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Unformatted text preview: a. works iii. If x > L: ψ(s) = Ae-κx III. Tunneling a. If the classically-forbidden region is narrow or high goes through b. Radioactivity i. Transmission Coefficient T = e-2αa α = sqrt(2m(U – E)/ħ 2 ) ii. Semi-classical ΔEΔt ~ ħ 1. Particle “borrows” energy to get over the barrier has to pay it back in Δt ~ ħ/E a. Can particle do it in time? IV. II. Again a. If E>U Schrodinger Equation d 2 ψ/dx 2 = -constant*ψ, curvature opposite to ψ (towards axis) b. If E < U constant*ψ curves away from axis Uncertainty Principles ΔxΔp ≥ ħ/2 ħ = h/2π Schrödinger Equation d 2 ψ/dx 2 + (2m/ħ 2 )(E – 0)ψ = 0 Tunneling Probability E U E Allowed Forbidden a U...
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This note was uploaded on 04/07/2008 for the course PHYS 212 taught by Professor Ladd during the Spring '08 term at Bucknell.
- Spring '08