It extends the correspondence principle to the physical picture of microscopic system and the existance form of the space,thus confirms the truthfulness and the objectivity of microscopic particle.

All the systems in nature including physical system, chemical system, biological system, microscopic particle, and celestial body in astrospace exhibit nonlinear dynamic behaviors.

the unification calculation of four interaction strength is done by using planck mass and the result tallies with the often used value; the velation between cosmoscopic heavenly bodies and microsopic particles is given out by means of Planck mass and length; and the calculation of mass and radius of cosmoscopic heavenly body and microscopic particle is unified,which also tallies with experiment.

The variation of microscopic particle velocity distribution function and sequential macroscopic variations of characteristics including mean velocity of particles, peculiar velocity of particles and vertical distribution of particle amount per unit volume are discussed respectively.

The results illustrate that the looser particle structure of the resins,the lower temperature to breaking the grain into agglomerate and primary particle as well as of sticking these microscopic particle together until the molecular melt is formed,and the lower melting temperature and faster rate of extrusion of their plasticized systems.

It is pointed out that the momentum is formed by the position probability current of a microscopic particle and the mechanical quantities of position (x 1) and momentun (p 1) cannot be measured simultaneously.

The same microscopic particle image is de-noised by the proposed method and two conventional methodsand the de-noised images are segmented with watershed algorithm.

The FHP-type lattice gas model has been extended to include a bidirectional random walk process, which allows well-defined statistical quantities, such as velocity and magnetic field, to be computed from the microscopic particle representation.

Kinetic equations for microscopic particle distributions are constructed.

We establish an exactly solvable toy model according to which the stationary states which characterize such a situation have negative entropy production and are accompanied by instabilities of the microscopic particle motion.

Such an energy distribution process appears obvious on the quantum theory of observation and measurement which relates the energy of a microscopic particle with the time required for its determination through the Heisenberg's uncertainty relation.

It was shown earlier that during quantum mechanical tunnelling, a microscopic particle has a distributed probability of emission about its original energy and is not constrained to be field-emitted only at its initial energy.

The,requir ements of the nossibility of expressing a function f(x)as a Fourier integral (one of the Fourier,transforms )as f(x)=eikx dk are (a)f(x)shall satisfy,the Dirichlet conditiondx must converge,.But when the transforms are used in solving boun-dary value problems,f(x) is,usually;the unknown to be found.So on thevery start it is impossible to test whether or not f(x) satisfies theconditions (a) and ( b) These difficulties call,however,be overcome if wa use the Fourier transforms together with physical...

The,requir ements of the nossibility of expressing a function f(x)as a Fourier integral (one of the Fourier,transforms )as f(x)=eikx dk are (a)f(x)shall satisfy,the Dirichlet conditiondx must converge,.But when the transforms are used in solving boun-dary value problems,f(x) is,usually;the unknown to be found.So on thevery start it is impossible to test whether or not f(x) satisfies theconditions (a) and ( b) These difficulties call,however,be overcome if wa use the Fourier transforms together with physical intuitions. As it stands,g(k)eikxdk is a superposition of plane Waves travelingin the positive X-direction.These,plane waves are different in Wavelengths and different in amplitudesw hich are different for different wave lengths as well.In this sense,f(x) may be called the wave packet of these plane Waves The same,is true for Fourier transfoms of threevariables except that the direction of propagation of the plane waves isPalong the normal of the plane k r=constant.With f (x)as the Wave pa cket in mind,when we attack problems of wave nature,we guess Fourier trans forms rnight be used with advantage without worrying about Whether f (x) fulfils the above conditions ( a.) and (b).This conjecture is born out by tests on the solutionsof vibrations of a string,a membrane,sound waves,heat conduction,electromagnetic waves,diffusion of neutrons,transport of neutrons,etc,as given in section B.The "wave natue implies of course both the macroscopic wave motions the mselves and the microscopic particle movements.In the la.tter case,aswe need not consider the annoying question of the,convergence of the absolute integral of f (x),Fourier,transforms prove to be a muchmore admirable tool in modern physics.

归纳运用的经验,参以物理的观点,求得应用富利叶(Fourier)变换处理问题较便的方法

Quantum mechanics, which is based upon the special physical postulation, is a special physical theory what was built up according to the concept of dualism of microscopic particles. It is evident that the quantum theory of high energy . particles should satisfy the framwork of the special theory of relativity. But it is incorrect, however, to derive the quantum mechanics by omission of the physical assumption of the wave view of naicrascopic particles, while merely by pure mathematical technique,...

Quantum mechanics, which is based upon the special physical postulation, is a special physical theory what was built up according to the concept of dualism of microscopic particles. It is evident that the quantum theory of high energy . particles should satisfy the framwork of the special theory of relativity. But it is incorrect, however, to derive the quantum mechanics by omission of the physical assumption of the wave view of naicrascopic particles, while merely by pure mathematical technique, and hereby to assert that "the quantization of the microscopic world is simply an effect of the relativistic space-time."

In this paper it has been illustrated that inside the organism except for the common transformation of electrons and protons,there is also a visible phenomeno—tunnel effect of microscopic particles,The calculated results from tunnel effect fit closely to those achieved in our experiments,strongly suggesting that the application of the quantum mechanics principle to life sciences shauld play a very important part in their devolopment.