05_02_07 - Georg.Hoffstaetter@Cornell.edu 24 2. Wave...

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Unformatted text preview: Georg.Hoffstaetter@Cornell.edu 24 2. Wave properties of particles De Broglie (1924): Light waves regularly have quantization conditions (e.g. standing waves) and also show particle character in photons. Electrons have particle character, but also show quantization conditions in Bohrs model of the atom. Conclusion : Electons could have a similar particle/wave interpretation light. ) cos( , 2 t c m E = = ! Assumed oscillation in rest frame: Moving frame: E c m p c v c m c v c v k x k t x t = = = = = = = - =- 2 2 2 2 2 2 ) ( )) ( cos( ) ( 2 x t x ct ct c v c v- = - = ! ! = = E k p O for electrons at 10keV : 12 pm O for protons at 10MeV: 1 fm O for helium at k B 300K: 75 pm 02/07/2005 Georg.Hoffstaetter@Cornell.edu 25 Group velocity Group velocity: 2 2 2 2 2 ) ( ) ( ) ( ) ( 2 c m kc c m pc E + = + = electron E pc kc...
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05_02_07 - Georg.Hoffstaetter@Cornell.edu 24 2. Wave...

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