Week 10 Uncertainty Principle & Schrodinger Equation Flashcards
what is the Uncertainty principle equation
ΔxΔp = αh(bar) / 2
when is the uncertainty principle used
when α is unknown
what is the energy-time uncertainty relation equation
αh(bar) / 2 = ΔEΔt
what is the procedure to find frequency of a photon using the energy time uncertainty
1 say Δt is very large so that the photon could be anywhere so we can find p
2 use the momentum to find E
3 recall that E = hf so hΔfΔt ~ h(bar) => ΔfΔt ~ 1
what can the Schrodinger equation be used for
it can be used to derive Ψ
what does the time independent Schrodinger equation refer to
the Schrodinger equation that works/corresponds to particles of definite energy
what is the Hamiltonian of a system and its accompanying equation
Total energy of a system
H = p^2 / 2m + V
V is the potential energy
what is the time independent Schrodinger equation
EΨ(x) = ( -h(bar)^2 / 2m d^2/dx^2 + V(x) ) Ψ(x)
How do V and Ψ relate to each other
If V is infinite then Ψ must be 0
If V is 0 then Ψ can be found
why is energy quantised
because λ is quantised due to the general equation
λ = 2L/n , where n is the energy level
