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Table of Content
20 February 2009 Volume 28 Issue 2
著者文摘
Symmetry properties of Clebsch-Gordan coefficients
. 2009, 28(2): 1-1.
Abstract
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1123
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933
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The freedom in the Clebsch-Gordan coefficients for the coupling between two angular momenta allowed by its definition is determined by the Sehur＇s lemma. Then the symmetry properties of the Clebsch-Gordan coefficients are obtained by using their orthonormality and phase convention.
Derivation of Van der Waals equation by molecular mean field theory
. 2009, 28(2): 3-3.
Abstract
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1414
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(247KB) (
1463
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By using the molecular motion and molecular mean field theories, this paper derives the state equation of real gas, i. e. , the Van der Waals equation. Moreover, in comparison with the precise solution about the statistical mechanics, a material reference data applying imply to the molecular functionary regions of real gas is obtained.
Quantization in mesoscopic RLC coupled circuit of two meshes
. 2009, 28(2): 6-6.
Abstract
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796
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(243KB) (
433
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Starting from the equation of the mesoscopic coupled circuits, we study quantization in mesoscopic RLC coupled circuit of two meshes by using the canonical transformation. The results reveal that its Hamihonian is unitary equivalent to that of two independent harmonic oscillators.
The motion of an arc swing
. 2009, 28(2): 9-9.
Abstract
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798
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(305KB) (
1188
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The equation of motion and the period of an arc swing are given. The influences of the relative position of the fixed point and the length of the arc on the period are discussed, respectively.
A simple method for calculating the time of a planet moving around the sun
. 2009, 28(2): 13-13.
Abstract
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921
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724
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Using the formula of area velocity, we obtain the expression of time for a planet moving around the sun. Also, a problem existing in the paper《A calculation of time of a planet in a elliptical orbit around the sum》（《college physics》Vol. 26 No. 12） is analyzed.
Analysis of completely rolling of a sphere in a freely moving sphere cavity
. 2009, 28(2): 15-15.
Abstract
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948
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(327KB) (
860
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The motion of a sphere＇ completely rolling in a freely moving sphere cavity on a smooth horizontal plane is investigated. The track equation of mass center of sphere and its any point on the edge of sphere in the inertial frame of reference are deduced, and their tracks are plotted. The period of tiny vibration of the sphere near the equilibrium position inside the sphere cavity is calculated, which is also compared with that of the sphere completely gliding inside a freely moving sphere cavity.
Derivation of the energy-level gap of two-dimensional coupled quantum harmonic oscillators by invariant eigen-operator method
. 2009, 28(2): 18-18.
Abstract
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884
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PDF
(279KB) (
351
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The invariant eigen-operator method is successfully applied to solving energy levels for some quantum systems＇ Hamihonian. For two-dimensional coupled quantum harmonic oscillators, the Hamihonian energylevel gap can be obtained with convenience and directness by this method. Then the Hamiltonian needs not to be diagonalized. The results show that the energy-level gaps are different for different coupled forms of two-dimensional quantum harmonic oscillators.
Dimensional analysis of formula of blackbody radiation
. 2009, 28(2): 21-21.
Abstract
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847
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(324KB) (
1484
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Dimensional analysis is an important approach to study various physical problems. In this paper, the formula of blackbody radiation is deduced by using the dimensional analysis.
Application of common mathematical tools in the identification of thermodynamic relation
. 2009, 28(2): 24-24.
Abstract
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852
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(316KB) (
593
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The commonly used mathematical tools, such as derivative and total differentiation of function of many variables, Jacobian determinant, Legendre transformation and derivative of complex functions are listed, respectively. Using the mathematical tools, six proving method of thermodynamic relation is summed in terms of the basic law of thermodynamics and fully analysing relation characteristic. The main points and examples for every kind of methods are given.
The derivation and application of the density of quantum states for relativistic particle in n dimensions
. 2009, 28(2): 28-28.
Abstract
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1036
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(258KB) (
560
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By the means of the semi-classical approximation, the density of quantum states for relativistic particles in n-dimensional space is derived and thus the lower dimensional results are obtained, and then apply it in the research of the black body radiation of n- dimensional space, the universal expressions of two kinds of particles in black body radiation is inferred, our main formulas which is yielded in the lower dimensions are consistent with our expected results for the three-dimensional space, which plays an important role for deepening the teaching and research in the lower dimensions.
Discussion on new-type colligation demonstration meter on thermal expansion and contraction of solid and exploring of physical principle
. 2009, 28(2): 31-31.
Abstract
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1009
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(718KB) (
612
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The demonstrative meter of thermal expansion and contraction of solid is made of a metallic hoop and a metallic ball. In this paper, we introduce a new synthesis-demonstration meter of thermal expansion and contraction of solid based on more exploration of physical principle of the demonstration experiment, which uses the characteristic of thermal expansion contraction of solid as the switch of the passing or breaking to the laser circuitry, and also uses the amplification function of the light path to minim appearing the effect of the thermal expansion contraction. Different from the traditional meters, by using this meter, we have made a virtual improvement in both the notability of demonstrative effect and the possession of synthetic knowledge.
A design for liquid density measurement circuit based on the capacitance sensor
. 2009, 28(2): 34-34.
Abstract
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741
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PDF
(684KB) (
425
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A sensor-based liquid density measurement circuit is designed in this paper, the design concept and part of the working principle are introduced, and the circuit diagram is given. The relative error of the measurement circuit is less than 0. 5% , and the present circuit has high accuracy and fast speed of measurement. The figures can be read directly and used simply.
Study on locating and measuring the sensitivity to angle of rotation by using different optical power points in Faraday effect experiment
. 2009, 28(2): 38-38.
Abstract
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756
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(349KB) (
504
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Malus＇s law is verified by the experiment, and the Verdet constant of the sample is measured by using the points located in extinction and maximum optical power. According to the analysis of the result of the experiment, the question which existed universally in the experiment is discussed that the sensitivity should be tested when the optical power and it＇s relative change rate are the maximum. The conclusion is drawn that it is the most accurate to measure the rotating angle of the linear polarized light when extinction exists.
Measuring wave velocity of liquid surface wave by the method of ultrasonic grating measurement for sound velocity
. 2009, 28(2): 41-41.
Abstract
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753
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PDF
(277KB) (
345
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The wave optics theory dependence The legible wave is measured by the means of the diffracted field on ultrasonic grating and the surface waves are derived by the light diffraction pattern is obtained in the experiment. The wave velocity of surface of surface wave grating diffraction. The error is not exceed 1%.
Discussion on reforming experiment teaching course using information technology
. 2009, 28(2): 44-44.
Abstract
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908
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(297KB) (
724
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Quick development of information technology makes it possible to change experiment teaching course. Aim at two weak parts in experiment teaching, we hang the CAI experiment teaching eourseware, computer net technology and traditional experiment teaching means together, reform general physics experiment teaching course. The actualizing process fall mostly into three steps： 1 ） carrying through dynamic analyses to the difficulties of experiment principle using the CAI experiment teaching courseware; 2） the students carry through simulating experiment operation of using the computer; 3） carrying through actual experiment -- more pay attention to train and advance the ability of solving problems.
Calculation of time of a planet in conic curved orbits
. 2009, 28(2): 47-47.
Abstract
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1004
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PDF
(240KB) (
639
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By means of calculating the constant area velocity of a planet moving in the conic curved orbit and the area which the position vector sweeps past, the time between any two points and the period in an elliptical orbit are obtained.
A design of the apparatus demonstrating electromagnetic inductionfor eddy current
. 2009, 28(2): 49-49.
Abstract
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833
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PDF
(319KB) (
606
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This design uses a new way, eddy current principle, to demonstrate electromagnetic induction phenomenon. Air cushion track is introduced into the mechanism. The generate effect is demonstrated by the interaction between Nd-Fe-B permanent magnet and aluminum-plant-vehicle in an ideal condition without resistance. The transformer effect is demonstrated by high frequency alternating electromagnetic magnet heating aluminumplant-vehicle or lighting tiny bulb connected to coil.
Symmetry of eigenfunctions on equilateral triangles
. 2009, 28(2): 52-52.
Abstract
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925
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(249KB) (
467
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The eigenvalues and eigenfunctions of Laplacian with Dirichlet boundary condition on equilateral triangles are derived from one dimensional representation of D3 group. Their symmetries are discussed.
The proof about the equation of volume of the n-th Brillouin zone and the volume of reciprocal＇ s primitive cell
. 2009, 28(2): 54-54.
Abstract
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2685
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1855
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By proving the equation of the volume of Wigner-Seitz primitive cell and the volume of primitive cell,we conclude that the volume of the first Brillouin zone is identical to the volume of reciprocal＇ s primitive cell. We establish an isometric hemeomorphism mapping between the n-th and （ n - 1 ）-th Brillouin zone to prove the equation of their volume.
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