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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what did Young determine was a property of light and how

light is a wave
double slit experiment


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)


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.


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

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


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


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

we make Ψ the modulus of a complex number


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


what is true of modulus Ψ

I Ψ I is constant


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

IΨI^2 = Ψ*Ψ = prob dist


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


what is the equation for finding < x^n >

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


what is the uncertainty in position equation

σ = sqrt[ - ^2 ]