class39 - Todays class Superposition States Measurements...

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Today’s class: Superposition States • ‘Measurements’ Summary: 1D Schrödinger ) ( 2 2 x ψ h Traveling waves Bound states (Eigenfunctions) Tunneling ) ( ) ( ) ( 2 2 x E x x V x m ψ ψ = + Ψ (x,t)= ψ (x) e -iEt/ħ Various kinds of scanning microscopes STM: Scanning tunneling microscope Sensing mode: electron tunneling (current) Pros: • Exponential z- dependence barb2right highest resolution Cons: Cannot zoom out (hard to find area of interest) Sample needs to be conductive Sensing mode: electron scattering (elastic or inelastic) Pros: Can zoom out (6 orders SEM: Scanning electron microscope of magnitude) Rapid scanning Cons: Sample needs to be conductive and grounded to avoid static charge Limited resolution (~nm) Can only measure conductive samples? No Problem!! Anything can be made conductive! Even spiderselipsis
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Sensing mode: Coulomb or ‘van der Waals’ force Pros: Works on any surface AFM: Atomic force microscope Cons: Limited resolution Sensing mode: Optical near field (light scattering) Pros: NSOM: Near-field Scanning Optical Microscope Works on most samples • Non-contact Cons: Limited resolution
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