Jump to content

Cheat sheets/Quantum mechanical scattering

From Wikiversity

Schrodinger equation

[edit | edit source]

(Assume potential is radially symmetric)

If we put

then

Recall

[edit | edit source]

One important result

[edit | edit source]

Green's function

[edit | edit source]

Simple energy relationships

[edit | edit source]

Wavefunction

[edit | edit source]

Incoming:
Scattered:

Scattering Amplitude: f(k,φ,θ)

[edit | edit source]
Plane Wave:

Differential cross section

[edit | edit source]

Total cross section

[edit | edit source]