Week 10 Uncertainty Principle & Schrodinger Equation Flashcards Preview

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Flashcards in Week 10 Uncertainty Principle & Schrodinger Equation Deck (10)
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1

what is the Uncertainty principle equation

ΔxΔp = αh(bar) / 2

2

when is the uncertainty principle used

when α is unknown

3

what is the energy-time uncertainty relation equation

αh(bar) / 2 = ΔEΔt

4

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

5

what can the Schrodinger equation be used for

it can be used to derive Ψ

6

what does the time independent Schrodinger equation refer to

the Schrodinger equation that works/corresponds to particles of definite energy

7

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

8

what is the time independent Schrodinger equation

EΨ(x) = ( -h(bar)^2 / 2m d^2/dx^2 + V(x) ) Ψ(x)

9

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

10

why is energy quantised

because λ is quantised due to the general equation
λ = 2L/n , where n is the energy level