles
WEI Qun-mei，MENG De-ying，HE Li-zhi
College Physics. 2017, 36(8): 41-45. doi:
10.16854 /j.cnki.1000-0712.2017.08.012
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1213
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Based on the principle of the displacement amplification of the moire，and under the circumstance of constant grating pitch when the angle is very small，between the gate lines is proportional inversely to the width of the moire，Young's modulus of the steel wire is measured. Then，through the analysis of the measured data and calculated results，we have reached a conclusion: the width of the moire decreases with the increase of the angle;the measurement deviation increases as the moire grating angle increases，but less than 5%. Finally，the experimental and theoretical values are compared to determine the feasibility of the methodology of moire fringe measuring Young s modulus
Study of propagation characteristics of WiFi electromagnetic wave energy in the brick wall
HU Yun
College Physics. 2017, 36(8): 46-48. doi:
10.16854 /j.cnki.1000-0712.2017.08.013
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1781
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957
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WiFi electromagnetic wave penetration wall capability influences directly the effect and quality of communication. Combining electromagnetic characteristics of brick wall，we analyze theoretically the propagation characteristics of WiFi electromagnetic wave in the brick wall， the relationship between derived WiFi electromagnetic wave through the wall thickness and average power flow density. Examples and images of rgy transfer are given. Results show that WiFi electromagnetic waves can penetrate brick wall. In the process of transmission，the signal energy is gradually attenuationbutless attenuation. Therefore，the brick wall has little impediment of WiFi communication connection.
Study of the plasma mechanism of discharge in fluorescent lamp via electric parameter
SUN Dian-ping，GUO Chao-xiu
College Physics. 2017, 36(8): 49-52. doi:
10.16854 /j.cnki.1000-0712.2017.08.014
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1105
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436
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Based on the data of voltage and current measured via digital oscilloscope，the channel model of one-dimensional wall steady arc accounted for the discharge mechanism of fluorescent lamp is studied. The load characteristics of discharge tube is discussed，which depends on the parameters used and harmonic analysis.
Gamma spectrometry of environmental radiation based on HPGe detector measuring system
XU Jin-yan，LOU Jian-lin，HUANG Guang-wei
College Physics. 2017, 36(8): 53-55. doi:
10.16854 /j.cnki.1000-0712.2017.08.015
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1334
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With the rapid development of nuclear power industry in China，the problem of environmental radiation attracts increa singly attention. This new research experiment named“Gamma spectrometry of environmental radiation based on HPGe detector measuring system”provides an effective way for students to acquire some knowledge about environmental radiation. In this experiment，a HPGe detector measuring systemis built up to detect the radiation from environment. Benefitting from the high energy resolution of this system，the result of gamma spectrometry of environment clearly demonstrates the radiation sources. In this experiment a series of parameters should be set up to ensure the system work in good condition. During the process the student will understand working principles of HPGe detector measuring system and acquire some skills of experiment operations. Also，a method of analyzing complicated gama-ray energy spectra is introduced in this experiment.
An explanation of“magnetic train”
CHEN Fang-ting，LE Yong-kang，YU Xi
College Physics. 2017, 36(8): 56-61. doi:
10.16854 /j.cnki.1000-0712.2017.08.016
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4356
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Based on the "magnetic train" phenomenon in inhomogeneous magnetic field and the Lorenz formula and the magnet force formula，we derive the balancing speed formula of car. The experimental result shows that the numerical parameters in the expression by MATLAB and COMSOL software combined with MATLAB for plotting v ( balanced car speed) ，and U0 ( battery voltage) ，v and the coil radius of R，v and n( the number of turns of the coil density) ，V and N( the number of magnet is added) diagrams，and those relationship are agreement with the experimental exploration.
Restoration of faulty images of periodic objects by Talbot effect
ZHANG Yi-hong，YAN Kun，YANG Xin-yi，PAN Yong-hua
College Physics. 2017, 36(8): 62-64. doi:
10.16854/j.cnki.1000-0712.2017.08.017
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1114
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951
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Based on the Huygens-Fresnel principle and Talbot effect，we explain self -restoration effect of faulty images of periodic objects mathematically. This effect is also discussed in experimental detail in this paper，which fits our theoretical simulation very well.
Comparing physical specialized course between the Mainland and Taiwan from the perspective of students———Physics major as an examplein Beijing Normal University and Taiwan Normal University
XIE Xiao-yu，LUO Ying
College Physics. 2017, 36(8): 65-69. doi:
10.16854 /j.cnki.1000-0712.2017.08.018
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1701
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853
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Training high level teachers is the foundation of national education career，which has long been an event，attention in the field of education. This essay compares physical normal in professional course set by Taiwan Normal University and Beijing Normal University，based on the student s point of view，depending on the learning experience. Comparison is mainly from course setting，course selection methods，courses learning and course evaluation four aspects. This essay also summarizes the characteristics of Taiwan normal education and discusses the reference for the development of normal education on the Mainland.
Study of one-dimensional finite string vibrating problem with one end fixed and the other doing forced vibration based on the D’alembert formula
HAN Ying-da
College Physics. 2017, 36(8): 70-75. doi:
10.16854 /j.cnki.1000-0712.2017.08.019
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1902
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1744
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Through some fit continuation，the one -dimensional finite string vibrating problem with one end fixed and the other end doing forced vibration of Asin ωt is solved by the D'alembert formula. Based on the result expressed in a concise way，some variables to describe wave propagation are obtained and the process of the string vibration is analyzed. Furthermore，the problem of fixing solution with the first or second type boundary condition on one end and inhomogeneous boundary condition on other end is solved by using traveling wave method.
Study of the velocity of ultrasonic sound and liquid properties with the ultrasonic grating
LUO Yi-chen，GAO Ye，WU Xiao-yuan，WANG Yin-shu
College Physics. 2017, 36(8): 76-81. doi:
10.16854 /j.cnki.1000-0712.2017.08.020
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1677
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Ultrasonic grating is design and built.Clear diffraction spots are obtained while a laser beam passes through. By measuring the distance between spots，the velocity of sound iscalculated and analyzed. Furthermore，the velocity of sound in pure water with different temperatures and Nacl solution with different concentrations are measured. Dependence of the sound velocity on the temperature and liquid concentration is established. T velocity of sound increases linearly with temperature and liquid concentration. The velocity increases 2.09m/s for 3.974MHz wave，and 2.04m/s for 16.574MHz wave when the temperature increases for 1℃. The velocity of sound increases 13.6m/s for 3.974MHz wave，and 11.8 m/s for 16.574MHz wave as the concentration of NaCl solution increases 1%. The difference in velocity of sound with different frequency is ascribed to inaccuracy of measurement.
College Physics. 2017, 36(8): 82.
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645
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267
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