Computational physics，as the third method of studying physical phenomena and laws
alongside the- oretical and experimental physics，has become more and more important with
the rapid development of computer technology and continuous intercross of
disciplines. However， due to the relatively late development of computational physics
and some of its own discipline characteristics，there is no mature teaching system for under-
graduate and graduate courses. In this article the exploration andpractice of concerted
construction of undergraduate and graduate computational physics courses in Beihang University
are mainly introduced. Undergraduate course is positioned to master the basic theoretical
knowledge of computational physics as well as the case practice to solve physics
problems. The undergraduate course teaching is small-sized. The graduate course is positioned on
the solid professional basis and broad knowledge structure of computational physics，highlighting
the professional and cutting-edge of the contents，and emphasizing the importance of the practical ability and the independent
capability in sci- entific research. The graduate course offers parallel courses based on the student’s major. The exploration and prac- tice of concerted construction are carried out mainly from the course content，teaching method，and assessment method to ensure continuity and unity of graduate and undergraduate courses.
solitons motion in some external potentials. The focus is the solitons with zero initial
velocity，which exhibit different behaviors in po- tential wells and barriers，and the results are
that the barrier repels solitons and the potential well attracts solitons. These conclusions are
verified by numerical simulation.
Starting from the simplified mechanical model of the earth-moon system，the dynamic
equations of the surface object in different coordinate systems are derived strictly，and through
the analysis of symmetry，the tid- al force is obtained，which is helpful to understanding of the
tidal force and the cause of tide.
Quantum tunneling effect has important applications in practical technology. In
this paper，it is shown how to calculate the transmission coefficients of one-dimensional
asymmetric and symmetric double square potential barriers with the arbitrary boundary.
Then we study the dependence of the transmission coefficients for symmetric double square
potential barriers on the barrier width，the spacing between the two barriers and the ratio of the
incident energy of microscopic particles to barrier height ( E / U₀) . Finally，the results show
that the transmis-sion coefficient decreases from the maximum value 1 to the minimum value 0 with the increase of the
barrier width. Moreover，the transmission coefficient oscillates periodically with the increase of
the barrier spacing. The analytical expression of the barrier spacing corresponding to the maximum
transmission coefficient is derived，and the period of oscillation is given，which is equal to
the de Broglie wave length of the microscopic particle. When the barrier width is
smaller，the transmission coefficient is easier to reach and keep the maximum value 1 with the
increase of E / U₀. When the spacing of the double potential barriers is larger，the oscillation
period of the transmission coeffi- cient is larger，while the oscillation amplitude becomes
smaller，with the increase of E / U₀. Therefore，the particle is easier to realize resonant
tunneling in this case.
Using quantum theory derivation and numerical calculation methods，the diagram and model
of one- dimensional potential box function are firstly obtained. Then the wave function，energy
level and probability density of N-dimensional potential box functions in quantum mechanics are
studied comprehensively and systematically. Fi- nally，all characteristics of the potential box
functions are simulated using MATLAB software. We find that the ener- gy of particles is quantized
and discontinuous in N-dimensional potential box. The quantum number n cannot be ze- ro，and the
higher the quantum number n is，the higher the energy level is，while the higher the mass
m is，the lower the energy level is. Generally，the larger one-dimensional potential box length a
is，the lower the correspond- ing energy level is. The number of nodes is N-1，and the more
the nodes are，the shorter the wavelength is，the higher the frequency is，the higher the energy
level is. For two-dimensional potential box function，the number of peaks is nₓ ×ny ，and the
intersection numbers of wave function and a plane of Ψ = 0 is nₓ ×ny ，too. For degeneracy， in
general，the degeneracy of particles in the two-dimensional potential box model is uncertain. But
for the two di- mensional square potential box function model，the energy level degeneracy of the
particles in the box can be divid- ed into general and special cases. The degeneracy of
three-dimensional potential box function are nx +ny +nz . The vi- sualization results are in
complete agreement with the theoretical results. Finally，the color function of MATLAB
software is firstly used to realize the four-dimensional representation，and the four-dimensional
slice diagram of the three-dimensional potential box function are obtained. The results of
this visualization are in complete agreement with the theoretical results，and it is also of
great significance for the understanding of the abstract concept.
This paper discusses several problems in the teaching of relativity，including
questions in common examples，convenient form of Lorentz transformation，discussion on the example
of simultaneous relativity in another frame of reference，the phenomenon of length measurement seen
in another reference frame，delay of time and the time of each point in the motion reference frame
are different，and a simple derivation of Doppler effect of light is preformed. Through the
discussion of different processes in different reference systems，master the method of discus- sing
problems in motion reference frame，and the different performance of the same process in
different inertial frames，the measurement results of all phenomena remain unchanged under Lorentz
A pure rolling double steel ball collision experiment is carried out on a wide
and narrow horizontal rails，and it is found that it is significantly different from the double
steel ball collision experiment in sliding motion; the reason is that the collision of the pure
rolling double steel ball is the frontal and tangential collision at the colli- sion point. The
two types of collisions obey different dynamic laws; after a collision，the motion state of the two
steel balls is no longer pure rolling. To return to pure rolling，each steel ball must pass through
the interaction between it- self and the guide rail. The effect is to go through a self-adjusting
stage; the energy loss in the self-adjusting stage is related to the rolling radius of the steel
ball and the deviation of its immediate state from pure rolling.
This paper analyzes and calculates the influence of the pendulum angle，the rotation of
the ball，the mass of the suspension line，the air buoyancy and the air resistance on the period of
the pendulum one by one. Tak- ing a 1 m length and 5° swing angle small amplitude pendulum as an
example，the relative errors of the five factors are
+0.45‰，+0.02‰，-0.45‰，+0.07‰，-0.14‰，respectively，and the total is only -0.05‰，which means that the
five error factors almost cancel each other，and the systematic error of the small
pendulum experiment is very small in theory. This paper gives a more detailed
reasoning，calculation and analysis process，especially the reasoning process of air resistance
moment，as well as charts and tables，for providing a more complete and accu- rate
understanding. Finally，some necessary explanations are given in view of some possible deficiencies
in people's understanding of air resistance.
In this paper，we propose a fingerprint lock that combines fingerprint verification
and optical holo- graphic encryption. It is placed in front of the IC chip of the smart card to
pre-encrypt and authenticate the user's PIN code，and strongly enhances the protection of
smart-card. Actually，the proposed fingerprint lock uses the fin- gerprint image as the key and
records the angle multiplexing optical encrypted hologram in the photorefractive crystal
material. This kind of hologram is different from the traditional angle multiplexed volume
hologram. Its refer- ence light has both amplitude modulation of fingerprint image and random phase
modulation. It has the advantages of good privacy，convenient carrying and high security.
Numerical simulations confirm the validity and safety of pro- posed technique.
In order to solve the real problems of teaching college physics monotonously，and too much
emphasis on knowledge itself but not the ability and quality during the assessment，our teaching
paradigm has been changed from teacher-centered to student-centered. Based on the smart
classroom and the Wisdom Tree platform，a new smart learning environment of internet plus
education has been established. The physics curriculum has been inte- grated with the
ideological and political elements，resulting in a new knowledge-application cutting-edge-contentcurriculum system，which also highlights the feature of energy and power industry. It also encourages the student to construct the knowledge system independently and learn deeply by group teaching approach based on real tasks，as well as the emphasis on the individual learning experience. A comprehensive evaluation system has been built to promote the overall development of knowledge，abilities，and qualities of students. The design of the system is result-oriented，featured with a combination of both formative and summative，and of qualitative and quantitative measures.
It is of great significance and imperative to strengthen political and ideological
education in teaching. In order to deepen the teaching reform of college physics，the teaching
design of ideological education is carried out under the blended learning mode by using the
effective teaching method based on the traditional teaching and aiming at knowledge goal.
Through the design and practice of on-line，off-line and examination，combining the lec- ture of
ideological education by famous teachers，the course mode of ideological education is formed.
The applica- tion of this model takes the first chapter，particle mechanics，as an example. The
practice shows that the education quality is improved.
College physics is an important public fundamental and compulsory course for students
who major in science and engineering. In this paper，by combining the new engineering education
with times characteristic，col- lege physics teaching of Tianjin Chengjian university is taken as an
example. A series of exploratory teaching inno- vation reform are carried out，and the innovative
effect and the existing problems of pain point are summarized and analyzed. An effective way is
explored to cultivate architectural talents with solid physical skills.
In this paper，the basic equations of motion of coins under different
conditions are derived. The problem of the coin's motion around a circle is analyzed，and two
special modes of motion are discussed using the results，which are finally verified via
experiments and numerical simulations.
Based on the electromagnetic induction method，the distribution of Helmholtz coil
magnetic field under different capacitance parameters is measured by the improved method of
achieving resonance with the Helm- holtz coil in series，and the relationship between the magnetic
field of Helmholtz coil and the position of central axis is analyzed by using Origin software. The
experimental results show that the accuracy of the magnetic field of Helm- holtz coil measured by
the improved method is higher than that by the traditional electromagnetic induction method to a
certain extent. Among the three capacitor options，when the series capacitance is 0.099×10-⁶ F，the
accuracy is the highest. The fitted relationship between the magnetic field of Helmholtz coil and the
position of the central ax- is is basically consistent with the theoretical formula. The experimental effect of the improved method is obvious，the accuracy is high，and it is scientifically feasible. It is an improved method for measuring the magnetic field of Helm- holtz coils that is worth popularizing.
In this paper，the optical-fiber temperature sensor experiment is modified by using a
cheap commer- cial fiber splitter at 1310 nm and aluminum foil for thermal conducting. The
temperature coefficient is measured and found to be more stable after improvement. Also，the
conducting condition can infect the temperature coefficient a lot. At last，teaching
suggestion is proposed.
Ising model is a widely used magnetic spin interaction model. It is very complicated to
solve the ana- lytic solution in 2-D case. In practical application，Wolff algorithm is usually
used to simulate the Ising model and it is considered to be the best clustering flipping Monte
Carlo algorithm. Metropolis and Swendsen-Wang algorithms are similar to Wolff algorithm，and
theoretically they are also applicable to the simulation of Ising model. So far， there
is no paper has compared the three algorithms to show the advantages of Wolff algorithm，and there
are few in- troductions of Monte Carlo algorithm in undergraduate courses. In this paper，we use
these three algorithms to simu- late 2-D Ising model and introduce the principle，parameter
selection and implementation of the algorithms. In the end，we compare the simulation effect and
application range of the three algorithms，and summarize the reason why Wolff algorithm has better
effect in the simulation of 2D Ising model.