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For obvious reasons the only quantum degrees of freedom available to atoms in a solid are
vibrational. A many-body system is most easily described in terms of quantum field theory, and
in quantum field theory, the collective excitation of a system of quantum vibrators is a boson.
What is this boson called, for solids?
1. wagon.
2. phonon.
3. hopon.
4. oscillaton
5. vibron.
6. jiggleon.
Solution
Phonons are the quantization of vibrations in a solid. Since vibrations are additive, that is, you
can double and triple a (small) vibration and have still be vibration but twice or three times as
strong, phonons must satisfy bose statistics. That is, they do not satisfy the Pauli exclusion
principle. So they're bosons.

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For obvious reasons the only quantum degrees of freedom available to a (1).docx

  • 1. For obvious reasons the only quantum degrees of freedom available to atoms in a solid are vibrational. A many-body system is most easily described in terms of quantum field theory, and in quantum field theory, the collective excitation of a system of quantum vibrators is a boson. What is this boson called, for solids? 1. wagon. 2. phonon. 3. hopon. 4. oscillaton 5. vibron. 6. jiggleon. Solution Phonons are the quantization of vibrations in a solid. Since vibrations are additive, that is, you can double and triple a (small) vibration and have still be vibration but twice or three times as strong, phonons must satisfy bose statistics. That is, they do not satisfy the Pauli exclusion principle. So they're bosons.