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Table of Content
20 March 2009 Volume 28 Issue 3
著者文摘
A new approach to study the parity operator
. 2009, 28(3): 1-1.
Abstract
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1072
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(249KB) (
1018
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In the quantum mechanics, the parity operator P^ can be expressed by ∫d^2z/π｜z〉〈-z｜、∫dq｜q〉〈-q｜和∫dp｜p〉〈-p｜ By using the Dirac symbol and the completeness of quantum representations, an alternative method is proposed. By this method, these integrations for asymmetric projection operator are realized, and then explicit form of the asymmetric projection operator is obtained
Harmonic wave and correction algorithm for forced Van der Pol oscillator
. 2009, 28(3): 4-4.
Abstract
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835
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(350KB) (
425
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The sign algorithm of the harmonic balance approximate solutions and homotopy continuation method are introduced to get the analytic limit cycle and steady state response of the forced Van der Pol oscillator. In order to enhance precision,a correction algorithm is proposed. The approximate solution presented here is compared with numerical simulation. It is shown that the algorithm is very accurate, reliable and also an effective way of analyzing strong nonlinear systems.
Exact solution of Burgers equation by trigonometric series and Maple
. 2009, 28(3): 8-8.
Abstract
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753
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(157KB) (
452
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The Burgers equation is changed into nonlinear algebraic equations based on the trigonometric series, thus it can be solved by using the Maple software. The exact solution of Burgers equation is also obtained.
A treating approach to one-dimensional wave equation with special inhomogeneity free term
. 2009, 28(3): 10-10.
Abstract
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817
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(295KB) (
357
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The special solution is found for an inhomogeneity wave equation if its free term presents in special forms of several kinds. A specific example is introduced.
The Lagrangian and Hamiltonian of damped harmonic oscillator
. 2009, 28(3): 13-13.
Abstract
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1439
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(168KB) (
994
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The differential equation of damped harmonic oscillator （DHO） is transformed into an equivalent self-adjoint form by using a direct method. Two Lagrangians and Hamihonians of DHO are constructed and the Noether conserved quantities for the DHO are obtained.
On the treatment of reversible and irreversible processes or cycles in Clausius＇ method of entropy deduction
. 2009, 28(3): 15-15.
Abstract
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1003
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(513KB) (
434
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A treatment for reversible and irreversible processes or cycles by the Clausius＇ method is introduced and some aspects related to the method are debated. Another method of entropy deduction is mentioned, treatments of adiabatic processes with different methods are compared, and then an indispensable assumption of Clausius＇ method is clarified.
Diffraction and imaging characteristic of curved grating with gradually changing periods
. 2009, 28(3): 19-19.
Abstract
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812
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PDF
(349KB) (
362
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The principle of curved grating with gradually changing periods is presented. Its diffraction characteristic and imaging characteristic are analyzed. The result shows that curved grating with gradually changing periods has dual effect of beam splitting and focusing. The symmetrical diffraction level has effect of positive lens and negative lens, and the focal length is equal. It focus the objects of different depth of field and image the same focal plane with space separating.
A ray model for the propagation of light in a step fiber
. 2009, 28(3): 22-22.
Abstract
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641
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(165KB) (
541
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A geometric ray model for the propagation of light in a step fiber is presented, and the cut-off conditions are derived
The imaginary part of dielectric function and the absorption coefficient
. 2009, 28(3): 24-24.
Abstract
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1997
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(178KB) (
2151
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The relations between absorption coefficient and the imaginary part of dielectric function, and between absorption coefficient and extinction coefficient, are discussed. The absorption coefficient is proportional to extinction coefficient. But it is not always that the absorption coefficient is proportional to the imaginary part of dielectric function.
Analysis of double-cone up rolling experiment
. 2009, 28(3): 26-26.
Abstract
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1743
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(255KB) (
1514
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The cause which induces a double-cone up rolling through the leaning guide is analyzed according to the geometry. The influence of the geometry parameter is discussed
Theoretical research on experiment of measuring Young＇s modulus with dynamical method
. 2009, 28(3): 29-29.
Abstract
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1107
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(347KB) (
2640
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The experimental principle of measuring Young＇s modulus by the dynamical method is studied systematically. The results show that the frequency which can be obtained from the experiment is the natural frequency of the system, which is composed of the metal bar and the changer, and the fundamental formula is deduced. The results also demonstrate that the frequency which is obtained in the experiment by using the extrapolation method is the natural frequency of the metal bar indeed.
Research on output characteristic research of unbalanced bridge
. 2009, 28(3): 33-33.
Abstract
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1423
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(254KB) (
1139
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The principle and the output characteristic of unbalanced bridge are investigated. The experimental equipment is established and the output characteristic of unbalanced bridge is measured
A fiber- optic gyroscope north seeker for teaching experiments
. 2009, 28(3): 36-36.
Abstract
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876
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PDF
(355KB) (
513
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Fiber-optic gyroscope （FOG） can be used to measure the velocity of rotation on its axis. Using this method and four-position scheme, we measure the north of the earth, the latitude of laboratory and the speed of self-rotation of the earth. The main principles of FOG north seeker and four-position scheme are introduced. The experimental equipment of north seeker, experimental steps and the data treatment method are also discussed.
An explanation for demonstrative phenomenon in hand alternator
. 2009, 28(3): 39-39.
Abstract
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990
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PDF
(362KB) (
589
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The phenomenon of a pulsating direct current in demonstrative experiment of hand alternator is founded and the reasonable explanation is presented. An improvement for demonstrative experiment is also proposed.
Bridgman＇ s study on the physics of high pressure
. 2009, 28(3): 43-43.
Abstract
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894
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(647KB) (
593
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The brief biography of Percy Williams Bridgman is outlined. His contributions to the technique of high pressure experimenting and the physics of high pressure are recounted. His ability of holding of chances and making much of his own apparatus, and his rigorous scientific approach are stressed.
A new approach for measuring the Boltzmann constant from the Brownian motion
. 2009, 28(3): 49-49.
Abstract
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979
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(366KB) (
865
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The Brownian motion of polypropylene particles is studied by using a computer image acquisition system, which consists of a microscope, a CCD camera and a user interface. The pictures captured are further analyzed with a MATLAB program and the coordinates of Brownian particles are read out. Based on the statistics of a large sample of data, the Boltzmann constant is determined at a relative error of 4%. Moreover, the Gaussian distribution of the displacements of Brownian particles and the linear growth of its second moment with time are verified.
Discussion and numerical calculation of a praxis
. 2009, 28(3): 52-52.
Abstract
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655
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(251KB) (
369
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Using the simulation calculation of C language program, we find that the answer of exercise 13 （in ＂Schrodinger Equation＂, Chapter III of 《Modern Physic》 which is a 21st century institution of higher learning, written by Yang Gui-lin, Jiang Xing-fang, Ke Shan-zhe, printed by Science Press in 2004） is incorrect. The correct result through numerical calculation is obtained and this question is also discussed in detail.
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