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Table of Content
20 May 2015 Volume 34 Issue 5
著者文摘
Infinite integrals involving powers, rational functions and trigonometric functions——a lemma and its application
. 2015, 34(5): 1-1.
Abstract
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1138
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885
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An introduction to a recently established lemma is presented. The lemma enables us to evaluate integrals involving powers and exponentials on a large semicircle. Based on the lemma and the residue theorem, two general for- mulae are derived for infinite integrals are expressed in terms of residues and involving powers, rational functions and trigonometric functions, and the results Laurent coefficients of the rational function. Several examples are given.
Solving problem of the second Poschl-Teller potential in quantum mechanics by the SU（2） Lie algebra
. 2015, 34(5): 5-5.
Abstract
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869
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(449KB) (
522
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A quantum dynamical algebraic approach is proposed, which is associated with a pair of the raising and lowering opera- tors for solving the bound energy eigen-problem for one-dimensional quantum system with the second Poschl-Teller potential. In addi- tion, the SU（2） Lie algebra related to this quantum system can be built naturally based on the Hamilton operator as well as the raising and lowering operators. The eigen-values and eigen-functions of a physical system in the potential of this kind are also obtained by u- sing the present algebraic technique.
Numerical analysis on the motion of a particle on a free smooth flute
. 2015, 34(5): 11-11.
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653
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(352KB) (
430
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The motion equations of a particle-free smooth flute system are derived by using the Lagrange equa- tions in the conservative system. The equations are solved numerically to investigate the motion of the system. The numerical results show that the motion of the particle obviously depends on the initial conditions of the system.
On calculation of heat absorption and losing and its cycle efficiency in a linear process
. 2015, 34(5): 15-15.
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801
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(332KB) (
508
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The heat gaining and losing in a linear process of negative slope together with its linear-processed cycle efficiency are analyzed.
The potential of a uniformly charged circular plane in two-dimensional space
. 2015, 34(5): 19-19.
Abstract
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953
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1006
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Based on different ideas for solving the problems of electrostatic field , three methods are used to calculate the potential of a uniformly charged circular plane in two-dimensional space,and the characteristic of two -dimensional electric potential is discussed.
Computation of capacitance for with edge non-parallel plate capacitor effects
. 2015, 34(5): 22-22.
Abstract
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1051
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1267
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Considering the edge effect, the internal electric field area and the external electric field area of non -parallel plate capacitor are transformed to complex plane of the upper and lower half plane with conformal map- ping. Then we transform them to the upper and lower half plane of the rectangular area of the complex plane. So that it can be used ideal plate capacitor of capacitance calculation formula to calculate the original plate capacitor of ca- pacitance.
Effects of elliptic flattening on magnetic field distribution in central axis line generated by an elliptic electric current
. 2015, 34(5): 25-25.
Abstract
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776
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499
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Using the superposition principle of the magnetic field and the theoretical method of elliptic integrals as well as symmetry of the ellipse, we obtain the distribution of magnetic field in the central axis line generated by an elliptic electric current. We discuss systematically and intensively the effects of the elliptic flattening on the mag- netic field distribution in central axis line. The important properties which the elliptic flattening makes the distribu- tion of magnetic field intensity in the central axis show a maximum structure are revealed.
Numerical simulation of electromagnetic wave propagation in left handed materials
. 2015, 34(5): 30-30.
Abstract
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787
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620
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The propagation characteristics of plane electromagnetic wave in left handed materials （LHM）are simulated using MATLAB. The numerical results indicate that the intensity of electric field decrease with the in- crease of propagation distance,and the energy attenuates. In the teaching of college physics and electromagnetics, the visualizing abstract concepts of electromagnetic fields can not only help students to understand the application in various fields,but also inspire students interesting and improve the teaching result.
The electric field inside the condenser of half cylinder shell and its capacity
. 2015, 34(5): 34-34.
Abstract
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1261
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(241KB) (
455
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The distributions of electric potential and shell are calculated by using the conformal mapping on that the equation of equipotential lines and electric lines plotted by using the software MATLAB. Further,its capa electric field intensity inside the condenser of half cylinder the coordinate system of complex number. It is concluded of force as well as electric field and equipotential lines are city is calculated.
Nuclear reaction being completely inelastic collision when incident particle having threshold energy
. 2015, 34(5): 37-37.
Abstract
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901
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572
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An approach for calculating the threshold energy for incident particles is introduced. By discussing the structure of calculation formula, we prove that the nuclear reaction must be completely inelastic collision on same straight line when the kinetic energy of incident particle is equal to threshold energy.
Experimental research of double frequency resonance phenomenon subjected to vertical excitation
. 2015, 34(5): 39-39.
Abstract
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848
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496
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An experimental study of an excited parametric vibration is reported,the resonance condition is that external frequency is twice as large as inherent frequency, and the direction of driving force is vertical to movement direction. The amplitude-frequency characteristic of the resonance and the critical state are discussed. When both intensity of vertical excitation and frequency width number are small, the law of vibration is sensitive to frequency width number . While frequency width number is reduced, amplitude number will oscillate with time. That is ＂beat＂ phenomenon. Both period number and peak-valley difference number increase with the decrease of frequency width number. After ＂beat＂ disappears, the amplitude number continues increasing exponentially with time number. When frequency width number equals to zero, the amplitude number increases sharply with the period number, the vibra- tion is unstable and then resonance occurs. Based on the pendulum model ,the numerical solutions of dynamic equa- tion are in well agreement with the experimental results. The experimental study for solving problems such as pre- vention of natural disasters associated with resonance has potential applications.
Improvement of thermocouple calibration experiment instrument
. 2015, 34(5): 44-44.
Abstract
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816
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619
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The single-chip microcomputer as the core is introduced,the reconstruction design of DS18B20 di ital temperature sensor thermocouple is used to calibration experiment instrument. The design reforms the tradition mode of temperature control. The single- chip microcomputer and relay simulation of pulse width modulatic （PWM） is used to realize the intelligent temperature control, improving the precision of temperature control an reach thermal equilibrium speed.
The system for measuring laser Gaussian beam parameters used in the experiment and teaching
. 2015, 34(5): 48-48.
Abstract
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705
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(933KB) (
525
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A set of laser Gaussian beam judgment and parameter measurement system are formed. Muhipoint measurements are done in near and far fields. The hyperbolic fitting method is used in our experiment. Then we get the beam waist and its position, the Rayleigh size, the angle of divergence and the quality factor.
Application of sequence segmentation algorithm in determining Planck constant
. 2015, 34(5): 52-52.
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660
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566
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The limitations of traditional data-processing method in the photoelectric effect test Planck constant are analyzed. The sequence segmentation algorithm is applied to determine the Planck constant and process the experimental data, the results show that method has accuracy higher than traditional methods.
British physicist Blackett and China
. 2015, 34(5): 57-57.
Abstract
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954
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785
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We describe Blackett＇ s life and review him as a mentor for two Chinese physicists Hu Qianshan and Zhu Hongyuan , at the same time restores Blackett visited to China as the representative of The Royal Society. We also reflects the communication between British physicists and Chinese physicists in the first half of the 20th century.
Review of 2014 American MCM/ICM campaign
. 2015, 34(5): 62-62.
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775
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534
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By taking our experience of participation in the interdisciplinary contest in modeling （ICM） 2014 as an example, we introduce the contest and show the benefits of participation in it for a student in department of phys- ics. We describe the problem of ICM 2014 and the method to solve it in detail. In this way,we prove the advantage of thinking in a physics way in mathematical modeling.
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