Wave function is a complex function of its variables (红，t)=Aetr-E到 b(r,0,0,t)= Vrage e-fu 1 1.Dynamical equation governing the motion of micro-particle is by itself a equation containing imaginary number 2.The wave function describing the state of micro-particle must fit the general theory frame of quantum theory (operator formalism)-requirement of homogeneity of space This means,the symmetry under a translation in spacera,where a is aconstant vector,is applicable in all isolated systems.Every region of space is equivalent to every other,or physical phenomena must be reproducible from one location to another. A.Pose of the problem What kind of wave it is? Optics:Electromagnetic wave wave propagating 卫，0=功e(-2aw=%,可 Eo-amplitude-field strength Intensity Eenergy density 。Acoustic wave U(x,t)=oUoe(号-2r) Uo-amplitude-mechanical displacement Intensity Uenergy density ·Wave function (x,t)=Ae(r-2红叫）=Aer-B到) Wave function is a complex function of its variables ψ(x, t) = Ae i ~ (px−Et) ψ (r, θ, φ, t) = 1 p πa3 0 e − r a0 e − i ~ E1t 1. Dynamical equation governing the motion of micro-particle is by itself a equation containing imaginary number 2. The wave function describing the state of micro-particle must fit the general theory frame of quantum theory (operator formalism) - requirement of homogeneity of space. This means, the symmetry under a translation in space r → r+a, where a is a constant vector, is applicable in all isolated systems. Every region of space is equivalent to every other, or physical phenomena must be reproducible from one location to another. A. Pose of the problem What kind of wave it is? • Optics: Electromagnetic wave E(x, t) = ˆy0E0e i( 2π λ x−2πνt) = ˆy0E0 wave propagating z }| { e i(kx−ωt) E0 − amplitude → field strength Intensity E 2 0 → energy density • Acoustic wave U(x, t) = ˆy0U0e i( 2π λ x−2πνt) U0 − amplitude → mechanical displacement Intensity U 2 0 → energy density • Wave function ψ(x, t) = Aei( 2π λ x−2πνt) = Ae i ~ (px−Et) 8