The Principal of New Quantum Mechanics of 21th Century and Its Application

        In this paper, after reviewing historical experiments of Double Slit, Blackbody Radiation, Photoelectric Effect, X-Ray Diffraction and Electrons Scattered, authors think that all the experiments indicate that a quantum, photon or electron, is just a particle with mass, m, and this particle propagates in the form of wave in space. This foundation of new quantum mechanics is different from the wave-particle duality proposed by Louis de Broglie.

        The wave propagation equation of quantum can be expressed as 

            (∂^2 ψ(x,t))/(∂t^2 )=u^2  (∂^2 ψ(x,t))/(∂x^2 )                                               (1)

ψ(x,t) is displacement function and  u is velocity of wave phase.

        Per (1) and Hamiliton-Jacobi Equation, Schrödinger Equation of displacement function can be derived as follows:

            (-h^2/2m)* (∂^2 ψ(x,t))/(∂x^2 )+ψ(x,t)V(x,t)=ih (∂ψ(x,t))/∂t                          (2)

 h is Plank constant,  V(x,t) is potential function.

        From (2), the fundamental quantum momentum equation can be obtained:

           (-h/2)* (∂^2 ψ(x,t))/(∂x^2 )+mψ(x,t)V(x,t)/h=ip                                             (3)

p is the momentum of quantum.

        Based on (3), Heisenberg Uncertain Principal can be derived that

                           (-h /2) 1  h ̅  is a generalized Plank constant.

        The collapse of wave function in Double Slit Experiment can be perfectly explained by Equation (3). The equation shows how to shorten the charging time of EV battery. Yuji Hasegawa & Masanao Ozawa experiment result supports Equation (3).