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Table of Content

    20 August 2020 Volume 39 Issue 8
      
    The ground state of the harmonic oscillator in a harmonic vibrating reference frame and the coherent state in an inertial reference frame
    LI Ti-jun, LIU Chun-bao
    College Physics. 2020, 39(8):  1-2.  doi:10.16854 /j.cnki.1000-0712.180602
    Abstract ( 1502 )   PDF (120KB) ( 697 )  
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    The quantum states of a harmonic oscillator behave differently in different reference frames. The ground state of the harmonic oscillator in a harmonic vibrating reference frame is the coherent state of the harmonic oscillator in an inertial reference frame.
    Comparing analytic solution of the magnetic field of ring current with its numerical integration and their visualization
    ZHOU Qun-yi, MO Yun-fei, HOU Zhao-yang, ZHOU Li-li
    College Physics. 2020, 39(8):  3-6.  doi:10.16854 /j.cnki.1000-0712.190560
    Abstract ( 1327 )   PDF (990KB) ( 377 )  
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    The integral formulas of magnetic field of ring current are derived in the dimensionless forms. The

    magnetic field is calculated by the numerical integration,and its spatial distribution is visualized by means of MATLAB.

    The analytic solutions of the magnetic field of ring current are also derived,and its validity is verified according to their graph.

    Some experiences on the teaching of standing waves in college physics
    QIN Ji-hong, QIU Hong-mei, LIANG Ying
    College Physics. 2020, 39(8):  7-10.  doi:10.16854 /j.cnki.1000-0712.190482
    Abstract ( 1931 )   PDF (860KB) ( 992 )  
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    Standing wave has always been one of the key and difficult topics in the teaching of college physics.

    Through detailed derivation,three meanings to understand the " standing" in standing waves are given: one is the

    directional propagation without waveform,the second is no phase propagation,and the third is the directional propagation

    without energy. At the same time,some specific cases are summarized in the process of teaching standing

    waves. Through reasoning and case teaching,it is easier for students to understand the theory and physical image of

    standing waves,and students' interest and ability in using classroom knowledge to solve practical problems are also

    enhanced.

    Discussion on the collision times between blocks
    CHENG Jun, SUN Hui
    College Physics. 2020, 39(8):  11-13.  doi:10.16854 /j.cnki.1000-0712.190538
    Abstract ( 1636 )   PDF (263KB) ( 536 )  
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    Based on the conservation law of momentum and the conservation law of mechanical energy,the problem about the collision times between blocks is discussed in depth. Particularly,when the ratio of the mass between two blocks is nonnegative integer power of 100,collision times are just the same as the first few digits of circular constant. The velocity phase diagram is used to describe the collision process intuitively,and then the above

    interesting result is explained by combining theoretical derivation.

    A brief analysis of mathematical and mechanical reasoning method for curvature radius of polar coordinate curves
    SHAO Yun, DOU Jin
    College Physics. 2020, 39(8):  14-17.  doi:10.16854 /j.cnki.1000-0712.190462
    Abstract ( 5198 )   PDF (264KB) ( 1290 )  
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    In this paper,the general calculation formula of curvature radius of two-dimensional curve in polar

    coordinate system is derived respectively by using the rectangular coordinate calculation formula and mechanical

    vector calculation formula of curvature radius of two-dimensional curve. Then the formula is used to get the uniform

    expression of the curvature radius of the conic in the usual polar coordinate system,according which the expressions

    of the curvature radius of each conic in the usual rectangular coordinate system are derived. This paper also uses the

    relevant dynamic conclusions of planetary orbit motion to directly deduce the unified expression of curvature radius

    of conic curve in the usual polar coordinate system,and points out the equivalence of mathematical and mechanical

    reasoning methods,as well as the reason why the latter is often more simple.

    On the direction of hydrogen atom wave function in momentum representation
    LEI Yong
    College Physics. 2020, 39(8):  18-20.  doi:10.16854/j.cnki.1000-0712.190527
    Abstract ( 1717 )   PDF (182KB) ( 1691 )  
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    In this paper,an example of calculating the probability amplitude in momentum representation and

    the probability distribution of the electron momentum in hydrogen atom in quantum mechanics course by Mr. Zhou

    shixun is discussed. The method of calibration of momentum direction in the solution is questioned. For calculating

    probability amplitude of momentum,the method is not universal since the representation depends on the selection of

    momentum direction. Only for the s-states which have spherical symmetry and are independent of momentum direction

    since the spherical harmonic function in probability amplitude is independent of momentum direction,this

    method has no effect on the representation. Furthermore,for calculating the probability distribution of the electron

    momentum,the calculation requires integrating the angular quantity of momentum,it is not appropriate to calibrate

    the momentum direction before the calculation.

    Undersampling computational ghost imaging with Hadamard basis
    SONG Xin-bing
    College Physics. 2020, 39(8):  21-24.  doi:10.16854 /j.cnki.1000-0712.190592
    Abstract ( 1591 )   PDF (693KB) ( 806 )  
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    Computational ghost imaging is a hot topic in the field of optical imaging due to its characteristics of

    single pixel and low imaging cost. Distinguished from conventionally computational ghost imaging,in this paper,a

    computational ghost imaging based on Hadamard matrix under the condition of under-sampling is investigated. The

    theory and experimental setup are presented,and then the imaging results for four under sampling cases are analyzed.

    The experimental results show that,under different sampling conditions,imaging duplication and edge distortion

    emerge,however,what’s intriguing is that positive and negative images could be found. These phenomena arise

    from the regular modulated distribution of Hadamard masks. The results achieved herein are not only helpful in

    deepening the understanding of computational ghost imaging,but also are valuable for the analysis of the imaging

    edge distortion in the long-distance imaging.

    Reflection characteristics of multilayer dielectric film based on transfer matrix method
    MA Hai-xia, WU Yan-jun, WANG Ji-ming, LU Yuan-gang, YANG Yan-nan
    College Physics. 2020, 39(8):  25-30.  doi:10.16854 /j.cnki.1000-0712.190500
    Abstract ( 3313 )   PDF (1171KB) ( 1772 )  
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    Thin film interference is an important content in the teaching of wave optics in University Physics,

    and it is also the theoretical basis of thin film optics. One of the most important applications of thin film interference

    is to design antireflection and high reflection coatings. Reflectance of multilayer dielectric film is quantitatively calculated

    based on transfer matrix method in the manuscript. The reflectance of the one BK7 glass surface without

    coatings is about 4% over the visible spectrum; Low reflectance can be obtained by destructive interference of the

    thin film. The reflectance of single antireflection coating on glass decreases to 1.3% at the designed wavelength,

    550nm. However,performance of such quarter-wave coatings falls off when deviating from the designed wavelength.

    The reflectance of double antireflection coatings on glass maintains low reflectance,less than 1.3%,over the 470~

    670 nm wavelength range. On the contrary,high reflectance can be obtained by constructive interference of the thin

    film. The reflectance of fused quartz can be increased from 3.3% for the bare surface to 30% for the single layer

    high reflection coating at the designed wavelength,1500nm. The reflectance of the seven groups of films can reach

    more than 99% over the 1360 ~ 1660 nm wavelength range. Through these quantitative calculations,students can

    have a deeper understanding of the application of theoretical knowledge in practice,cultivate their engineering

    awareness and enhance their interest in learning.

    Automatic measurement system of optical wavelength based on Michelson interferometer
    DANG Chen, LI Wu-jun, WANG Dang-she
    College Physics. 2020, 39(8):  31-34.  doi:10.16854 /j.cnki.1000-0712.190477
    Abstract ( 1104 )   PDF (1007KB) ( 416 )  
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    In this paper,based on Michelson interferometer,a set of automatic measurement system of lightwave

    wavelength is designed,which includes a set of magnetic drive device,light intensity automatic detection

    module,and the system has the function of finding peak automatically,so the real-time processing and display of

    data are realized. The magnetic suction transmission solves the problem of the difference between the axes of the motor

    rotating shaft and the interferometer handwheel,reduces the motor jitter,uses the single chip microcomputer to

    drive the stepping motor to rotate the handwheel of the interferometer,records the waveform of the interference light

    intensity change in real time,reduces the interference caused by the instrument jitter through the algorithm,

    realizes the automatic measurement of lightwave wavelength,reduces the experimental error,and uses the display

    screen to display the experimental data in real time. The step angle of the stepper motor is used to record the displacement

    value of the mirror,and the data results are calculated automatically,which makes the experiment more

    intuitive and simple.

    Calculating the pressure in the earth’s interior by using Gauss theorem of gravitational field
    LIAO Si-han, YANG Xing, LU Tong-suo , HU Jing
    College Physics. 2020, 39(8):  35-38.  doi:10.16854/j.cnki.1000-0712.190528
    Abstract ( 2000 )   PDF (486KB) ( 885 )  
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    In this paper,the concept of Gauss theorem of gravitation field is established based on the similarity

    between electrostatic field and gravitation field. We have got the equation of Gauss theorem of gravitation field by analogy,

    and of which the earth is approximately regarded as a celestial body with spherical symmetry of mass distribution.

    According to the density distribution model of the earth,we fit and calculate the pressure in the earth’s interior

    by means of the MATHEMATICA software. It provides a new thinking and way to study the pressure in the

    Earth’s interior. Finally,we analyze and discussed the error sources in approximate calculations.

    Discussion and practice of blended teaching mode of college physics experiment
    LI Shuo, HE Yue, WANG Zhi-jun, ZHANG Jin-bao, SUN Chao, NI Mu-cui
    College Physics. 2020, 39(8):  39-42.  doi:10.16854/j.cnki.1000-0712.190577
    Abstract ( 1394 )   PDF (441KB) ( 632 )  
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    The analysis of the experimental teaching of university physics shows that the blended teaching has

    some advantages in training students’learning ability,practical ability and innovation ability besides reducing

    teachers’working pressure. By analyzing the student scores obtained under the traditional teaching and blended

    teaching modes in the public physics teaching center of Jilin University,the result of the blended teaching mode is

    obviously higher than that of the traditional teaching mode,which indicates that the blended teaching mode is beneficial

    to both teachers’teaching and students’learning.

    Construction of enabling“Golden Course”with integration of theory and practice
    LU Rong-de
    College Physics. 2020, 39(8):  43-47.  doi:10.16854 /j.cnki.1000-0712.190492
    Abstract ( 1168 )   PDF (684KB) ( 495 )  
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    This paper is focused on the four aspects of problems in teaching content,teaching mode,

    classroom orientation and teaching evaluation,and it is proposed that university physics should embody the charac-

    teristics of“Golden Course”such as the content setting oriented by core literacy,creation of primitive physics problems,

    demonstration of creative design and production and diversified feedback evaluation. Emphasis is laid on the

    improvement of content reconstruction,returning to reality,critical thinking and process digitization. University

    physics has a strong theoretical and practical feature and a large space to expand the depth and breadth so that the

    construction of enabling“Golden Course”is imminent. To conscientiously improve the teaching quality of university

    physics,some constructive strategy of enabling“Golden Course”are proposed by improvements of seamless branching

    conversion,boosting self-management ability,enhancing higher-order thinking,creating three-action classroom,

    building a smart classroom so as to promote the exploratory and autonomy of university students,and to firm

    solid foundation of follow-up study.

    Research and practice on physical oceanography integrating in college physics teaching
    YAO Lu-feng, YANG Hai-bing, CHENG Cong
    College Physics. 2020, 39(8):  48-50.  doi:10.16854 /j.cnki.1000-0712.190453
    Abstract ( 1238 )   PDF (423KB) ( 402 )  
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    It is worth exploring the reform of college physics teaching with the teaching idea of interdisciplinary

    integration. In this paper,the organic integration of physical oceanography such as seawater movement,pressure

    gradient,velocity gradient,shear stress,tide-generating force,seawater conductivity into college physics teaching

    is introduced. This reform can stimulate students’learning interest,broaden their ocean vision and cultivate their

    innovative ability.

    Analysis of the rotation modes of the symmetric top around fixed point in gravitational field
    LIU Xian-yu
    College Physics. 2020, 39(8):  51-57.  doi:10.16854 /j.cnki.1000-0712.190525
    Abstract ( 1345 )   PDF (972KB) ( 568 )  
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    In this paper,the rotation modes of the symmetric top with different initial conditions are discussed

    based on the Lagrange mechanics,results of which are utilised for analysis of several classic problems concerning

    the movement of the symmetric top. The paper also provides a mathematical opinion on the rotation stability of vertical

    symmetric top.

    Measurement of the Young’s modulus based on angle-changed double grating
    WANG Wen-shuo, TIAN Xing-yu, YAN Qi-qi, DONG Guo-bo, XIONG Chang, HU Hao-zhe
    College Physics. 2020, 39(8):  58-63.  doi:10.16854 /j.cnki.1000-0712.190539
    Abstract ( 990 )   PDF (1368KB) ( 619 )  
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    A method of measuring Young’s modulus of metal wire by changing the double gratings’angle is presented. Based on the high sensitivity of Moiré pattern about the changing angle,the movable grating is placed on a lever platform so that the weeny linear displacement can be turned into the width variation of the Moiré pattern caused by the angular displacement between the two gratings. Correspondingly Young’s modulus of metal wire can be calculated.  The experimental results have shown that this method is simple,accurate and in line with expectations.
    On description of a free particle in μ-space
    BAN Shi-hao, ZHANG Zi-yi, WANG Xin, LIU Quan-hui
    College Physics. 2020, 39(8):  64-67.  doi:10.16854 /j.cnki.1000-0712.190515
    Abstract ( 2290 )   PDF (316KB) ( 358 )  
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    In μ space,classical mechanics and quantum mechanics provide,respectivley,two seemingly different

    and actually equivalent descriptions for one-dimensional free particles. There are some errorous presentations in

    some classic textbooks,and completed results are elucidated.In this paper,the trajectories of μ space are plotted

    with analyzing the motion of free particles in a one-dimensional box and in full space in classical mechanics,respectivley.

    Then,with examining particle motion in quantum mechanics under the condition of periodic boundary in full space and in an infinite depth well respectivley,we show that the same area element is occupied by each quantum state in μ space,irrespective of the different methods taken.Two related problems,the existence of the quantum state of zero-momnentum and relationship between the Heisenberg uncertainty principle and the area element for a quantum state to accommodate,are re-visited.

    Measurement of the surface roughness of objects based on MATLAB and polarization photography technology
    WU Qiang, BAI Rui-jie, GAO Hong, WANG Mei
    College Physics. 2020, 39(8):  68-72.  doi:10.16854 /j.cnki.1000-0712.190393
    Abstract ( 1129 )   PDF (1290KB) ( 570 )  
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    In this paper,the principle that the light intensity would change after the light passed through the

    polarizer is combined with the polarization photography technology and Matlab processing to separate the specular

    reflection and the diffuse reflection of the obtained photograph. With the surface roughness increasing,the ratio of

    the reduction of the specular reflection and the diffuse reflection is reduced. This result can be used to detect of the

    surface roughness of the object.

    Commonly using mathematical tools in the course of quantum mechanics
    ZHU Han-rui, ZHANG Ying-yue, TAO Hui-jin,
    College Physics. 2020, 39(8):  73-77.  doi:10.16854 /j.cnki.1000-0712.190427
    Abstract ( 1560 )   PDF (264KB) ( 462 )  
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    Mathematics is an important tool for learning quantum mechanics. This paper mainly introduces the

    mathematical tools that engineering students often use in the process of learning quantum mechanics,and provides

    convenience for them to consult. Since this course is a basic course,this paper is mainly for the convenience of engineering

    students to consult and learn quantum mechanics easier. Therefore,this article has not carried on the detailed

    introduction to the mathematical knowledge involved in the book.