Plot 如何在Julia中绘制3D高斯的时间演化？

我想画一个三维高斯分布的时间演化图。 是sin（r）/r的表面版本代码。
所以我写了一个代码来引用它

using Makie  
using FileIO  
using LinearAlgebra  
using AbstractPlotting

scene = Scene(backgroundcolor = :black);  
f(x,y,z) = exp(-((x)^2 + (y)^2 + (z)^2))  
r = LinRange(-5, 5, 50)  
vol_func(t) = [Float64(f(x - cos(t),y - sin(t),z - t)) for x = r, y = r,z = r]  
vol = volume!(scene,r,r,r,vol_func(20),algorithm = :mip)[end]  
scene[Axis].names.textcolor = :gray  
N = 20  
scene 
record(scene, "voloutput.mp4", range(0, stop = 5, length = N)) do t  
    vol[3] = vol_func(t)  
end  

但是这个代码不起作用

MethodError: Cannot `convert` an object of type Array{Float64,3} to an object of type LinRange{Float64}

我应该如何修复代码

附加说明
初始时间的快照如下所示。（）

我想看到黄色区域呈螺旋状移动。（2020/08/28）

我刚刚意识到不是第[3]卷，而是第[4]卷。然后，它成功了。 但我还有一个问题。（2020/08/31）
我试着为你做同样的事情

这里，H（Lx，Ly，Lz）是一个由系统大小Lx，Ly，Lz和N=Lx×Ly×Lz参数化的N×N矩阵。H（Lx，Ly，Lz）的示例代码为。 那么

但是这个代码有一个错误

ArgumentError: range(0.0, stop=5.0, length=1): endpoints differ

错在哪里

我发现了错误。（2020/09/02）

然后，代码通过并获得mp4动画。
但在mp4文件中看不到绘图。为什么…

using LinearAlgebra
using OrdinaryDiffEq
using DifferentialEquations  
  
#Define the underlying equation
function time_evolution(ψdot,ψ,p,t)
  ψdot.=-im.*H(Lx,Ly,Lz)*ψ
end

Lx = Ly = Lz = 10
ψ0 = [] #  Initial conditions


for iz = 1:Lz
    for ix = 1:Lx
        for iy = 1:Ly                  
           gauss = exp(-((ix)^2 + (iy)^2 + (iz)^2))
           push!(ψ0,gauss)                           
        end
    end
end

tspan = (0.,1.0) #  Simulation time span


#Pass to Solvers
prob = ODEProblem(time_evolution,ψ0,tspan)
sol = solve(prob)

using Makie
using FileIO 
using LinearAlgebra
using AbstractPlotting
using ColorSchemes

x = 1: Lx  # our value range
y = 1: Ly
z = 1: Lz

ρ(ix,iy,iz,nt) = abs2.((sol[nt][(iz-1)*Lx*Ly + (ix-1)*Ly + (iy-1)])./norm(sol[nt][(iz-1)*Lx*Ly + (ix-1)*Ly + (iy-1)]))
ψ(nt) = Float64[ρ(ix,iy,iz,nt) for ix in x, iy in y,iz in z]
scene = Scene(backgroundcolor = :white)

c = ψ(length(sol.t))

vol = volume!(
scene,
x, y, z,          # coordinates to plot on
c,                # charge density (functions as colorant)
algorithm = :mip, # maximum-intensity-projection
colorrange = (0,0.01),
transparency = true,
)[end]

update_cam!(scene, Vec3f0(1,0.5,0.1), Vec3f0(0))
scene[Axis].names.textcolor = :gray # let axis labels be seen on darkbackground

record(scene, "output.mp4", range(0, stop = length(sol.t)-1, length = 1)) do nt
    vol[4] = ψ(nt)
end

ArgumentError: range(0.0, stop=5.0, length=1): endpoints differ

sol[nt]→sol(nt)
range(0, stop = length(sol.t)-1, length = 1)→range(0, stop = 1.0, length = 20)