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Chapter1_2 - PHY4604 R D Field De Broglies Pilot Waves...

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PHY4604 R. D. Field Department of Physics Chapter1_2.doc University of Florida De Broglie’s Pilot Waves Bohr’s Model of the Hydrogen Atom: One way to arrive at Bohr’s hypothesis is to think of the electron not as a particle but as a standing wave at radius r around the proton. Thus, r n π λ 2 = and π λ 2 n r = with n = 1, 2, 3, … The orbital angular momentum is h n h n p n rp L = = = = π π λ 2 2 , which is Bohr’s hypothesis provided that p = h/ λ ! Pilot Waves: In his doctoral dissertation (1924) Louis De Broglie suggested that if waves can act like particles ( i.e. the photon), why not particles acting like waves? He called these waves “pilot waves” (wave of what?) and assigned them the following wavelength and frequency: h
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