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Table of Content
20 April 2013 Volume 32 Issue 4
著者文摘
Some infinite integrals involving essential singularities of the integrand
. 2013, 32(4): 1-1.
Abstract
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1229
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(434KB) (
587
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Several types of infinite integrals involving essential singularities of the integrand in the interval of integration are studied. The integrands are products of a general rational function, a trigonometric function of x and one of 1/x. General formulae are derived by using the approach of contour integration and the results are expressed in terms of residues. Several examples are given.
Rotation of the oscillation plane of Foucault pendulum and periodicity of trajectory
. 2013, 32(4): 5-5.
Abstract
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1810
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(536KB) (
909
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The relative motion equation of Foucault pendulum is solved by using the conservation law and its exact solution is a hypotrochoid in the polar coordinate. Both curvature radius and periodic formation of trajectory are determined by means of the geometric property of hypotrochoid. It is proved that the rotation speed of vector of velocity is always equal to -ωsin λ.
Some infinite integrals involving essential singularities of the integrand
. 2013, 32(4): 8-8.
Abstract
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948
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PDF
(327KB) (
615
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Several types of infinite integrals involving essential singularities of the integrand in the interval of integration are studied. The integrands are products of a general rational function, a trigonometric function of x and one of 1/x. General formulae are derived by using the approach of contour integration and the results are expressed in terms of residues. Several examples are given.
Study of the initial value in the linear dynamic circuit
. 2013, 32(4): 12-12.
Abstract
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813
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(344KB) (
534
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Initial value is an important factor denoting physical behavior of stored-energy element. Thus the determination of the initial value is also very important for analyzing the dynamic circuit. After introducing the sig- nificance of the research for initial value, this paper describes the initial value of RL normal or morbid circuit by bounded source stimulus amply and thoroughly through analyzing inductor initial current and impulse voltage of five typical RL normal and morbid circuits. Moreover, the significant conclusion is drawn that inductor voltage must be impulse voltage. The solution of inductor initial current for four RL morbid circuits can be gained, namely, suppo- sing voltage is impulse voltage, then it solutes the initial value according to the conservation law of magnetic linkage or the KVL equations of the inductor subnet. It enhances the cognition for RL morbid circuit initial value and tran- sient response in theory, and solves the difficulty of gaining the initial value in RL morbid circuit.
An equivalent resistance formula of 2×n cobweb model and two conjectures
. 2013, 32(4): 16-16.
Abstract
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905
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(579KB) (
975
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A classic problem in electric circuit theory studied by numerous authors over 150 years is the computation of the resistance between two nodes in a resistor network, but some basic problems in polygon resistance network are still not solved. In this paper we intend to promote the polygonal network structure to cobweb structure, and study the equivalent resistance formula of 2×n cobweb model. We obtain a universal formula of the equivalent resistance by using the methods of network analysis and matrix transformation. It is found that the equivalent resist- ance value decreases along the growing of the order n, and the value is limitary. Putting forward a conjecture on the equivalent resistance formula, a conjecture on the equivalent capacitance formula of any m×n cobweb model accord- ing to the structure character of equivalent resistance formula is obtained. This offers a thought direction which to study the intricate cobweb network.
Analysis and discussion of quantum state superposition principle and its measurement
. 2013, 32(4): 22-22.
Abstract
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1429
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740
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In the course of quantum mechanics, the state superposition principle plays a key role of the overall situation. Also, it is a difficult content in the teaching process. We introduce the teaching experience about quan- tum state superposition principle in this paper. After lecturing the principle of quantum state superposition with a typical problems solving process, we explain how to correctly compute mechanics operators in quantum superposi- tion state and discuss the relationship of observation and measurement value. It is helpful to understand the wave function collapse, correct understanding of the quantum state not cloning theorem and the empty preach content the- ory.
A briefly form of radial matrix eiement〈n＇r l＇m＇｜r^p ｜nr Im〉 in three-dimensional harmonic oscillator energy representation
. 2013, 32(4): 25-25.
Abstract
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771
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(229KB) (
545
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The radial matrix element〈n＇r l＇m＇｜r^p ｜nr Im〉 is derived in a brief form in the three-dimensional har- monic oscillator energy representation of radial matrix element.
Grasp teaching core of theory of relativity --.the absolute nature of real physical law
. 2013, 32(4): 28-28.
Abstract
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873
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(320KB) (
867
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The intrinsic link between the relativistic space-time theory with absolute space-time theory is ana- lyzed and the absolute nature of thought being the soul of Einstein＇s theory of relativity is emphasized. The physics of the university of relativistic teaching should highlight the true physical laws of the absolute natural, the expres- sion of the relativity of time and space is just in the interpretation of space-time theory.
Design and implementation of incoherent digital holographic experiments based on LabVIEW
. 2013, 32(4): 31-31.
Abstract
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879
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(661KB) (
751
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Digital incoherent holography enables holograms to be recorded from incoherent light with just a dig- ital camera and spatial light modulator, and three-dimensional properties of the specimen are revealed after the hol- ogram is reconstructed in the computer. The digital microscopic holography experiment of coaxial phase shift inco- herent is designed and implemented based on the principle of Fresnel incoherent correlation holography. An auto- matic control program is developed based on LabVIEW, which combines the functions of major experimental hard- ware control and digital reconstruction of the holograms. The experimental results show that our system is high effi- cient and can reduce the errors which are caused by the shaking of manual operation. The basic functions of the system are completed and a user-friendly interface is provided for easy operation.
Discussion of the discovery of the law of universal gravitation and the innovative thinking
. 2013, 32(4): 35-35.
Abstract
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1261
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(424KB) (
1274
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We review the discovering history of the law of uruversal gravitation and discuss the generation process of creative thinking and the education methods on fostering the innovative thinking.
Differences and thoughts of classical knowledge of Chinese and foreign Quantum Mechanics textbooks
. 2013, 32(4): 38-38.
Abstract
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1003
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1091
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Quantum mechanics as an important one of the basic theories of modern physics, its development plays an important role to humans. In order to better promote the development of domestic university teaching, we analyze the uncertainty principle concretely and discuss the teaching ideas of different textbooks on deep breadth from the classic knowledge of six famous domestic and foreign quantum mechanics textbooks. It is cleared for the content characteristics, emphasis and deficiency of the textbooks.
Status and development of abroad college physics education research —— A content analysis based on AJP and PRST （2001--2011）
. 2013, 32(4): 41-41.
Abstract
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993
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(525KB) (
1092
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This paper takes the college physics education research papers from AJP and PRST in latest 10 years as research samples and analyzes their papers by content analysis method, which includes the status and develop- ment of the papers number, form, research theme and subject as well as research methods. It is shown that the number of papers increases year after year. These papers pay more attention to students＇ study and instructional strategies, force and electromagnetic field. And more of them adopt quantitative research method, papers＇ presen- tation have scientific standardized form.
Analysis of the autoparametric resonance of three-dimensional spring pendulum
. 2013, 32(4): 46-46.
Abstract
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966
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1020
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The autoparametric resonance of three-dimensional spring pendulum is analyzed in terms of both the theory and the numeral calculation. It is found that the motion of three-dimensional spring pendulum in the horizon- tal plane can be approximated as the line segment with continuous deflection. The polar angle of the spring pendu- lum in the horizontal plane remains approximately constant within a period of time. In the case of micro-vibration the relation between the change of polar angle and the initial conditions is linear.
Discussion of the discovery of the law of universal gravitation and the innovative thinking
. 2013, 32(4): 50-50.
Abstract
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907
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PDF
(261KB) (
1368
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We review the discovering history of the law of uruversal gravitation and discuss the generation process of creative thinking and the education methods on fostering the innovative thinking.
Study of source property and its role in light interference
. 2013, 32(4): 53-53.
Abstract
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1227
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(769KB) (
1334
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Centering on interfere condition of the light, the paper analysis the property of light source and reali- zation method of light interference and discusses the influence of light source on interference fringe disnrtion and quality. In die oplics teaching, il is essential to emphasis on the influence of source on the coherence property, which wild enahle students to deepen understanding tile phenomenon and essence of light interference.
Demonstration open course project and talent cultivation
. 2013, 32(4): 57-57.
Abstract
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755
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(313KB) (
439
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In more than a decade, remarkable achievements have been made in demonstration open course pro- ject, which will further facilitate the improvement in the quality of high education. In this paper, the close relation between demonstration open course project and talent cultivation are discussed and stressed. It is thought that re- search-oriented autonomous learning should be paid more attention to in demonstration open coures project. Taking electromagnetic course for example, some suggestions are made in the course teaching methods reform. It is pro- posed that students should be centered on in demonstration open course project. Moreover, nous return is stressed in demonstration open course project and teaching reform.
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