Lecture7 - WedJan26,2011 Lecture7 ,andwhat QuesCons 1....

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1/26/11 1 PHYS 360 Quantum Mechanics Wed Jan 26, 2011 Lecture 7: Why do parCcles act like waves , and what then is their wavelength ? QuesCons: 1. How do we know that a beam of light transports energy? QuesCons: 1. How do we know that a beam of light transports energy? 2. How do we know that a beam of light transports momentum? QuesCons: 1. How do we know that a beam of light transports energy? 2. How do we know that a beam of light transports momentum? When light scaLers off a free‐floaCng object, it recoils. By applying conservaCon of linear momentum, we deduce the momentum of the light. TheoreCcally, Maxwell’s equaCons find that the energy transported (per unit Cme, unit area, etc) is related to the momentum by: E = cp 3. Why do we think that light is actually made up of parCcles, which we call photons? 3. Why do we think that light is actually made up of parCcles, which we call photons? Planck’s theory for black‐body radiaCon Einstein’s theory of the photoelectric effect Compton effect, the inelasCc scaLering of photons off of electrons…. Planck‐Einstein relaCon for a single photon: E = hf = hc λ (since c = f λ )
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1/26/11 2 Wait a minute…. If Maxwell says a beam of light has energy and momentum such that: E = cp …and Planck & Einstein say that a parCcle of light has an energy: E = hc λ
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