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445lec24 - PHYS 445 Lecture 24 Density of states Lecture 24...

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PHYS 445 Lecture 24 - Density of states 24 - 1 © 2001 by David Boal, Simon Fraser University. All rights reserved; further resale or copying is strictly prohibited. Lecture 24 - Density of states What's Important: density of states in phase space Text : Reif Counting quantum states Some time back, we said that we needed to introduce a "density of states" factor in order to convert a sum over discrete states into an integral over continuum states: Σ r exp(- r ) d 3 q d 3 p exp(- ). Similarly, we have now evaluated the number distributions for photons, BE and FD systems, as a function of r and N . But what is N for a box of photons? We now address these issues with a digression into quantum mechanics. The "old" quantum theory will be used, based upon de Broglie's idea that a particle has wave characteristics by virtue of its momentum: = h / p (verified by neutron scattering) Suppose that we place a number of particles with their associated waves in a cubic box with perfectly reflecting walls. If there are interactions among the particles, then
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445lec24 - PHYS 445 Lecture 24 Density of states Lecture 24...

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