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Table of Content
20 September 2008 Volume 27 Issue 9
著者文摘
The corrections to the fluctuations of gas
. 2008, 27(9): 1-1.
Abstract
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630
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266
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Classical theory of equilibrium fluctuations in large systems is not adequate when small volume situation is encountered. We use the mean free path approach to illuminate the physical picture of the correction to thefluctuations of gas caused by the correlation between neighboring small cells, and then calculate the exact correction by using theory of transport processes in gas.
A self-consistent method to calculate eigen-value of a nonlinear harmonic oscillator
. 2008, 27(9): 4-4.
Abstract
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637
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379
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A new self-consistent method for calculating the eigen-value of a nonlinear harmonic oscillator is proposed. The results show that the equivalent potential, the average value of coordinate operators, and the eigenvalue energy are in agreement with those by using the perturbation method in the case of small quantum number, indeed, the both are the same at zero quantum number.
Study on equivalent resistance of 3 × n step network
. 2008, 27(9): 7-7.
Abstract
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722
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602
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The basic structure of a 3 × n -network is studied and the equivalent resistance of the network is calculated. A set of differential equations is solved by using the matrix transform method and thus a general formula for the inlet resistance of 3 ×n -network is proposed. It is found the equivalent resistance of infinity resistance network is an irrational number.
Discussion of the general form of translation and rotating transformations of inertial product
. 2008, 27(9): 11-11.
Abstract
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610
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339
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The general forms of translation and rotation transformations of inertial product are proposed, so that the problem for the transformation of inertial product between any two coordinate systems is solved.
An alternatively approach to the normal coordinate
. 2008, 27(9): 14-14.
Abstract
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750
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520
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The method of invariant eigen-operator is generalized to the classical system, and the normal coordi- nate of system is also obtained by using this method.
Comment on《Approximate formula for the period of a simple pendulum》
. 2008, 27(9): 16-16.
Abstract
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573
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(248KB) (
407
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Based on the series expansion, we give a theoretical foundation for the approximate period formula of a simple pendulum which proposed in Ref. [ 8 ]. With this method, we propose a higher precision formula. In comparison with other approximate expressions, the accurate degree of the present formula is increased about 1 - 2 or- der of magnitudes.
Research on energy transfer of transverse wave in a continuous media
. 2008, 27(9): 19-19.
Abstract
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610
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(277KB) (
353
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Starting with the analysis of the force and deformation of an infinitesimal mass and based on the fundamental theories of elastic mechanics such as the Newton law,continuous hypothesis and extensive Hooke law,we study the problem of energy transfer of transverse wave in a continuous media. Under the conditions of the minute reform hypothesis,no initial stress hypothesis, uniform and isotropic medium hypothesis, we analyze the prompting factor and dynamical image and show the essential character and elementary law of energy transfer of transverse wave.
Study on the particle of the bound smooth rotating ring
. 2008, 27(9): 22-22.
Abstract
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483
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352
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Patterns of the fixed points are analyzed by using the method and principle of nonlinear dynamics. The phase diagram for the trajectory of the particle is done from numerical calculations, and then the movements of particle are concluded in a more intuitive way for several inertial conditions.
The roots of the equation of ray velocity and the ray axes
. 2008, 27(9): 25-25.
Abstract
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452
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247
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The roots of the equation of the ray velocity are analyzed and the ray axes is determined.
Quantum fluctuation of a mesoscopic RLC circuit with source
. 2008, 27(9): 27-27.
Abstract
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692
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(294KB) (
280
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A RLC electric circuit with source is quantized through the canonical transformation, the wave function of the RLC circuit is obtained by using the path integral method. The quantum fluctuations of charge and current are calculated by this wave function.
Measurement of absolute zero degree using pressure sensor and temperature sensor
. 2008, 27(9): 30-30.
Abstract
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605
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(294KB) (
410
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A concert between the pressure transmitter and the temperature sensor by using the air bottle is introduced. The pressure and temperature of the gas under the condition of equal volume are measured. By using the extend method, one can estimate the lowest temperature （ i. e. , the absolute zero degree） of the ideal gas. By substituting the original glass tube for measuring the volume and the mercury thermometer measuring the temperature, we use a new experimental installation for measuring the absolute zero degree. Thermodynamics phenomenon can be observed obviously and the value of absolute zero degree can be observed accurately.
Measurement of gravitational constant G
. 2008, 27(9): 33-33.
Abstract
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600
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(394KB) (
569
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The significance, history and current state of measuring G are introduced. Methods for measuring G are discussed in detail. The fundamental principle for measuring G with swing time method and the new progress based on atom interferometer are mainly demonstrated.
The famous physical scientist John Bardeen and his two trips to China
. 2008, 27(9): 37-37.
Abstract
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698
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(702KB) (
536
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The process of scientific research for the famous physical scientist Bardeen, which led to his two Nobel Prizes, is introduced. Systematical reviews for Bardeen visiting to China twice as well as his concern and support to the education and development of science and technology of China are performed. It draws some lessons from the way of Bardeen building scientific research team, in which he combined individual intelligence and collective creativity.
Phase-shifting interferometry and generalized digital phase-shifting interferometry
. 2008, 27(9): 43-43.
Abstract
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463
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(476KB) (
289
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The basic principles of phase-shifting interferometry （PSI） and generalized phase-shifting interferometry （ GPSI ） are explained within the framework of fundamental optics , the former needs special equal phase shift, while the latter can use arbitrary unknown phase shift. Some algorithms for the blind extraction of unknown phase shifts and then for wave-front reconstruction in GPSI are introduced. These discussion may provide a useful connection between basic and modern optics.
Numerical simulation of sandpile avalanche model
. 2008, 27(9): 47-47.
Abstract
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692
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(407KB) (
359
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A two-dimensional sandpile avalanche model of silo-timing is proposed. By using the celluar automata method, we perform the computer simulation for this model. The results show that there is a periodic oscillation for the flow of entrance granular in the process of granular avalanche. The total time of avalanche increases linearly with the size of hole. The beating of avalanche occurs as the entrance is a special place and changes periodically with granular height.
Uniformity of magnetic field inside quadric surface coil
. 2008, 27(9): 51-51.
Abstract
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484
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(348KB) (
268
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Based on discussing for the problem of magnetic field inside an ellipsoidal coil, this paper employs a numerical method to calculate the magnetic field inside several different shapes of coil. Using the same way to wind the coil on ellipsoid, paraboloid or hyperboloid, we find that the magnetic field inside can be uniform. The general formula is also confirmed. Possible ways to generate a large space of uniform magnetic fields are provided.
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