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Table of Content
20 December 2010 Volume 29 Issue 12
著者文摘
Research on the self-energy coefficient for charged bodies and its law
. 2010, 29(12): 1-1.
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914
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The electrostatic self-energy formulae for few special charged bodies are usually given in the present literature.In the past it was rare for people to study the self-energy characteristic of general charged bodies and its law.In this paper,the concept of self-energy coefficient is introduced and then the self-energy and self-energy coefficients for some familiar symmetrical charged bodies are calculated.The qualitative and half-quantitative laws about the self-energy coefficients for charged bodies are found from these results.
Roothaan-Hartree-Fock calculation of helium ground state
. 2010, 29(12): 7-7.
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1194
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1702
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The procedure for numerical solution of the Roothaan-Hartree-Fock equation for helium in its ground state with self-consistent field method is illustrated through expressing the wave function of single electron as a ＂double-zeta＂ function,which is the linear combination of only two Slater-type functions.The calculated result of the ground state energy is-2.862 568 Hartree.Due to the spherical symmetry of the ground state,the Coulomb operator can be computed by solving the Poisson＇s equation numerically,the overlap integrals and the nuclear-field orbital energies are evaluated analytically,the criterions of self-consistent are also discussed.
Non-parallel-plate capacitor for further calculation of electric field and capacitance
. 2010, 29(12): 10-10.
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893
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696
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The reset function method is used to calculate the electric potential of non-parallel-plate capacitor.
The electric field of line-charge near a dielectric cylinder calculated by dielectric image method
. 2010, 29(12): 12-12.
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1363
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1114
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The electric field of line-charge near a dielectric cylinder is calculated by employing the dielectric image method,and particularly,the expressions of electric potential and the electric field intensity in explicit forms are generated.Further,the equations of both equipotential line and electric field line are obtained.Finally,the maps of equipotential and electric field lines are plotted by mathematical software ＂MATLAB＂ for proving the results.
The electric dipole and magnetic moment of moving medium
. 2010, 29(12): 18-18.
Abstract
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1058
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709
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Based on the coordinate transformation formula of polarization and magnetization of medium,we derive the electric dipole and magnetic moment of moving medium.
The Fraunhofer diffraction of the phase-type complementary screen of symmetrical distribution
. 2010, 29(12): 22-22.
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1209
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403
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In order to validate the application of the Babinet＇s principle in the phase-type complementary screen,the mathematical model of the phase-type complementary screens is established.From the theoretical analyses,the expressions of the transmissivity of complex amplitude of the two complementary screens are obtained.By means of the optical Fourier transform method,it is verified that the expressions of the light intensity distribution in the spectrum are the same.Through computer simulation,it is shown that the light intensity distribution rules of the Fraunhofer diffraction of the parabolic cylinder phase-type complementary screens are the same as the theoretical analyses and the diffraction of the phase-type complementary screens that the distribution rules are even functions accords with the Babinet＇s principle.
Standing wave method for measuring Young＇s modulus and its error analysis
. 2010, 29(12): 25-25.
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1190
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973
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Using the standing wave theory,we propose a standing wave method for measuring Young＇s modulus.The method controls deformation of wire artificially and measures basis frequency of wire to obtain its tension and then Young＇s modulus.In comparison with traditional methods,the standing wave method avoids measuring diameter and deformation of the wire,thus,it is easy to operate.Furthermore,its uncertainty is mainly ruled by the micrometer precision.Hence,the method has high accuracy.
Further study on determining the surface tension coefficient of liquid with the capillary tube probe method
. 2010, 29(12): 31-31.
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974
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1314
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A further study on the determining liquid＇s surface tension coefficient with the capillary tube probe method was carried out by means of a greater diameter capillary tube.The refined Rayleigh＇s equation proposed by Prokhorov was employed in this paper,the applicable scope of each related equations to calculate surface tension coefficient α was introduced as well.The capillary rise heights of distilled water in a diameter of 5.744 mm at a few different temperatures were measured,by experiment,using the probe method respectively,Prokhorov＇s equation was used for calculating α.The percentage error between the determined surface tension coefficient of distilled water and its recognized value was less than ca.0.13% compared with the recognized value.The error causes in terms of the experimental results were analyzed at the end.
Introduction of NMR teaching apparatus using flowing water
. 2010, 29(12): 34-34.
Abstract
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830
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827
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The principle of a NMR based on flowing water is introduced.Relaxation time,strong magnetic field and three elements of a weak magnetic field are measured by using the self-made NMR teaching apparatus of flowing water.The nutation effect is observed and explained.
Application of X-ray to modern physical experiment
. 2010, 29(12): 39-39.
Abstract
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1030
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679
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Based on Leybold X-ray experimental system, the particularity of X-ray is analyzed and studied.Five typical modern physical experiments show incomparable superiority of X-ray as an electromagnetic wave, using of X-ray in class can reflect research-led physical experiment teaching.
Dynamic display the characteristics of AR coatings
. 2010, 29(12): 43-43.
Abstract
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714
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356
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A simple simulation device is designed,which can be used to dynamically show the characteristics of single-layer film,as well as the influence of film thickness changing upon antireflective effect.
Usage of physical constants and expression of measured results in teaching of college physics experiments
. 2010, 29(12): 45-45.
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867
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643
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This paper discusses some issues on teaching of college physics experiments.Some contents of courses in current teaching are obsolete and divorces from science and technology development,and some general national and international standards are not adopted.Several suggestions are presented to resolve these problems.The newest fundamental physical constants recommended by the committee on data for science and technology（CODATA） in 2006 are suggested to be adopted.According to national standards and scholarly customs,the expression of the uncertainty of measurement is presented.To avoid that significance figure has not a uniform definition and hence lead to ambiguity and misunderstanding,rounding vale with certain rounding interval is proposed to replace significance figure.At last,the criterion of negligible standard deviation is redefined.
Evaluating students＇ prior knowledge to promote introductory physics instruction
. 2010, 29(12): 49-49.
Abstract
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670
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267
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Students＇ prior knowledge comes from every aspect of their actual process of learning.Students may have at least three different conditions of prior knowledge of the to-be-learned physics concepts.In order to get a reasonable evaluation of the initial state of the students,we should know their conditions of prior knowledge first.This is very important for introductory physics instruction.
Deriving the eigenvector of the operator λx^＋μp^ by｜x〉
. 2010, 29(12): 52-52.
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873
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450
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By the representation of the coordinate eigenvector ｜x〉 in the Fock space,the eigenvector ｜ψ〉 of the operator λx^＋μp^ is derived and its orthogonal relation is also proved.These results show that the eigenvector ｜ψ〉 satisfies the completeness and the orthogonal relations.Therefore,this eigenvector ｜ψ〉 can be qualified for a representation in quantum mechanics.When λ=1 and μ= 0,the eigenvector ｜ψ〉 evolves into the coordinate eigenvector ｜x〉;while λ=0 and μ =1,the ｜ψ〉 reduces to the momentum eigenvector ｜p〉.Therefore,the representation consisted by the eigenvectors ｜ψ〉 is an intermediate representation between the coordinate representation and the momentum representation.
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