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Notes3A1 - Wave Nature of Matter I Matter Waves A Louis de...

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Wave Nature of Matter I. Matter Waves A. Louis de Broglie - 1924 All matter ("particles") also posses wave properties . Louis de Broglie assumes that nature has a basic symmetry. If light travels as a wave but interacts as a particle as claimed by Einstein then particles must also have wave properties! Furthermore, the basic equations must be analogous since all particles are waves and vice-versa. B. Linear Momentum and Wavelength k h v M p = = = λ To have linear momentum implies that a baseball has a ___wavelength _____________ and _____frequency _________________ . C. Important Concepts and Possible Errors 1. M is the __relativistic ___________ _____mass ___________ and not the ______rest _____________ ______mass ______________ . 2. c p E except for massless particles like photons. You must use the correct energy-linear momentum relationship for problems involving high-speed particles ( 29 ( 29 2 2 o 2 2 c m pc E + =
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3. We obtained deBroglie's relationship in an earlier lesson for photons using Einstein's photon hypothesis, E= h ν . In fact, Louis de Broglie states that his relationship is more fundamental with Einstein's energy relationship being a special case for a zero rest mass particle traveling at speed c.
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