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Table of Content
20 August 2005 Volume 24 Issue 8
著者文摘
The anomalous refraction in material with a negative refractive index
. 2005, 24(8): 1-1.
Abstract
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696
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733
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The negative refractive material is receiving much attention recently because of its many peculiar features, especially the anomalous refraction, compared with the regular material. A detailed explanation of the anomalous refraction in material with a negative refractive index using the Huygens principle is presented. The differences of the design of optical devices of the negative refractive material and that of regular material are also analyzed.
A quantum mechanics method of the sum of infinite series
. 2005, 24(8): 5-5.
Abstract
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725
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(257KB) (
473
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On the basis of the analytical solution in an infinite square potential well of one dimension, this paper deduces 24 summation formulas of infinite series, such as ∑n=1^∞ 1/n^2、∑n=1^∞ 1/n^4 , etc. are deduced. This is constructed by using the equivalence of the two different methods in calculating the normalization constant of wave function and the mean value of energy.
The radiation law of tow types of particles in black-body radiation
. 2005, 24(8): 9-9.
Abstract
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756
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(219KB) (
406
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Considering relativistic effect, by using quantum statistics, the radiation formulas of two types of particles, consisting of Planck black-body radiation formula, are obtained, which satisfy Bose-Einstein statistics and Fermi-Dirac statistics respectively. It is found that the radiation spectrum is not only relative to the radiation temperature of black-body, but also to the energy and the chemical potential and the kinds of particles, The radiation strength is relative to the rest mass and the energy of particles, and the degeneration factor.
Chase after the wave
. 2005, 24(8): 11-11.
Abstract
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879
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(124KB) (
320
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The consequence of chasing a wave is discussed.
A problem about the interaction between two electrostatic systems in the virtual work calculation
. 2005, 24(8): 13-13.
Abstract
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639
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(212KB) (
380
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In an article elsewhere, the formula is not suitable when finding the solution of mutual acting force between two electrostatic systems in the virtual work calculation, thus, the conclusion is not correct. The reason is analysed and the error is corrected.
Precise equation and its numerical solution of optimum putting angle of a shot
. 2005, 24(8): 16-16.
Abstract
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924
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PDF
(229KB) (
725
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The problem of shot＇s optimum putting angle in calculation formulae are pointed out, precise equation and numerical solution of this angle are given.
The electric field distribution of a uniformly charged ring
. 2005, 24(8): 19-19.
Abstract
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1127
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(212KB) (
1383
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In cylindrical coordinate system, the electric field distribution of a uniformly charged ring, is obtained in a series form, then the electrical field distribution on the plane of the ring, at the central axis and in the distant region are discussed
Vibration analysis of disorderly coupled pendulums
. 2005, 24(8): 21-21.
Abstract
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623
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(271KB) (
602
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Through the Lagrange＇s equation, the matrix equation of coupled pendulums is established, the vibration of disorderly coupled pendulums is analyzed; the vibration of disorderly coupled pendulums is studied, and by using the MAPLE9.0, the three-dimensional curve of the amplitude ratio and natural frequency is drawn following the parameter change. The conclusions are that natural frequency increases with the increase of parameter ε and β; the disorder of coupled pendulums has a mode localization phenomena, at the first-order mode localization phenomena, the amplitude ratio increases with the increase of parameter ε.
A convenient derivation of the Doppler effect formulas
. 2005, 24(8): 25-25.
Abstract
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1948
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(264KB) (
1791
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Based on the hypothesis that Doppler effect means a coordinate transformation of the frequency of a wave, the Doppler effect formulas are derived from Lorentz transformation.
Is there the upper limit of period of a simple pendulum
. 2005, 24(8): 28-28.
Abstract
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708
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PDF
(143KB) (
441
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The relation between the length and period of a simple pendulum is discussed. The upper limit of it＇s period for small oscillation is given and the motion of simple pendulum is compared with other dynamical phenomenon.
Frequently used integrals in theoretical physics teaching
. 2005, 24(8): 30-30.
Abstract
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905
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(278KB) (
424
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It presents the generalized calculating methods and the formularized generic results of integrals∫0^∞x^ne^-ax and ∫0^∞x^ne^-（αx）^m dx dx and probability integrals ∫0^∞x^ne^-αr^2 dx and some frequently used integrals inBoltzmann statistics, Bose statistics and Fermi statistics.
Diffraction of Gaussian beam by a rectangular aperture
. 2005, 24(8): 34-34.
Abstract
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798
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PDF
(292KB) (
418
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Based on Kirchhoff＇ s theory, the approximate formulas of a rectangular aperture and slit is derived under paraxial approximation, and by power series expanding methods, the fundamental characteristics of the diffraction field is analyzed by the numerical calculation and numerical simulation, some results consistent with other literature and experimental results are obtained.
The diffraction state of single electron's Young's experiment described by path integrals
. 2005, 24(8): 38-38.
Abstract
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783
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PDF
(277KB) (
948
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The quantum states of single electron through tow-slit or multi-slit and its probability distribution are calculated by using Feynman＇s path integrals. Based on our results, a clear physical description of this experiment is given to explain the diffraction state of single electron.
Quantum energy spectra of mesoscopic mutual inductance coupled and damped parallel LCcircuit
. 2005, 24(8): 41-41.
Abstract
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538
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PDF
(254KB) (
357
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A mesoscopic mutual inductance coupled and damped parallel circuit is quantized by the method of damped harmonic oscillator quantization. The Hamiltonian of the system is diagonalized by unitary transformation three times. The energy spectra of the circuit are given.
A proof of the secular equilibrium formula in radioactive cascade decay series
. 2005, 24(8): 44-44.
Abstract
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1475
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(203KB) (
1122
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The truth of the secular equilibrium formula in radioactive cascade decay series is proved with the use of the Bateman formula. A brief demonstration is given after making a detailed explanation on the presentation of the Bateman formula. In addition, an example is given to illustrate the application of the secular equilibrium formula.
A discussion of the torsion vibration of three-line pendulum using kinetic energy theorem
. 2005, 24(8): 47-47.
Abstract
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723
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(267KB) (
642
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The dynamic equations of three-line pendulum are given, the differential and integral expressions of kinetic energy theorem are derived. The variation curves of rotational kinetic energy and translational kinetic energy changing with angle coordinate are drawn using MATLAB. The influence of translational kinetic energy on the period of vibration is analyzed.
New type demonstration instrument for skin effect
. 2005, 24(8): 51-51.
Abstract
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760
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(162KB) (
607
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A new demonstration instrument for skin effect is reported.
Scanning Tunneling Microscope (STM) in contemporary physical experiment
. 2005, 24(8): 53-53.
Abstract
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665
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(245KB) (
420
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The research subjects of experiment by using Scanning Tunneling Microscope for graduates and senior undergraduates are introduced.
Computer simulation of three-dimensional electrostatic field--Axonometric projection method
. 2005, 24(8): 56-56.
Abstract
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502
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PDF
(228KB) (
368
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Using axonometric projection method, the computer simulation of the dimensional electrostatic field is realized through the planar projection transformation of three-dimensional coordinate.
Drawing the lines of electric force of a pair of point charges by computer
. 2005, 24(8): 59-59.
Abstract
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957
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PDF
(210KB) (
743
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The lines of electric force of a pair of point charges are drawn by computer,some examples are given.
A new drift solution of the free-falling body and the up-cast
. 2005, 24(8): 61-61.
Abstract
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646
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PDF
(208KB) (
851
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A brief method to calculate the drift of the free-falling body on the earth is given, which also solves that of the freely up-cast body.
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