# lec24 - Schrodinger Equation for 1D motion ∂ 2 ψ ∂ x 2...

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1 11/28/10 1 Classical View of Waves & Particles 11/28/10 2 Quantum View 1924 Louis de Broglie: ...think of an electron or any other particle as a matter wave that transfers energy and momentum to other matter at points. .... de Broglie wavelength of a moving particle: 11/28/10 3 Quantum View 11/28/10 4 Quantum View In quantum regime: *all objects, including light & electrons, can exhibit interference *all objects, including light & electrons, carry energy in discrete amounts. These discrete “parcels” are called quanta.

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2 11/28/10 5 Example 28.5 from textbook 11/28/10 6 Wave Function ...motion of a particle wave is described by a wave function
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Unformatted text preview: ..... Schrodinger Equation for 1D motion: ∂ 2 ψ ∂ x 2 + 8 π 2 m h 2 E − U ( x ) [ ] = 11/28/10 7 Wave Function 11/28/10 8 Heisenberg Uncertainty Principle Minimum uncertainty: Δ x Δ p ≥ h 2 = Δ x Δ p = h 2 = Heisenberg Uncertainty Principle: 3 11/28/10 9 Example Assume that an electron is moving along an x axis and that you measure its speed to be 2.05x10-6 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? 11/28/10 10 Tunneling 11/28/10 11 Tunneling 11/28/10 12 Electromagnetic Spectrum...
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lec24 - Schrodinger Equation for 1D motion ∂ 2 ψ ∂ x 2...

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