Wave
Plot of real part and imaginary part of a complex wave
animation (time evolution of the wave)
Wavepacket with linear dispersion ω(k)=k
Under a nonlinear condition ω(k)=k+
Partial differential equations (1+1 dimension)
Let us compare various differential equations
Diffusion equation
Wave equation
Schroedinger equation
Schroedinger equation with initial velocity and potential
Partial differential equations (1+2 dimension)
2D
Schroedinger equation with initial velocity and w/o potential
Schroedinger equation w/o initial velocity (long-term)
Wave equation and Klein-Gordon equation
Schroedinger equation with potential
Back to the 1D Schroedinger equation
Tunneling and Transmission coefficient
Transmission coefficient versus energy
Double wall potential
Solve the equation for various energy e0
The double slit problem
Scattering the wavepacket by surface atoms (1D surface!)
