Week 8 Intro to Quantum Physics & The Wave Function Flashcards Preview

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Flashcards in Week 8 Intro to Quantum Physics & The Wave Function Deck (12)
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1

what did Young determine was a property of light and how

light is a wave
double slit experiment

2

what do we now know about Young's double slit experiment for light

although light does produce the light and dark regions that would be expected by a wave these regions are built up dot by dot from the light particle (photon)

3

what does the double slit experiment allow us to say about the position of individual particles

we can't predict where a single particle will end up only the probability that we will find it there.

4

what is the de Broglie wavelength equation and why is it important

h = λp
it is important because it is true for all particles

5

what does the wave function tell us and what denotes it

the likelihood of a particle being at a point. It is denoted by Ψ

6

what must be done to Ψ in order for it to be made useful

we make Ψ the modulus of a complex number

7

what is the general exponential equation for Ψ and its trigonometric counterpart

Ψ ∝ e^ikx = cos(kx) + isin(kx)
k is the wavenumber = 2pi/λ

8

what is true of modulus Ψ

I Ψ I is constant

9

what does Born's rule tell us for IΨI^2 in equation terms

IΨI^2 = Ψ*Ψ = prob dist

10

what do we do to Ψ to find the probability of finding it and how is this done

we normalise it
this is achieved by making the integral of IΨI^2 with limits infinity and negative infinity = to 1

11

what is the equation for finding < x^n >

< x^n > = ∫ x^n IΨI^2 dx
with limits @ pos and neg infinity

12

what is the uncertainty in position equation

σ = sqrt[ - ^2 ]