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Table of Content
20 September 2014 Volume 33 Issue 9
著者文摘
Constructing new quantum mechanics representations by virtue of IWOP technique
. 2014, 33(9): 1-1.
Abstract
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803
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716
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Based on the Gaussian integral forms within normal ordered product of the completeness relations of coordinate representation, momentum representation and coherent representation, a new quantum mechanics representation is elaborated. Furthermore, the constructing of some concrete representations such as coordinate representation, momentum representation and coherent representation is discussed.
The phase wave and the theorem of phase harmony of a uniform motion particle
. 2014, 33(9): 5-5.
Abstract
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965
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(480KB) (
779
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The train of de Broglie＇ s phase wave theory of uniform motion particle is introduced and explained. Another way to the phase wave theory of uniform motion particle is given. On basis of the phase wave expression of uniform motion particles, phase invariance is discussed and proved. Then according to phase invarianee, de Broglie energy-frequency relation and special relativity theory, the angular wave number of the static particle equal to zero is deduced,and then the de Broglie momentum-wavelength relation, the phase velocity formula, and even the conclusion that the group velocity equal to the particle velocity are deduced. Broglie＇ s theorem of phase harmony and its applications, and clarified some false rumor about de Broglie are introduced.
Gauge transformation approach of time-dependent quantum system and application
. 2014, 33(9): 9-9.
Abstract
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789
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549
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A gauge transformation approach is used to resolve the Schrodinger equation for time-dependent quantum systems. We first make use of this method to solve the known model of spin 1/2 system in a rotation magnetic field. Second, we apply the approach to a laser-driven two-level system. We calculate the high-order approximation and nonadiabatic effects of the system, through this method of successive approximation we realize the transition of adiabatic solution to the strict solution.
Research on the rotational interia of fractal body based on the iteration method
. 2014, 33(9): 11-11.
Abstract
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881
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(349KB) (
553
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The rotational interia about a fixed axis for body with fractal form is discussed. The figure enclosed by the Koch snowflake curve is used as an example, the iteration alogrithm and the formula are given for the figure＇s rotational interia about a horizontal fixed axis through the centroid. The obtained result is in agreement with the accurate result. The presented method has normalized steps, and it is convinent for programming. The proposed method can also be applied to the extension of other fractal figures.
Relation between the work and energy in stable forced vibration of a spring
. 2014, 33(9): 15-15.
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1100
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(432KB) (
499
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Based on the work-energy principle, a concise method for analyzing the relation between the work and energy in stable forced vibration of a spring is proposed. The key points are as follows. Expressions for the works done by the driving force and by the damping force are derived firstly; the properties of the total work done by the external forces are then examined; the relation between the work and energy is analyzed finally.
Study of the free vertical vibration of double spring oscillator
. 2014, 33(9): 20-20.
Abstract
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891
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489
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The free vibration along the vertical direction of the symmetric double spring oscillator is studied by using numerical simulation method. The regularity which the properties of the vibration change with the system parameters and the amplitude is revealed. This work enrichs the study of spring oscillator.
A good example not only revealing the principle of relativity but also relativity of electromagnetic fields
. 2014, 33(9): 24-24.
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791
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495
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The relative motion between a bar magnet and a conducting ring is considered to be an example, we firstly discuss the difference of electric and magnetic field in the magnet and the ring reference system. Also, starting from Lorentz force which is the nature of motional emf in the magnet reference system, we deduce Faraday＇s law of induction. Then we directly give the mathematical expression of the property of induced electric field by using the principle of relativity and in-depth discussion of the relation between the electric field and the magnetic field in the ring reference system. Finally, we present and simple analysis different consideration of Einstein and Feynman on this issue.
Applications and extension of statistical physics approach in a model with discrete variables
. 2014, 33(9): 27-27.
Abstract
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715
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(436KB) (
488
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A type of model with discrete variables is proposed. Based on the model and the maximum entropy principle, applications of statistical physics method are discussed in thermodynamical systems. The model is able to be extended to other non-physical systems composed of lots of elements, such as financial system and social production system. The probability distribution function obtained from the maximum entropy principle can be applied to equilibrium and non-equilibrium stationary system with the same boundary.
A new data processing method for Millikan oil-drop experiment
. 2014, 33(9): 32-32.
Abstract
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900
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(330KB) (
855
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Starting from the elementary charge reductio ad absurdum, through the analysis of its errors and discussing, a new data processing method for solving e values of the elementary charge using the logarithmic is proposed. The calculation results for a large number of experimental data samples show that this method can effectively reduce errors in data processing, and improve the measurement precision for e values of the elementary charge, data processing accuracy improved by about one order of magnitude compared with the elementary charge reductio ad absurdum.
Measurement on the angular correlation of 60 Ni cascade transition
. 2014, 33(9): 35-35.
Abstract
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936
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(338KB) (
589
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Based on the experiment platform we designed, the angular correlation between the γ rays （1173. 3keV and 1332.5keV） from 60Ni cascade transition is measured by the NaI and LaBr3 detectors. According to the actual experiment situation, the theoretical value is modified. It is shown that the modified value and the experimental value are in agreement well, namely, the transition form we confirmed from experiment is just the actual one. It is proved that our equipment and method are effective and can be applied to analogous experiments on γ cascade transition. This experiment is helpful to get students further understanding on γ transition.
Search for the conceptual origin of the gravitational lensing
. 2014, 33(9): 38-38.
Abstract
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717
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(657KB) (
540
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We begin with the question 1 in the Newton＇s 《optics》 which is widely quoted by academia. Then we review the contributions on quantifying the gravitational deflection of light from the Mara, Cavendish, Soldner, Einstein, and so on. After that, we introduce the valuable work on the concept of gravitational lensing from F. Link. We find out the earliest evidence on the bending of light due to gravity and confirm the conceptual origin of the gravitational lensing. Furthermore, we clarify the truth of the conceptual origin of the gravitational lensing and present a true history of this discovery process.
Attempt of combining knowledge of hydropower plant into college physics
. 2014, 33(9): 44-44.
Abstract
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658
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(378KB) (
428
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Nowadays, college physics as the public fundamental course is not closely related to students＇ specialized courses. The author gives some examples of introducing the knowledge of hydropower plant in college physics and also shares thoughts and acquisitions.
Rolling motion of two- circle- roller
. 2014, 33(9): 47-47.
Abstract
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801
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(256KB) (
373
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The rolling motion of two intersected circlers on the ground can be described as combination of displacement of center of mass and rotation about center of mass. The geometric description of rotation and the equation of motion are given. The trajectories of contact points are drawn from the numerical solution.
Dynamics of ＂flying chimney＂
. 2014, 33(9): 50-50.
Abstract
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1000
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346
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Abstarct： ＂Flying chimney＂ means that a light paper tube can take off when it is lit at the up part. The kinetic parameters are firstly determined according to the air thermodynamic principles and the preliminary experiment. Meanwhile, a theoretical model is established based on Newton＇ s law of internal friction and the differential equation of fluid flow characteristic parameters. Furthermore, the main dynamic parameter ＂frontal resistance＂ is quantitatively investigated by the experiment and its effect on the tube rising is discussed. In addition, a new method is developed for calculating ＂frontal resistance＂. The experiment of ＂flying chimney＂ is simple, which can not only be used as a design experiment on college physics teaching but also can thus explain the thermodynamic phenomena in daily life. Key words ： ＂flying chimney＂ ; frontal resistance ; paper tube ; dynamic parameter
Solitary wave in a mechanical system： numerical and experimental studies
. 2014, 33(9): 54-54.
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815
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473
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A mechanical system that possess solitary wave is studied. We model the dulums, in which the dynamic equation can be derived accordingly. Then we carry out system as N coupled pennumerical simulation with MATLAB. The simulation shows that the system permits three types of solitary wave solution. Moreover, the calculated velocity of solitary wave is in agreement well with the experimental measurement, which verifies the validity of our model.
Field energy spectrum shell structure of the isotropic charged harmonic oscillator in the uniform magnetic
. 2014, 33(9): 59-59.
Abstract
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808
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(863KB) (
447
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The two-dimensional and three-dimensional isotropic charged harmonic oscillator＇ expression levels in the uniform magnetic field are deduced. Mathematica software programming is used to get the figure of its shell structure. Finally, the figure is explained and discussed.
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