Lecture 21: Time Dependence, SuperFonductivity & Magnetic Resonance I. Time Dependence A. Wave Representation 1. |ψ> = a 1 |ψ 1 > + a 2 |ψ 2 > 2. at later state: a. |ψ(t)> = a 1 e-iEt/ħ ψ 1 + a 2 e-iEt/ħ ψ 2 B. State Representation 1. |ψ> = a 1 |φ 1 > + a 2 |φ 2 > 2. at a later state a. |ψ(t)> = a 1 e-iEt/ħ |φ 1 > + a 1 e-iEt/ħ |φ 2 > C. SEE RULES ON HANDOUT II. Precession A. Elementary Particles have “spin” and a magnetic moment μ 1. measure of strength B produced by Particle 2. μ e = 9.24x10-24 J/T μ p = 1.41x10-26 J/T B. EXAMPLE 1. See Overheads for 4/17 III. Nuclear Magnetic Resonance A. Apply a strong B ext aligns protons Flip protons in one part of body to anti-parallel to B ext B. Photon is emitted and has a half-life dependent on conditions around the proton.
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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.