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Lect_35_note - Chapter 40-42 Introduction to Quantum...

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Chapter 40-42 Introduction to Quantum Physics
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Louis de Broglie z Originally studied history z Was awarded the Nobel Prize in 1929 1892 – 1987 French
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Wave Properties of Particles z Louis de Broglie postulated that because photons have both wave and particle characteristics, perhaps all forms of matter have both properties, too !!! p λ f
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EM Waves and Photons z E=hf – from Einstein z E=pc – from Maxwell z So, p=hf/c=h/ λ , z =h /p λ f P
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de Broglie’s postulation z In an analogy with photons, de Broglie postulated that a particle would also have a wavelength ( de Broglie wavelength) associated with its momentum. P =mv v hh λ p mu == v λ f
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de Broglie’s postulation z A particle would also have a frequency associated with its total energy P =mv v E= hf ƒ E h = λ f
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Dual nature of matter (particle) λ f z These equations present the dual nature of matter z Particle nature, p and E z Wave nature, λ and ƒ ƒ E h = P, E v hh λ p mu == v
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Solution to difficulties of the Bohr Model z It is not known why only certain electron orbits are stable L= m e vr±= ±n ħ +
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Elecron form Standing Waves in Bohr’s Hydrogen Atom hh λ p mu == v z Standing waves: n λ =2 π r z nh/mv=2 r z mvr = n ħ
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Standing Waves in Bohr’s Hydrogen Atom
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This note was uploaded on 01/28/2011 for the course PHYS 011 taught by Professor Nianlin during the Fall '08 term at HKUST.

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Lect_35_note - Chapter 40-42 Introduction to Quantum...

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