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Table of Content
20 November 2014 Volume 33 Issue 11
著者文摘
Magnetic monopole and electromagnetic duality
. 2014, 33(11): 1-1.
Abstract
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889
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1236
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Based on the Dirac-Maxwell＇s equations and generalized Lorentz force formula, the concepts and meaning of magnetic monopole and electromagnetic duality are introduced and discussed. According to the electromagnetic duality,the Maxwell＇s equations and Lorentz force formula can be transformed into a new form with coexistence of electric charges and magnetic charges,but the conjecture of Dirac monopole changes significantly the structure of Maxwell＇s equations, so that no duality transformation can reduce the Dirac-Maxwell＇s equations to the original form of Maxwell＇s equations. By using the generalized Lorentz force formula,it is also proven that both of the Dirac-Maxwell field and Maxwell electromagnetic field share the same formulae of energy density,Poyinting vector, density of kinetic momentum and tensor of kinetic momentum flow. Finally, we state that the fields of Dirac- Maxwell＇s equations can be decomposed into two groups of Maxwell＇s equations, one for electrical charges and the other for magnetic charges,and therefore the problem of monopole can be described and solved by employing the traditional theory of electrodynamics.
A general formula for calculating unilateral constraint release point in arbitrary smooth curves in vertical plane and its application
. 2014, 33(11): 5-5.
Abstract
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873
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(384KB) (
589
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A general formula is derived to calculate unilateral constraint release point of the motion process in arbitrary smooth curves by differential equation of motion and the law of conservation of mechanical energy in rectangular coordinate system. It is used to study the constraint curves with quadratic function, cubic parabola, sine curve, hyperbolic sine curve and ordinary cycloid.
The electrical potential of a line charge and a grounded conductor with the semi-elliptical cylinder
. 2014, 33(11): 9-9.
Abstract
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689
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(344KB) (
530
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The electrical potential of a line charge and a grounded conductor with the semi-elliptical cylinder is calculated by Joukowski transformation. The electrical potential maps are plotted by using the software Matlab.
Influence of a grounding conductor plate with low ridge on uniform electric field and its numerical simulation
. 2014, 33(11): 12-12.
Abstract
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744
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(264KB) (
492
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The influence of a conductor plate with low ridge on uniform electric field is studied by using radical transformation on the complex coordinate system of the complex number, furthermore electric potential distribution and electric field intensity distribution are obtained. The electric field line maps are plotted by using the software MATLAB. On extent of influence of a conductor plate with low ridge on uniform electric field is studied qualitatively.
Study on the equivalent conversion of star-polygon circuit
. 2014, 33(11): 15-15.
Abstract
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870
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(435KB) (
868
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The equivalent conversion equation between passive star circuit and polygon circuit is derived in a simple way. It is proofed that a polygon circuit or an imperfect polygon circuit has a unique equivalent star circuit. Examples are given to show the application of the equivalent conversion equation between passive star circuit and polygon circuit. The equivalent conversion method between imperfect polygon circuit and star circuit is introduced. Furthermore, the method is given to separate the equivalent current source of active star circuit and polygon circuit from passive starcircuit and polygon circuit.
The vibration-rotational energy level structure of Murrell-Sorbie molecules potential
. 2014, 33(11): 20-20.
Abstract
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675
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(338KB) (
390
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The internal interaction potential of diatomic molecular system is analyzed and compared. The Murrell-Sorbian potential is used. We use Taylor perturbation theory to solve the corresponding stationary Schrodinger equation and to take the radial matrix diagonal element brief form in three-dimensional harmonic oscillator potential energy representation as well as to get first-order perturbation energy. Then the vibration-rotational energy level of the analytical form in the diatomic molecular system is obtained. The low energy level and spectral theory result are consistent with the experimental results.
The comparison of two different types of college physics tutorials at the University of Sydney
. 2014, 33(11): 23-23.
Abstract
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923
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(636KB) (
498
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This paper compare the curriculum goals, theoretical basis and teaching strategy, course forms, research results of two different types of college physics tutorials model at the University of Sydney, Workshop Tutorials and Map Meetings. It is shown that they are all based constructive learning theory, Map Meetings also based theory of cognitive load and multimedia learning. They have its own characteristics. Map Meetings is more popular with students, and more helpful for students who physics is poor. Whereas ,Workshop Tutorials highlights the interaction of students.
Discovery and application of the principle of equivalence
. 2014, 33(11): 28-28.
Abstract
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790
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(721KB) (
912
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The classical experiment of equivalent of gravitational mass and inertial mass are reviewed. The discovery of the principle of equivalence is introduced. The application of the principle of equivalence to the delay of time of the gravitational field, gravitational red of spectrum of star and deflection of light ray are illustrated.
Designing of a chaotic movement system based on forced oscillation
. 2014, 33(11): 34-34.
Abstract
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785
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(912KB) (
632
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A chaotic movement system of spring oscillator driven along elliptical orbit is set up. It is based on forced oscillation and coincided with the condition of chaos. Major semi-axis and minor semi-axis of elliptical orbit are a =20 mm, b= 16 mm. Driving motor worked on a mode of frequency modulation which controlled by singlechip microcomputer. The range of angular velocity co is 20- 80 r/min. The displacement of oscillator is detected by DisLab system. The experiment result is in agreement with theoretical simulation well.
The friendship between Max Born and his student, Maria Goeppert
. 2014, 33(11): 38-38.
Abstract
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821
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(947KB) (
467
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Max Born got the Nobel prize in 1954 and Maria Goeppert got her Nobel prize in 1963. Max Born was the doctoral instructor of Maria Goeppert. They always enjoyed good relations. Born was concerned with his proud disciple,Maria Goeppert, and Maria.Goeppert always understood and respected her instructor, she inherited Born＇ aeademie spirit, and spreaded his academic thought. It is a meaningful thing to dig and describe the good feeling and friendship in the scientific world,and can be a great help to construct the scientific culture.
A typical case of cultivating innovative ability
. 2014, 33(11): 44-44.
Abstract
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1836
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(284KB) (
508
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Based on the historical data of planetary orbit, we research again the relationship between planetary orbital radius and planetary sequence. Under the guidance of the scientific methodology,we obtain Titius-Bode law by means of modern scientific computing tools step by step. We exhibit the process of data analysis and empirical formula exploration in detail. The process can be acted as a typical case to promote the innovative ability of college students.
Impulse calculation of several kinds of variable forces
. 2014, 33(11): 47-47.
Abstract
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4377
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(394KB) (
906
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The impulse of two typical types of variable forces （centripetal force and friction force）is calculated by using several methods. The result is also numerically analyzed.
Approximate period formula for simple pendulum of arbitrary pivot angle with Mathematica
. 2014, 33(11): 52-52.
Abstract
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1298
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(241KB) (
594
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Through revising a most exact approximate formula for the period of a simple pendulum in some documents by using the curve fitting method with Mathematica, a form of approximate analytic function is derived and discussed in detail.
Numerical and variational solution of wave functions and energy levels of the micro-particle in the one-dimensional infinite trapezoid potential well
. 2014, 33(11): 54-54.
Abstract
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888
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(472KB) (
600
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We introduce an algorithm, namely the celebrated Numerov algorithm, which is used to solve boundary value problem of two-order ordinary differential equation, and we obtain the numerical solution of the wave functions and energy levels of the particle confined into the one dimensional infinitely trapezoid potential well along with the shooting method. Besides, we get the ground state energy of the model through variational method.
Polaron and bipolaron in solid state
. 2014, 33(11): 59-59.
Abstract
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1370
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(385KB) (
1729
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Ionic crystals usually possess high dielectric constant. The charged particle is able to induce dielec- tric polarization in crystal,which functions as a charge-trapping potential well. The polarons and bipolarons are able to form when their trapping states in potential well are stable. In this paper, a simplified method is utilized and the crystal is regarded as isotropic and uniform media. By using the picture of classical physics and model of quantum harmonic oscillator, the ground state energies of polarons and hipolarons are calculated,and some theoretical analy- sis is given.
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