The solution (wave function) of Schrodinger’s equation is used to describe the motion of a quantum. Max Born treated the square of the absolute value of the wave function as the probability of a quantum appearing at any given point. With this statistical interpretation of a wave function, the physical meaning of the whole quantum theory becomes clearer and more understandable. The development of wave function is based on the De Broglie’s postulate: there is a matter wave related to an object. If wave functions can be explained with the statistical interpretation, then matter waves could simi-larly be explained with statiscal interpretation. This assump-tion is confirmed by deriving the Heisenburg uncertainty rela-tion through mutilplying the matter wavelength of an object Concepts of Physics, Vol. III (2006) 1 with the light wavelength of measuring medium. This new approach may offer another view to look at the reality of M. Born’s statistical interpretation of the wave function solution of Schrodinger’s equation.
In this paper, we propose a new space-time structure that is the three-dimensional time structure by comparison to the three-dimensional space. These two space-time structures are completely symmetrical. We improve the Maxwell equations in the new space-time structure by adding a new set of equations. The new set of equations has the space-time symmetrical structure by comparison to the old one. We can also obtain another type of wave equation by solving the hyper-symmetric Maxwell equations. The new wave equation contains both time and space coordinates. The general solution of this new wave equation can be divided into two parts. One part corresponds to the free particles, which means the localized electromagnetic wave or virtual photon. The amplitude of the localized electromagnetic wave will decrease exponentially when the distance from the mass center increasing. Another part of the general solution corresponds to the bound state of the particles. The equation of the localized electromagnetic wave in bound state is consistent with the Schrodinger’s equation. So we can draw the conclusion that the Schrodinger’s equation is just a special case of the localized electromagnetic wave equation. We can get the new interpretation of the wave function in quantum mechanics based on these analyses. The new interpretation shows that the essence of the wave function in quantum theory is the localized electromagnetic wave or virtual photon. So we can solve the problem of the collapse of the wave function based on the new interpretation. In order to proof the correctness of the localized electromagnetic wave or virtual photon, we apply it to solve the problem of Helium atom’s ground state energy. The theoretic calculation results are very satisfactory. Our calculation shows that the theoretic value of Helium atom’s ground state energy is -2.9033864868188(69)a.u., which is very close to the experiment results.