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Unformatted text preview: ∂ 2 ψ ∂ x 2 + 8 π 2 m h 2 E − U ( x ) [ ] = ©2008 by W.H. Freeman and Company 11/27/11 9 Wave Function 11/27/11 10 Heisenberg Uncertainty Principle Minimum uncertainty: Heisenberg Uncertainty Principle: 11/27/11 11 Example Δ x Δ p = h 2 π Key Idea: Assume that an electron is moving along an x axis and that you measure its speed to be 2.05x106 m/s, which can be known with a precision of 0.50%. What is the minimum uncertainty with which you can simultaneously measure the position of the electron along the x axis? 100 atomic diameters. given electron’s speed, no need to pin down an electron’s position to any greater precision. 11/27/11 12 Tunneling ©2008 by W.H. Freeman and Company Tunneling at an Optical Beamsplitter 11/27/11 14 Tunneling electrons ©2008 by W.H. Freeman and Company ©2008 by W.H. Freeman and Company 11/27/11 17 Electromagnetic Spectrum...
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 Spring '09
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 Physics, Energy, Momentum, Photon, W.H. Freeman

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