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# Class41 - Todays class Finish our discussion on measurements Schrdinger's cat Quantum computer Schrdinger in 3D Q1 What does the probability

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Today’s class: • Finish our discussion on ‘measurements’ • Schrödinger's cat! • Quantum computer • Schrödinger in 3D What does the probability density of the particle look like immediately after you measure its position ? (assuming you have a non-destructive way of measuring particle – don’t destroy it, just measure where it is) | Ψ ( x , t )| 2 | Ψ ( x , t )| 2 A B Q1 | Ψ ( x , t )| 2 | Ψ ( x , t )| 2 C D E Could be B, C, or D, depending on where you found it. Measurement changes wave function: particle localized where you measured it, so if you measure it again, will probably find it in the same place. x x x x Electron in free space e - in free space after position measurement Second detector finds particle most likely Measurement changes wave function! e - in free space after double slit Detector array finds e - at specific location b change wave function Double slit: localizes electron b changes wave function Detector array#1 Detector array#2 at same location as detector#1 QT sim Measuring energy Suppose you have a particle in the state: where Ψ 1 (x,t) and Ψ 2 (x,t) are the ground state and first excited state of the infinite square well. What does the probability density, P(x,t), of this particle look like immediately after you measure its ENERGY? ) , ( ) , ( ) , ( 2 2 1 1 2 1 t x t x t x Ψ + Ψ = Ψ Ψ ) 2 Ψ x ) 2 Or another graph like this but shifted to left or right, Or similar but Q2 | ( x , t )| | Ψ ( x , t )| | Ψ ( x , t )| 2 | Ψ ( x , t )| 2 A C B D E

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## This note was uploaded on 08/24/2010 for the course PHYS 2130 taught by Professor Staff during the Spring '08 term at Colorado.

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Class41 - Todays class Finish our discussion on measurements Schrdinger's cat Quantum computer Schrdinger in 3D Q1 What does the probability

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