Lect31_[Compatibility_Mode]

Lect31_[Compatibility_Mode] - Physics 344 Foundations of...

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Physics 344 Foundations of 21 st Century Physics: Relativity, Quantum Mechanics and heir 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 ppointment. e enjoy talking about physics! appointment. We enjoy talking about physics! Reading: Before tomorrow’s recitation session please (re)read the material on x-ray diffraction in section 24.1 of the M&I text.
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States of the EM Field in a Resonant Cavity Last time we found a way to express the probability of detecting a high-frequency photon with the mode- m energy ħω m in a cavity field state described using the wave model of light, 22 2 2 11 () mm m m nn n E P E αβ α β ∞∞ == + = = + ∑∑ where E r presents the magnitude of the electric field amplitude in the ee m ep ese s e ag ude o e e ec c e d a p ude e m th mode of the cavity field state. This probability is simply the ratio of the cavity field energy in mode m to the total cavity field energy, E total . e also found an analogous way to express the probability of detecting high We also found an analogous way to express the probability of detecting high- frequency photons in the neighborhood of a location x within the cavity field at different times, (,) uxt xt ρ < > = total E where u(x,t) is the cavity-field energy density described using the wave model of light. Today we discuss and demonstrate how these probability distributions can be used to make the kind of predictions that quantum theories make in the context of a specific cavity field.
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This note was uploaded on 11/26/2010 for the course PHYS 344 taught by Professor Garfinkel during the Spring '08 term at Purdue.

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Lect31_[Compatibility_Mode] - Physics 344 Foundations of...

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