Free particle Flashcards
1
Q
Free particle condition
A
V(x) = 0, particle has no potential energy wherever it goes
2
Q
Turns schrodinger into a;
A
second order differential equation
-((ℏ^2)/2m) * d^2Ψ/dx^2 =EΨ
3
Q
General wavefunction for free particle
A
Asin(kx+phi)
4
Q
Work through for free particle
A
Calculate 2nd order derivative as a function of Ψ, substitute this into equation then divide through by Ψ.
Solve for k showing it can be any value so E is not quantised.
5
Q
How to find De Broigle from free particle
A
For 2pi wave, k (our frequency) = 2pi/λ
Rearrange for λ and multiply by k found from earlier in Q, remember p =(2Em)^1/2
6
Q
A
