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Unformatted text preview: Georg.Hoffstaetter@Cornell.edu 7 The first quantum property discussed was that of light by Max Plank (1900). By proposing light quanta he derived the function Derivation: 1. Represent the black body as a black body box. 2. In order to find what radiation escapes from the hole, compute the energy in the box in the frequency interval from Q to Q +d Q . 3. Derive the number of radiation modes for this interval in the black body box: 4. Use the fact from statistical mechanics that for a temperature T, the probability for system to have energy E is given by exp(-E/kT) . 5a. Initially: Each radiation mode can have arbitrary intensity 5b. Plank: Assume the each mode can only have an energy that is a multiple of some Q dependent quantum H Q 6. Compute the average energy per mode and sum over all modes. Derivation of black body radiation 5HVXOW Wiens displacement law and Stefans law ) ( T f d g dZ ) ( = 01/26/2005 Georg.Hoffstaetter@Cornell.eduGeorg....
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