By Albert Eagle

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74 Hot Box and Particle Creation (Boston, MIT) The electromagnetic radiation in a box of volume V can be treated as a noninteracting ideal Bose gas of photons. If the cavity also contains atoms capable of absorbing and emitting photons, the number of photons in the cavity is not definite. The box is composed of a special material that can withstand extremely high temperatures of order 36 PROBLEMS a) Derive the average number of photons in the box. Hint: b) What is the total energy of the radiation in the box for c) What is the entropy of the radiation for d) Assume that photons can create neutral particles of mass and zero spin and that these neutral particles can create photons by annihilation or some other mechanism.

13 in Part I was peacefully drinking tea at five o’clock galactic time, as was his wont, when he had an emergency outside the shuttle, and he had to do an EVA to deal with it. Upon leaving the ship, his jetpack failed, and nothing remained to connect him to the shuttle. Fortunately, he had absentmindedly brought his teacup with him. Since this was the only cup he had, he did not want to throw it away in order to propel him back to the shuttle (besides, it was his favorite cup). 6). Was it really possible?

The quantized energy levels of a diatomic in two dimensions are with degeneracies for J not equal to zero, and when J = 0. As usual, where I is the moment of inertia. Hint: For getting out of the wizard’s evil clutches, treat all levels as having the same degeneracy and then... Oh, no! He’s got me, too! derive the partition function for an individa) Assuming ual diatomic molecule in two dimensions. b) Determine the thermodynamic energy E and heat capacity in the limit, where for a set of indistinguishable, independent, heteronuclear diatomic molecules constrained to rotate in a plane.

### A practical treatise on Fourier's theorem and harmonic analysis for physicists and engineers by Albert Eagle

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