Lect07 - Einsteins paper is a bold not to say reckless...

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Lecture 7, p 1 Einstein’s paper is a “bold, not to say reckless, hypothesis…which flies in the face of thoroughly established facts of interference.” --R. Millikan (discover of electric charge) “Its unambiguous experimental verification in spite of its unreasonableness since it seems to violate everything that we knew about the interference of light.” --R. Millikan (after testing Einstein’s photoelectric effect predictions)
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Lecture 7, p 2 Lecture 7: Introduction to Quantum Mechanics: Light as Particles f (x10 14 Hz) V stop (v) 0 0.5 1 1.5 2 2.5 3 3.5 0 5 10 15 f 0 S 1 S 2 + Collector Metal Surface electrons A
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Lecture 7, p 3 This week and next are critical for the course: Week 3, Lectures 7-9: Week 4, Lectures 10-12: Light as Particles Schrödinger Equation Particles as waves Particles in infinite wells, finite wells Probability Uncertainty Principle Midterm Exam Monday, Feb. 14. It will cover lectures 1-11 and some aspects of lectures 11-12. Practice exams: Old exams are linked from the course web page. Review Sunday, Feb. 13, 3-5 PM in 141 Loomis. Office hours: Feb. 13 and 14
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Lecture 7, p 4 This week and next are critical for the course: Week 3, Lectures 7-9: Week 4, Lectures 10-12: Light as Particles Schrödinger Equation Particles as waves Particles in infinite wells, finite wells Probability Uncertainty Principle Midterm Exam Monday, Sep. 20. It will cover lectures 1-11 and some aspects of lectures 11-12. Practice exams: Old exams are linked from the course web page. Review Sunday, Sep. 19, 3-5 PM in 228 Natural History. Office hours: Sep. 19 and 20.
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Lecture 7, p 5 Thumbnail Summary of Waves Wave relationships: Wavelength, frequency, speed, amplitude, intensity v = f λ , I = A 2 , etc . 2-slit interference: Phase difference depends on source phases and path lengths. A tot = 2A 1 cos( φ /2), etc . N-slit interference: Diffraction gratings, Rayleigh’s criterion. 1-slit diffraction: Circular apertures, Rayleigh’s criterion, limits on optics. Interferometers. We’ll use many of these results when we study quantum mechanics.
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Lecture 7, p 6 Today Photoelectric Effect: Light as particles Photons - Quanta of electromagnetic waves The fundamental QM relations : Energy: E = hf or E = ћ ϖ ( ћ = h/2 π and ϖ = 2 π f) Momentum: p = h/ λ These equations relate the wave and particle properties of all quantum mechanical entities. Reading in the text: 38.1-2,9 and 39.1-5 Note: All reading assignments are listed on the syllabus page.
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Lecture 7, p 7 Wave-particle Duality for Light and Matter In Physics 212 and the first 4 Lectures of Physics 214, we considered “light” to be a wave. This was established by experiment in the 19 th century (cf. Poisson spot) Electromagnetic waves exhibit interference and diffraction. Surprise
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This note was uploaded on 04/04/2011 for the course PHYSICS 214 taught by Professor Mestre during the Spring '11 term at University of Illinois at Urbana–Champaign.

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Lect07 - Einsteins paper is a bold not to say reckless...

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