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Lect34_[Compatibility_Mode]

Lect34_[Compatibility_Mode] - Physics 344 Foundations of...

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Physics 344 Foundations of 21 st Century Physics: Relativity, Quantum Mechanics and Their Applications Their Applications Instructor: Dr. Mark Haugan Office: PHYS 282 [email protected] TA: Dan Hartzler Office: PHYS 7 [email protected] Grader: Shuo Liu Office: PHYS 283 [email protected] Office Hours: If you have questions, just email us to make an appointment. We enjoy talking about physics! appointment. Reading: Six Ideas That Shaped Physics Unit Q, Chapters 10 and 11 Notices: Problem Set 11 is due next Monday before the beginning of our last lecture session before Thanksgiving our last lecture session before Thanksgiving Midterm II at 8:00pm, Thursday, December 2 in MSEE B012
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Matter Waves Last week during recitation we saw evidence that an electron beam with suitable kinetic energy diffract from crystals in the same way that x-rays do. Comparing cases quantitatively reveals that in both cases the wave vector Comparing cases quantitatively reveals that in both cases the wave vector associated with the x-ray photons and with the electrons is related to their momenta by the deBroglie relation p k = G G = We’ve managed to reconcile the particle- and wave-like aspects of photons by introducing complex-valued representations of the corresponding electromagnetic fields that we can use to predict probabilities of detecting photons with different energies and momenta and in different locations at different times. In the case of the y -polarized cavity fields that we have studied most closely, ( ) ( ) ( ) sin( ) 2 n n n n ik x ik x i t i t y n n n n n n n e e E i i k x e i i e i ω ω α β α β = = ^ these probability wave amplitudes are ( ) ( ) ( ) cos( ) 2 n n n n ik x ik x i t i t z n n n n n n n e e cB i k x e i e ω ω α β α β + = = ^
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