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39 Heisenberg

# 39 Heisenberg - Logistics Two surveys Approaches to physics...

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Craig Ogilvie Logistics § Two surveys Approaches to physics: Learning module, extra credit ClassClimate course evaluation § Final Tue May 3, 4:30-6:30pm Single A4 piece of paper for the final » can be written on both sides Rooms posted on Blackboard Review Sunday May 1, 7-9pm in Room 3 11

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Craig Ogilvie Craig Ogilvie 2 Summary Lecture 38 distant source e- interference pattern controlled by the field/wave characteristics of each electron Interaction with the screen controlled by the quantized characteristics of the electron Electron is a quantized wave of a matter field, l=h/p Light is a traveling wave of an E/B field Energy comes in discrete bundles, quanta, “photons”, energy=hf
Craig Ogilvie Goal § Models/paradigms approximately describe nature § Models embody ideas defined by mathematics » wavefunction description of wave/field of each electron 33

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Craig Ogilvie 44 Model description of electrons + light electrons light Quantized matter field both wave-like and particle properties Math: wavefunction y(x,t) l=h/p particle model Math: F=ma etc applicability d >> l wave model Math: dsin(q)=ml applicability d~ l Approx description Approx description More complete model
Craig Ogilvie 55 Recall What We Learnt From Light § Two slits, E/B fields from each slit add 2 1 E E E + = 2 2 1 2 E E E Intensity + = general property of all waves total amplitude , sum of two or more each with a phase intensity is square of total amplitude

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Craig Ogilvie 66 Beam of Electrons Incident on Double Slits distant source e- d D >> d D Intensity => Probability to arrive on screen Probability = |total wave function of electron|2 Total wavefunction of each electron y(x,t) 2 2 1 2 screen at arriving y Probabilit ψ ψ ψ + = = Behind slit, two contributions to each electron, y = y1 + y2
Craig Ogilvie 77 Wavefunction For Isolated, Moving Particle

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