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