Say we have a one dimensional chain of N mass points separated by springs of spring constant k. This system can be quantized?(adsbygoogle = window.adsbygoogle || []).push({});

Let the quantized system above be at rest and let one of the end mass points emit a photon of energy E along the crystal axis. Will we get physics similar to he Mossbauer Effect where for small eneough energy E the photon emission would most likely cause the whole crystal to recoil with no phonons likely being produced?

Should it be straight forward quantum physics to determine the energy E of the photon that leads to a 50% chance of no phonons being produced?

If I give an impulse to the last mass point of the classical crystal above do I excite all the vibrational modes of the crystal?

Thanks for any help!

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# 1 dimensional crystal at rest, a nucleus emits gamma ray of energy E,

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