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Table of Content
20 October 2010 Volume 29 Issue 10
著者文摘
One source and two fields
. 2010, 29(10): 1-1.
Abstract
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563
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660
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The concept of one source and two fields is introduced,which gaves prominence to the destructive area of the two fields.
Theoretical investigation on nonlinear vibration for a spring-spiral-pendulum system
. 2010, 29(10): 3-3.
Abstract
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648
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510
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The motion equations of a spring-spiral-pendulum system are derived by using the Newton＇s second law.The equations are a set of nonlinear ordinary differential equations which indicate that there exist complex dynamical structures in a spring-spiral-pendulum system.Theoretical analysis shows that there exists an internal resonance phenomenon,which is verified by the numerical results,when the system of spring-spiral-pendulum vibrating is freely.For the general case,we believe that the motion of a vibrating freely spring-spiral-pendulum is probably semi-periodic.
Physical interpretation of the generalized reflection and transmission coefficients
. 2010, 29(10): 8-8.
Abstract
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722
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960
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Powerful techniques have been developed for calculating the plane wave response of horizontally layered models.This method is quite general and is widely used in synthetic wave algorithms.The generalized reflection and transmission method takes an important role in this formalism,it can determine the complicate response of a series layers.Expansion in series of the reflection and transmission matrix can help us to deep understand the contributions of the multiple reflections and transmissions.
Quantum tunneling rate with second-order accuracy
. 2010, 29(10): 11-11.
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1214
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469
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The WKB method to calculate the tunneling rate with the second-order accuracy is used,a new expression for the quantum tunneling rate is obtained.
A tensor description of a rigid body motion with a fixed point
. 2010, 29(10): 12-12.
Abstract
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689
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868
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This paper describes a rigid body motion with a fixed point by rotated tensor and avoids the meted problem that when one describes a rigid body motion with a fixed point by angular displacement,namely,the attribute of it is different for finite and infinitesimal sizes.We also verify that both the angular displacement vector and rotated tensor can describe respectively the motion of an infinitesimal rigid body rotation with a fixed point.Both are equivalent.
A theorem about inertia of homogeneous rigid body with a symmetry plane
. 2010, 29(10): 14-14.
Abstract
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604
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348
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A new theorem about the moment of inertia of rigid body is proposed and proved.This theorem states that the inertia of a homogeneous rigid body with a symmetry plane is not concerned in any direction of the axis that lie in that plane,when the axis that lie in a plane which be perpendicular to the symmetry plane meet certain conditions.
An analyze about the mechanical problem of hooks
. 2010, 29(10): 17-17.
Abstract
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614
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653
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The force problem of hooks is analyzed,the characteristics of every hook and application are explained.
Application of Green＇s reciprocity theorem in solving electrostatic potential distribution of a uniformly changed ring
. 2010, 29(10): 20-20.
Abstract
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892
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492
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The Green＇s reciprocity theorem in a special case is obtained from the general Green＇s reciprocity theorem of electrostatic field.By employing the Green＇s reciprocity theorem in a special case,a number of solutions in different forms for electrostatic potential distribution of a uniformly changed ring are derived.
A simple deduction of spectrum position of the optical Fourier transform system
. 2010, 29(10): 24-24.
Abstract
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805
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440
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All kinds of optical Fourier transform systems are regarded as studying subjects when they are illuminated by different source of light.The conditions for location of its spectrum satisfied are deduced by optical transformation matrix and Collins formula.The derivation process shows that the present method is not only simple and convenient,but also can be explained clearly in the limited classroom time.
The application of Fibonacci method in physics experiments
. 2010, 29(10): 27-27.
Abstract
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654
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544
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The optimization problem of finding physical pendulum extreme value is a common issue in physics experiments.When fixed the searching direction,the superior and inferior of the one-dimensional searching is the key of solving the optimization problen.In many methods of using the function itself to direct searching,compared to the golden section method（0.618） we usually use to find the extreme value,use fraction method（Fibonacci）in optimization have higher efficiency and more precise result.
A frequent error in the standing wave experiment
. 2010, 29(10): 32-32.
Abstract
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635
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1087
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The cause and characteristics of three-dimensional standing wave in the standing wave experiment are analyzed,and the improvement proposals to the experiment are proposed.
Determination of the surface tension coefficient of liquid with the capillary tube probe method
. 2010, 29(10): 37-37.
Abstract
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1641
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2652
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In the experiment of determination of liquid surface tension by using capillary tube method,the electrically conductive character of liquid is used to realize the measurement of liquid capillary rise height by installing a metal probe,along axis,to the measuring rod of micrometer screw gauge and detecting both inner liquid surface positions of the capillary tube and the tank by means of electrical method.The capillary rise heights at a few different temperatures are measured respectively by the probe method.The Rayleigh＇s equation is used to calculate the surface tension coefficients.Experimental results have shows that the repeatability of probe method to measure capillary rise height is well,the percentage error of determined surface tension coefficient of distilled water is about 0.12% less than the recognized valuel.
A preliminary study on Hegel＇s time and space conception
. 2010, 29(10): 41-41.
Abstract
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1924
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1606
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Hegel analyzed and discussed deeply space and time in his book of Natural Philosophy.And he got the theory of his own about space and time.According to his theory,the space and time are both the pattern of existing and running of substance.Space can not be parted with the things contained in it and time is the course of real things.Space and time are consolidated and can not be separated,they are subjected to movement. The theory of Hegel is seemed to the transition of Newton＇s and Einstein＇s theory.It serves as a linking between past and future,so the theory has important history significance.
A new method for solving the quantization spectrum of the quanta system of H=5/3a＋a＋2/3（a2＋a＋2）
. 2010, 29(10): 47-47.
Abstract
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840
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504
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By analyzing,returning and transforming of the Hamilton H=5/3a＋a＋2/3（a2＋a＋2）,two new methods to derive the quantization spectrum of this quanta system are obtained.
Application of phasor method to AC bridge experiment
. 2010, 29(10): 51-51.
Abstract
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710
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1095
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The phasor method is one of the important ways to analyse sinusoidal AC circuit.The features of the method are simple,intuitive,and easy operable.With inductance-bridge and capacitance-bridge,the advantage of the phasor method in AC bridge balance analysis is described.The phasor method is used to AC bridge experiment,which will not only help students to consolidate the concept of phase volume,but also a deep understanding of the measurement principle of AC bridge.
Relativistic correction to the two-dimensional hydrogen atom
. 2010, 29(10): 55-55.
Abstract
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762
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(624KB) (
595
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The Dirac equation of the two-dimensional hydrogen atom is solved exactly.Relativistic energy levels and wave functions are obtained.The non-relativistic limit is discussed in detail.
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