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Table of Content
20 December 2017 Volume 36 Issue 12
Introduction to dimensional analysis
LIANG Can-bin, CAO zhou-jian, CHEN zhi-tao
College Physics. 2017, 36(12): 1-5. doi:
10.16854/j.cnki.1000-0712.2017.12.001
Abstract
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2049
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A novel and systematic dimensional analysis is presented. A few new concepts such as “quantity class”and “class of unit systems”are coined, and a clear cut definition of “dimension”is provided. A self-contented proof of the theorem is presented based on these new concepts, and two examples illustrating the great power of the theorem are also given.
Direction of the electric field intensity of light in anisotropic crystal
ZHANG Zhi-xiang
College Physics. 2017, 36(12): 6-9. doi:
10.16854/j.cnki.1000-0712.2017.12.002
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1459
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860
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The lights in anisotropic crystal are linearly polarized lights，the directions of the electric field intensities of these lights are analyzed;and the physical means of the principal velocities are explained.
Investigations on the phonon scattering to the carrier transport
LU Ying-bo
College Physics. 2017, 36(12): 10-14. doi:
10.16854/j.cnki.1000-0712.2017.12.003
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1713
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1696
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The interaction induced by lattice vibration to the carriers transport in solid materials is analyzed，the long acoustic wave scattering interaction is focused.Using the Boltzmann transport theory to describe the carrier transport，this paper gives the elaborate analyses and calculation formula of carriers mobility originating from the deformation potential scattering and the piezoelectric scattering interactions.
A simple and neat approach to derive the recurrence relations and mathematical integral formulas of two-variable Hermite polynomial
LI Heng-mei1，WAN Zhi-long1，WANG Zhen1，HUANG Hong-yun1，YUAN Hong-chun2
College Physics. 2017, 36(12): 15-17. doi:
10.16854/j.cnki.1000-0712.2017.12.004
Abstract
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2110
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1300
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Based on the properties of normal(anti-normal)ordering product of quantum operators and Baker-Hausdorff operator equation，using the Gauss integral form of coherent state representation completeness，we derive some operator identities，recursive relations and integral formulas related to two-variable Hermite polynomial.Compared with other methods，this method is easier and neater in theory and application.
An approach to solve the electric potential distribution of charged conductor ellipsoid
YU Feng-jun
College Physics. 2017, 36(12): 18-21. doi:
10.16854/j.cnki.1000-0712.2017.12.005
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1554
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992
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Based on the characteristics of ellipsoidal surface equation，a trial solution of the electric potential is designed in the rectangular coordinates.According to the uniqueness theorem of electric field，the equation of the trial solution is found and then the potential distribution of charged conductor ellipsoid is obtained by solving this equation.
On the phase-frequency characteristic of fractional order RLα-Cβ parallel
WANG Ting-jiang
College Physics. 2017, 36(12): 22-25. doi:
10.16854/j.cnki.1000-0712.2017.12.006
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1144
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910
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According to the theory of circuit，the admittance of the fractional order RLα-Cβ parallel circuit is obtained in the condition α=β and CR2/L<<1，a simple expression of the phase-frequency characteristic of the parallel resonant circuit is deduced，and the analysis and discussion are carried out.The theoretical analysis is in agreement with simulation result，and thus the law of phase-frequency characteristic with the change of element parameters and fractional order is found.
Exact solutions for(2+1)-dimensional dispersive long wave equation
YANG Juan1，YU You-sheng2
College Physics. 2017, 36(12): 26-27. doi:
10.16854/j.cnki.1000-0712.2017.12.007
Abstract
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1029
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452
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With the help of the symbolic computation system Mathematica，the new exact solutions of the(2+1)-dimensional dispersive long wave equation are derived in terms of both extended F/G-expansion method and variable separation method.By choosing the appropriate function，the bright and dark dromion solution and the periodic solitary wave solution of the(2+1)-dimensional dissipative long wave equation are obtained.
Airy wave packet and the auto acceleration effect
KONG Hong-Yan
College Physics. 2017, 36(12): 28-33. doi:
10.16854/j.cnki.1000-0712.2017.12.008
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2120
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1082
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Combined with the Airy function and its basis properties, this article studies the microscopic motion of a wave packet of a particle in a linear potential field. The Schr?dinger equation for the linear potential and the V potential are solved to give the wave functions and the energy level structure of the particle. Then, in a free space, the free motion of Airy package is investigated in detail. The calculation reveals that a free Airy wave packet shows a self-acceleration in the free space. Finally, some experiments to show the strange evolution of Airy wave packet are demonstrated.
The experimental analysis for measuring linear expansion coefficient of metal by the dial indicator
XIE Ning，LI Hua-zhen，ZHANG Ji
College Physics. 2017, 36(12): 34-36. doi:
10.16854/j.cnki.1000-0712.2017.12.009
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3549
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2807
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An efficient scheme is demonstrated to improve the experimental accuracy of metal linear expansion coefficient with the FD-LEA-B instrument.In this scheme，the dial gauge method is used to measure the elongation of Copper sample changing with the temperature from 20℃to 50℃.In addition， the application of Origin software is used to analyze the measurement results at different heating processes.The result shows that measuring the elongation of Copper sample with the interval of 2℃in the process of persistent overheating is the most desirable way for the FD-LEA-B instrument.Adopted the least square method to fit the measurement results linearly，the Copper sample's linear expansion coefficient is 16.0×10-6℃-1.
Uncertainty of Millikan's oil drop experiment
ZENG Xiao-qi，SHAO Ming-zhen，CHEN Ji，YANG Jun
College Physics. 2017, 36(12): 37-40. doi:
10.16854/j.cnki.1000-0712.2017.12.010
Abstract
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7871
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In the Millikan's oil drop experiment，the more electric charge the oil drop carries，the larger measurement uncertainty is.According to the calculation of uncertainty，we analyze quantitatively how to balance the measurement uncertainty and the droplet charge.Our results will be helpful for choosing oil droplets and controlling the experimental uncertainty.
Research on the elderly phenomenon of Nobel prize in science in the 21st century and its enlightenment to education
SONG Ya-jie，HU Yu-chen，LU Jian-long
College Physics. 2017, 36(12): 41-46. doi:
10.16854/j.cnki.1000-0712.2017.12.011
Abstract
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1158
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722
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The Nobel prize winners in the 21st century have shown an elder phenomenon，and the statistical analysis found that the winning age of the Nobel prize winners was on the rise.The statistical analysis of the age of the main academic achievement of the Nobel prize winners in the 20th century and the 21st century shows that the age at which the outstanding scientist achieved the main academic achievement did not change.It is the direct cause of the phenomenon of the Nobel prize in science in the 21st century. Feel and learn from the Nobel prize evaluation mechanism to highlight the lofty spirit and philosophy，with a view to the basic education teaching work in the young science，educators have some inspirations.
Two ways to rekindle the waste fluorescent lamps
LI Ling-jie，XIE Liang
College Physics. 2017, 36(12): 47-53. doi:
10.16854/j.cnki.1000-0712.2017.12.012
Abstract
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1234
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588
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The emitting mechanism of the fluorescent lamp is studied and two kinds of high-pressure cold-start circuits are designed to rekindle the waste fluorescent lamps，which breaks the traditional electronic ballast hot start mode.The main features of the restart mode are instant starting，no flash，on influence of frequent switching on the lamp life.
Study on the learning evaluation system of MOOC
GAO Jian1，ZHAO Xui-rui 2，ZHOU Yu-qing3，HUANG Xia4
College Physics. 2017, 36(12): 50-53. doi:
10.16854/j.cnki.1000-0712.2017.12.013
Abstract
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1474
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(213KB) (
1201
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MOOC，which is as a new type of online learning in the field of Open Education in recent years.As the influence of MOOC grows，researchers focus on not only the curriculum construction of MOOC，but also the construction of its learning evaluation system.In this paper，we participate in the course-learning process of five different MOOC platforms，and compare the evaluation system of these five platforms from five perspectives，they are subject of evaluation，evaluation basis，assessment methods， results of assessment and authentication of results.Characteristics and innovations of MOOC’s learning evaluation system are summarized，and reflection of its shortcoming is made.
Tricycle of star and elliptical type
JIANG Wen1，QIU Wei-gang1，2
College Physics. 2017, 36(12): 54-56. doi:
10.16854/j.cnki.1000-0712.2017.12.014
Abstract
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1179
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534
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The rolling motion of wheel is decomposed into placement of center of mass(COM)and rotation around the COM axis.The parametric equation of wheel and road is deduced from the conditions that velocity of contact point is equal to zero and the height of COM is constant.An example of tricycle of elliptical wheel and see-saw road is given.The animation of rolling and model are also given.
Design and verification of a contactless micrometer
LI Meng-zhao，XIE Jie，CHANG Xiang-hui，LIU Qi-jun，FAN Dai-he
College Physics. 2017, 36(12): 57-61. doi:
10.16854/j.cnki.1000-0712.2017.12.015
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1524
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617
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By using the spectrometer，linear CCD and other commonly used laboratory devices，a method is designedthat the thickness and refractive index of the glass can be measured simultaneously and contactless. The method is verified by the uncertainty analysis that，it has the property of high accuracy that can equal to micrometer.Furthermore，the thickness and the refractive index of a real glass have been measured. The results have shown the feasibility of the method.
Measuring the refractive index and the dispersion rate of liquid with vertical prism angle
LIU Hai-shan，LI Ming-shi，CHEN Jia-ming，ZHENG Qin-jia，HUANG Jiang
College Physics. 2017, 36(12): 62-65. doi:
10.16854/j.cnki.1000-0712.2017.12.016
Abstract
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1299
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1027
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This paper presents a simple method to measure the refractive index of liquid by laser.According to the vertical prism angle of the square container，when the total reflection crosses，the incident critical angle can be measured，that the liquid refractive index can be calculated.Then，combining with the Cauchy's empirical formula，the dispersion rate of the liquid can be calculated by using the relationship between the refractive index and the critical angle.
Illumination enhancement on field effect in LaMnO
3
/SrTiO
3
surface
SHAN Shi-xuan，ZHAO Yi-jia，QIU Jing-zhe，JIA Jin-shan，XIAO Yu-tong，DAO Liu-yun，
College Physics. 2017, 36(12): 66-69. doi:
10.16854/j.cnki.1000-0712.2017.12.017
Abstract
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1303
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(612KB) (
409
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The applied light and electric field can adjust the resistance of lanthanide manganese oxide thin films under certain conditions.We study resistance and lattice structure properties of LaMnO
3
(LMO) film，which is grown on a SrTiO
3
(STO)substrate and performed diverse properties for different conditions. The film's resistance does not change significantly with the applied voltage when it is not illuminated by a laser beam.However，when the film is illuminated by a laser，the resistance varies when the applied gate voltage changes.We use X-ray diffraction (XRD)method to observe STO substrate's lattice structure change.We have found that when the electric field is strong enough，light increased oxygen vacancies'mobility and enhanced the interface polarization which expands the lattice of STO.
The Counterpart of A-C effect induced by a motion of electric dipole
WANG Kang1，LI Wei 2
College Physics. 2017, 36(12): 70-72. doi:
10.16854/j.cnki.1000-0712.2017.12.018
Abstract
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1289
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(251KB) (
645
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The issue of phases in quantum mechanics plays a vital role in condensed matter physics in recent years，such as Aharonov-Bohm effect and Aharonov-Caser effect，as well as Berry phase.Here，we propose the counterpart of Aharonov-Caser effect can be realized in a system with a motion of electric dipole based on the electric-magnetic duality. In addition，we also propose the emergence of quantum phases stems from generalized velocity dependent potential.Thus，our findings should provide an avenue to design the models to realize the exotic quantum phases in future.
Just Accepted
